Browse by Mathematics Subject Classification
-
00 General (421 articles)
-
00 General
-
00-00 Difficult to classify at the second level (must be assigned at least one other classification number in this section) (2 articles)
-
00-01 Instructional exposition (textbooks, tutorial papers, etc.) (3 articles)
-
00-02 Research exposition (monographs, survey articles)
-
00.0 (1940-1958) Bibliographical notes
-
00.00 (1959-1972) General (1 articles)
-
00.04 (1959-1972) translation volumes, etc.
-
00.20 (1959-1972) General bibliographies
-
00.30 (1959-1972) Dictionaries and other general reference works
-
00.50 (1959-1972) Methodology and philosophy of mathematics
-
00.99 (1959-1972) None of the above, but in this section
-
00Axx General and miscellaneous specific topics (392 articles)
-
00Axx General and miscellaneous specific topics (7 articles)
-
00A05 General mathematics (26 articles)
-
00A06 Mathematics for nonmathematicians (engineering, social sciences, etc.) (6 articles)
-
00A07 Problem books (2 articles)
-
00A08 Recreational mathematics (22 articles)
-
00A15 Bibliographies (3 articles)
-
00A17 External book reviews (158 articles)
-
00A20 Dictionaries and other general reference works (2 articles)
-
00A22 Formularies
-
00A30 Philosophy of mathematics (34 articles)
-
00A35 Methodology of mathematics, didactics (31 articles)
-
00A69 General applied mathematics (35 articles)
-
00A71 Theory of mathematical modeling (5 articles)
-
00A72 General methods of simulation (1 articles)
-
00A73 Dimensional analysis (2 articles)
-
00A79 Physics (use more specific entries from Sections 70 through 86 when possible) (5 articles)
-
00A99 Miscellaneous topics (53 articles)
-
00Bxx Conference proceedings and collections of papers (23 articles)
-
00Bxx Conference proceedings and collections of papers
-
00B05 Collections of abstracts of lectures
-
00B10 Collections of articles of general interest
-
00B15 Collections of articles of miscellaneous specific content
-
00B20 Proceedings of conferences of general interest (1 articles)
-
00B25 Proceedings of conferences of miscellaneous specific interest (20 articles)
-
00B30 Festschriften (2 articles)
-
00B50 Volumes of selected translations
-
00B55 Miscellaneous volumes of translations
-
00B60 Collections of reprinted articles
-
01 History and biography (1732 articles)
-
01 History and biography
-
01-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (10 articles)
-
01-01 Instructional exposition (textbooks, tutorial papers, etc.) (63 articles)
-
01-02 Research exposition (monographs, survey articles) (2 articles)
-
01-06 Proceedings, conferences, collections, etc. (9 articles)
-
01-08 Computational methods (1 articles)
-
01.0 (1940-1958) History, biography
-
01.00 (1959-1972) General (5 articles)
-
01.01 (1959-1972) General histories, source books
-
01.02 (1959-1972) Primitive
-
01.05 (1959-1972) Pre-Greek, Babylonian, Egyptian
-
01.08 (1959-1972) Greek
-
01.10 (1959-1972) Far East (1 articles)
-
01.12 (1959-1972) Islam
-
01.15 (1959-1972) Medieval
-
01.18 (1959-1972) 15th and 16th centuries, Renaissance
-
01.20 (1959-1972) 17th century
-
01.25 (1959-1972) 18th century
-
01.30 (1959-1972) 19th century
-
01.35 (1959-1972) 20th century (2 articles)
-
01.40 (1959-1972) Contemporary
-
01.50 (1959-1972) Biographies, obituaries, personalia (4 articles)
-
01.60 (1959-1972) Collected or selected works; reprintings or translations of classics
-
01.99 (1959-1972) None of the above, but in this section
-
01Axx History of mathematics and mathematicians (1635 articles)
-
02 (1940-1979) Logic and foundations (23 articles)
-
02 (1940-1979) Logic and foundations
-
02-00 (1973-1979) Difficult to classify at the second level (must be assigned at least one other classification number in this section) (6 articles)
-
02-01 (1973-1979) Elementary exposition (collegiate level)
-
02-02 (1973-1979) Advanced exposition (research surveys, etc.)
-
02-03 (1973-1979) Historical
-
02-04 (1973-1979) Explicit machine computation and programs (not the theory of computation or programming)
-
02-06 (1973-1979) Collections of papers; proceedings of conferences
-
02.0 (1940-1958) Foundations, logic, theory of sets
-
02.00 (1959-1972) General (5 articles)
-
02.10 (1959-1972) Classical deductive systems, general
-
02.12 (1959-1972) Propositional calculus, two-valued
-
02.16 (1959-1972) Predicate calculus
-
02.18 (1959-1972) Classical proof theory
-
02.20 (1959-1972) Nonclassical logic, general
-
02.23 (1959-1972) Intuitionism
-
02.25 (1959-1972) Many-valued logic
-
02.27 (1959-1972) Modal logic
-
02.30 (1959-1972) Formal syntax and linguistics, general (1 articles)
-
02.32 (1959-1972) Higher-order languages
-
02.35 (1959-1972) Infinitary languages
-
02.38 (1959-1972) Languages with additional quantifiers
-
02.40 (1959-1972) Algebraic logic, general
-
02.42 (1959-1972) Boolean algebras, lattices, topologies
-
02.45 (1959-1972) Algebra of relations
-
02.48 (1959-1972) Cylindric and polyadic algebras
-
02.50 (1959-1972) Model theory, general
-
02.52 (1959-1972) Semantics and metamathematics, categoricity (1 articles)
-
02.54 (1959-1972) Axiomatics and applications, decision methods
-
02.57 (1959-1972) Non-standard models
-
02.60 (1959-1972) Axiomatic set theory, general (1 articles)
-
02.63 (1959-1972) Formalization of set theory (1 articles)
-
02.65 (1959-1972) Consistency, independence, existence (2 articles)
-
02.68 (1959-1972) Measurability, accessibility, other special questions
-
02.70 (1959-1972) Recursive function theory, general (1 articles)
-
02.72 (1959-1972) Arithmetic and recursive analysis
-
02.74 (1959-1972) Undecidability
-
02.75 (1959-1972) Unsolvability in mathematical systems
-
02.77 (1959-1972) Hierarchies
-
02.80 (1959-1972) Algorithms and machines, general (3 articles)
-
02.82 (1959-1972) Turing, Post, Thue schemes
-
02.85 (1959-1972) Combinatory logic
-
02.88 (1959-1972) Abstract automaton theory (2 articles)
-
02.99 (1959-1972) None of the above, but in this section
-
03 Mathematical logic and foundations (1891 articles)
-
03 Mathematical logic and foundations
-
03-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
03-01 Instructional exposition (textbooks, tutorial papers, etc.) (8 articles)
-
03-02 Research exposition (monographs, survey articles) (6 articles)
-
03-03 Historical (must also be assigned at least one classification number from Section 01) (14 articles)
-
03-04 Explicit machine computation and programs (not the theory of computation or programming)
-
03-06 Proceedings, conferences, collections, etc. (4 articles)
-
03A05 Philosophical and critical (33 articles)
-
03Bxx General logic (275 articles)
-
03Bxx General logic (1 articles)
-
03B05 Classical propositional logic (12 articles)
-
03B10 Classical first-order logic (5 articles)
-
03B15 Higher-order logic and type theory (4 articles)
-
03B20 Subsystems of classical logic (including intuitionistic logic) (4 articles)
-
03B22 Abstract deductive systems (5 articles)
-
03B25 Decidability of theories and sets of sentences (11 articles)
-
03B30 Foundations of classical theories (including reverse mathematics) (10 articles)
-
03B35 Mechanization of proofs and logical operations (12 articles)
-
03B40 Combinatory logic and lambda-calculus (5 articles)
-
03B42 Logic of knowledge and belief (1 articles)
-
03B44 Temporal logic (1 articles)
-
03B45 Modal logic (12 articles)
-
03B47 Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics) (5 articles)
-
03B48 Probability and inductive logic (13 articles)
-
03B50 Many-valued logic (33 articles)
-
03B52 Fuzzy logic; logic of vagueness (97 articles)
-
03B53 Logics admitting inconsistency (paraconsistent logics, discussive logics, etc.) (1 articles)
-
03B55 Intermediate logics (1 articles)
-
03B60 Other nonclassical logic (11 articles)
-
03B65 Logic of natural languages (8 articles)
-
03B70 Logic in computer science (2 articles)
-
03B80 Other applications of logic
-
03B99 None of the above, but in this section (21 articles)
-
03Cxx Model theory (119 articles)
-
03Cxx Model theory (2 articles)
-
03C05 Equational classes, universal algebra (31 articles)
-
03C07 Basic properties of first-order languages and structures (1 articles)
-
03C10 Quantifier elimination, model completeness and related topics (1 articles)
-
03C13 Finite structures (7 articles)
-
03C15 Denumerable structures (3 articles)
-
03C20 Ultraproducts and related constructions (10 articles)
-
03C25 Model-theoretic forcing (1 articles)
-
03C30 Other model constructions (5 articles)
-
03C35 Categoricity and completeness of theories
-
03C40 Interpolation, preservation, definability (2 articles)
-
03C45 Classification theory, stability and related concepts (2 articles)
-
03C50 Models with special properties (saturated, rigid, etc.) (9 articles)
-
03C52 Properties of classes of models (2 articles)
-
03C55 Set-theoretic model theory (1 articles)
-
03C57 Effective and recursion-theoretic model theory (1 articles)
-
03C60 Model-theoretic algebra (8 articles)
-
03C62 Models of arithmetic and set theory (5 articles)
-
03C64 Model theory of ordered structures; o-minimality
-
03C65 Models of other mathematical theories (8 articles)
-
03C68 Other classical first-order model theory (3 articles)
-
03C70 Logic on admissible sets
-
03C75 Other infinitary logic (1 articles)
-
03C80 Logic with extra quantifiers and operators (1 articles)
-
03C85 Second- and higher-order model theory (1 articles)
-
03C90 Nonclassical models (Boolean-valued, sheaf, etc.) (2 articles)
-
03C95 Abstract model theory (1 articles)
-
03C98 Applications of model theory (4 articles)
-
03C99 None of the above, but in this section (7 articles)
-
03Dxx Computability and recursion theory (104 articles)
-
03Dxx Computability and recursion theory
-
03D03 Thue and Post systems, etc.
-
03D05 Automata and formal grammars in connection with logical questions (11 articles)
-
03D10 Turing machines and related notions (13 articles)
-
03D15 Complexity of computation (15 articles)
-
03D20 Recursive functions and relations, subrecursive hierarchies (8 articles)
-
03D25 Recursively (computably) enumerable sets and degrees (7 articles)
-
03D28 Other Turing degree structures
-
03D30 Other degrees and reducibilities (9 articles)
-
03D35 Undecidability and degrees of sets of sentences (3 articles)
-
03D40 Word problems, etc. (1 articles)
-
03D45 Theory of numerations, effectively presented structures (2 articles)
-
03D50 Recursive equivalence types of sets and structures, isols
-
03D55 Hierarchies (12 articles)
-
03D60 Computability and recursion theory on ordinals, admissible sets, etc. (9 articles)
-
03D65 Higher-type and set recursion theory
-
03D70 Inductive definability (3 articles)
-
03D75 Abstract and axiomatic computability and recursion theory (1 articles)
-
03D80 Applications of computability and recursion theory (3 articles)
-
03D99 None of the above, but in this section (7 articles)
-
03Exx Set theory (866 articles)
-
03Exx Set theory (3 articles)
-
03E02 Partition relations (7 articles)
-
03E04 Ordered sets and their cofinalities; pcf theory (5 articles)
-
03E05 Other combinatorial set theory (93 articles)
-
03E10 Ordinal and cardinal numbers (19 articles)
-
03E15 Descriptive set theory (50 articles)
-
03E17 Cardinal characteristics of the continuum (35 articles)
-
03E20 Other classical set theory (including functions, relations, and set algebra) (52 articles)
-
03E25 Axiom of choice and related propositions (52 articles)
-
03E30 Axiomatics of classical set theory and its fragments (10 articles)
-
03E35 Consistency and independence results (106 articles)
-
03E40 Other aspects of forcing and Boolean-valued models (28 articles)
-
03E45 Inner models, including constructibility, ordinal definability, and core models (10 articles)
-
03E47 Other notions of set-theoretic definability (1 articles)
-
03E50 Continuum hypothesis and Martin's axiom (38 articles)
-
03E55 Large cardinals (28 articles)
-
03E60 Determinacy principles (4 articles)
-
03E65 Other hypotheses and axioms (15 articles)
-
03E70 Nonclassical and second-order set theories (91 articles)
-
03E72 Fuzzy set theory (184 articles)
-
03E75 Applications of set theory (20 articles)
-
03E99 None of the above, but in this section (15 articles)
-
03Fxx Proof theory and constructive mathematics (110 articles)
-
03Fxx Proof theory and constructive mathematics
-
03F03 Proof theory, general (1 articles)
-
03F05 Cut-elimination and normal-form theorems (3 articles)
-
03F07 Structure of proofs (6 articles)
-
03F10 Functionals in proof theory
-
03F15 Recursive ordinals and ordinal notations
-
03F20 Complexity of proofs (5 articles)
-
03F25 Relative consistency and interpretations (6 articles)
-
03F30 First-order arithmetic and fragments (12 articles)
-
03F35 Second- and higher-order arithmetic and fragments (4 articles)
-
03F40 Gödel numberings in proof theory (1 articles)
-
03F45 Provability logics and related algebras (e.g., diagonalizable algebras) (1 articles)
-
03F50 Metamathematics of constructive systems
-
03F52 Linear logic and other substructural logics
-
03F55 Intuitionistic mathematics (2 articles)
-
03F60 Constructive and recursive analysis (17 articles)
-
03F65 Other constructive mathematics (19 articles)
-
03F99 None of the above, but in this section (33 articles)
-
03Gxx Algebraic logic (271 articles)
-
03Hxx Nonstandard models (81 articles)
-
03Hxx Nonstandard models
-
03H05 Nonstandard models in mathematics (31 articles)
-
03H10 Other applications of nonstandard models (economics, physics, etc.) (3 articles)
-
03H15 Nonstandard models of arithmetic (23 articles)
-
03H99 None of the above, but in this section (24 articles)
-
04 Set theory (172 articles)
-
04 Set theory
-
04-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
04-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
04-02 Research exposition (monographs, survey articles)
-
04-03 Historical (must be assigned at least one classification number from Section 01) (1 articles)
-
04-04 Explicit machine computation and programs (not the theory of computation or programming)
-
04-06 Proceedings, conferences, collections, etc.
-
04.00 (1959-1972) General (3 articles)
-
04.15 (1959-1972) Point sets
-
04.20 (1959-1972) Relations (2 articles)
-
04.30 (1959-1972) Transfinite numbers (1 articles)
-
04.40 (1959-1972) Descriptive set theory; Borel classifications, Suslin schemes, etc. (4 articles)
-
04.60 (1959-1972) Combinatorial (4 articles)
-
04.99 (1959-1972) None of the above, but in this section (1 articles)
-
04A03 Set algebra
-
04A05 Relations, functions (35 articles)
-
04A10 Ordinal and cardinal numbers; generalizations (3 articles)
-
04A15 Descriptive set theory; Borel classifications, Suslin schemes, etc. (17 articles)
-
04A20 Combinatorial set theory (40 articles)
-
04A25 Axiom of choice and equivalent propositions (Zorn's lemma, etc.) (8 articles)
-
04A30 Continuum hypothesis, generalized continuum hypothesis (4 articles)
-
04A72 Fuzzy sets, fuzzy relations (43 articles)
-
04A99 Miscellaneous topics (5 articles)
-
05 Combinatorics (2507 articles)
-
05 Combinatorics
-
05-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (3 articles)
-
05-01 Instructional exposition (textbooks, tutorial papers, etc.) (3 articles)
-
05-02 Research exposition (monographs, survey articles) (4 articles)
-
05-03 Historical (must also be assigned at least one classification number from Section 01) (3 articles)
-
05-04 Explicit machine computation and programs (not the theory of computation or programming) (6 articles)
-
05-06 Proceedings, conferences, collections, etc.
-
05.0 (1940-1958) Combinatorial analysis
-
05.00 (1959-1972) General (5 articles)
-
05.04 (1959-1972) Combinatorial choice problems; subsets, representatives (4 articles)
-
05.05 (1959-1972) Factorials, binomial coefficients, combinatorial functions (6 articles)
-
05.10 (1959-1972) Combinatorial enumeration problems, generating functions (6 articles)
-
05.15 (1959-1972) Combinatorial inequalities
-
05.20 (1959-1972) Block designs (1 articles)
-
05.22 (1959-1972) Difference sets (number-theoretic, group-theoretic, etc.) (1 articles)
-
05.24 (1959-1972) Orthogonal arrays, Latin squares (1 articles)
-
05.25 (1959-1972) Matrices
-
05.27 (1959-1972) Finite geometries
-
05.30 (1959-1972) Other designs, configurations
-
05.35 (1959-1972) Matroids, geometric lattices
-
05.40 (1959-1972) Graphs, general theory (15 articles)
-
05.45 (1959-1972) Trees (1 articles)
-
05.50 (1959-1972) Topological graph theory, embedding (1 articles)
-
05.55 (1959-1972) Chromatic theory of graphs and maps (2 articles)
-
05.60 (1959-1972) Directed graphs (digraphs) (5 articles)
-
05.62 (1959-1972) Graphs and groups (4 articles)
-
05.65 (1959-1972) Enumeration of graphs and maps (1 articles)
-
05.99 (1959-1972) None of the above, but in this section
-
05Axx Enumerative combinatorics (197 articles)
-
05Axx Enumerative combinatorics (3 articles)
-
05A05 Combinatorial choice problems (subsets, representatives, permutations) (33 articles)
-
05A10 Factorials, binomial coefficients, combinatorial functions (22 articles)
-
05A15 Exact enumeration problems, generating functions (40 articles)
-
05A16 Asymptotic enumeration (3 articles)
-
05A17 Partitions of integers (31 articles)
-
05A18 Partitions of sets (9 articles)
-
05A19 Combinatorial identities (24 articles)
-
05A20 Combinatorial inequalities (5 articles)
-
05A30 $q$-calculus and related topics (8 articles)
-
05A40 Umbral calculus (4 articles)
-
05A99 None of the above, but in this section (15 articles)
-
05Bxx Designs and configurations (167 articles)
-
05Cxx Graph theory (2024 articles)
-
05Cxx Graph theory (21 articles)
-
05C05 Trees (124 articles)
-
05C07 Degree sequences (23 articles)
-
05C10 Topological graph theory, imbedding (102 articles)
-
05C12 Distance in graphs (101 articles)
-
05C15 Coloring of graphs and hypergraphs (131 articles)
-
05C17 Perfect graphs (2 articles)
-
05C20 Directed graphs (digraphs), tournaments (157 articles)
-
05C22 Signed, gain and biased graphs (11 articles)
-
05C25 Graphs and groups (89 articles)
-
05C30 Enumeration of graphs and maps (23 articles)
-
05C35 Extremal problems (170 articles)
-
05C38 Paths and cycles (121 articles)
-
05C40 Connectivity (62 articles)
-
05C45 Eulerian and Hamiltonian graphs (49 articles)
-
05C50 Graphs and matrices (114 articles)
-
05C55 Generalized Ramsey theory (29 articles)
-
05C60 Isomorphism problems (reconstruction conjecture, etc.) (19 articles)
-
05C62 Graph representations (geometric and intersection representations, etc.) (3 articles)
-
05C65 Hypergraphs (44 articles)
-
05C69 Dominating sets, independent sets, cliques (75 articles)
-
05C70 Factorization, matching, covering and packing (92 articles)
-
05C75 Structural characterization of types of graphs (123 articles)
-
05C78 Graph labelling (graceful graphs, bandwidth, etc.) (30 articles)
-
05C80 Random graphs (8 articles)
-
05C83 Graph minors (2 articles)
-
05C85 Graph algorithms (23 articles)
-
05C90 Applications (11 articles)
-
05C99 None of the above, but in this section (265 articles)
-
05Dxx Extremal combinatorics (24 articles)
-
05Exx Algebraic combinatorics (23 articles)
-
05Exx Algebraic combinatorics
-
05E05 Symmetric functions (4 articles)
-
05E10 Tableaux, representations of the symmetric group (4 articles)
-
05E15 Combinatorial problems concerning the classical groups (4 articles)
-
05E20 Group actions on designs, geometries and codes (1 articles)
-
05E25 Group actions on posets and homology groups of posets
-
05E30 Association schemes, strongly regular graphs (6 articles)
-
05E35 Orthogonal polynomials
-
05E99 None of the above, but in this section (4 articles)
-
06 Order, lattices, ordered algebraic structures (2266 articles)
-
06 Order, lattices, ordered algebraic structures
-
06-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (12 articles)
-
06-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
06-02 Research exposition (monographs, survey articles) (1 articles)
-
06-03 Historical (must also be assigned at least one classification number from Section 01) (1 articles)
-
06-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
06-06 Proceedings, conferences, collections, etc.
-
06.0 (1940-1958) Partial order, lattices
-
06.00 (1959-1972) General (10 articles)
-
06.10 (1959-1972) Total order (1 articles)
-
06.20 (1959-1972) Partial order (5 articles)
-
06.30 (1959-1972) Lattices, generalizations (8 articles)
-
06.35 (1959-1972) Complemented lattices, generalizations
-
06.40 (1959-1972) Modular lattices, continuous geometries, generalizations (2 articles)
-
06.50 (1959-1972) Distributive lattices, generalizations (4 articles)
-
06.60 (1959-1972) Boolean algebras and rings (3 articles)
-
06.65 (1959-1972) Order topologies (3 articles)
-
06.70 (1959-1972) Ordered semigroups, other generalizations of groups (4 articles)
-
06.75 (1959-1972) Ordered groups (15 articles)
-
06.78 (1959-1972) Ordered abelian groups (1 articles)
-
06.80 (1959-1972) Ordered linear spaces
-
06.85 (1959-1972) Ordered rings, algebras, modules (See 12.70 for ordered fields)
-
06.90 (1959-1972) Other ordered algebraic structures
-
06.99 (1959-1972) None of the above, but in this section
-
06Axx Ordered sets (409 articles)
-
06Bxx Lattices (466 articles)
-
06Cxx Modular lattices, complemented lattices (199 articles)
-
06Cxx Modular lattices, complemented lattices
-
06C05 Modular lattices, Desarguesian lattices (51 articles)
-
06C10 Semimodular lattices, geometric lattices (13 articles)
-
06C15 Complemented lattices, orthocomplemented lattices and posets (120 articles)
-
06C20 Complemented modular lattices, continuous geometries (7 articles)
-
06C99 None of the above, but in this section (8 articles)
-
06Dxx Distributive lattices (400 articles)
-
06Exx Boolean algebras (Boolean rings) (132 articles)
-
06Exx Boolean algebras (Boolean rings) (3 articles)
-
06E05 Structure theory (46 articles)
-
06E10 Chain conditions, complete algebras (15 articles)
-
06E15 Stone space and related constructions (16 articles)
-
06E20 Ring-theoretic properties (9 articles)
-
06E25 Boolean algebras with additional operations (diagonalizable algebras, etc.) (3 articles)
-
06E30 Boolean functions (9 articles)
-
06E99 None of the above, but in this section (31 articles)
-
06Fxx Ordered structures (589 articles)
-
08 General algebraic systems (1097 articles)
-
08 General algebraic systems
-
08-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
08-01 Instructional exposition (textbooks, tutorial papers, etc.) (1 articles)
-
08-02 Research exposition (monographs, survey articles) (2 articles)
-
08-03 Historical (must also be assigned at least one classification number from Section 01) (3 articles)
-
08-04 Explicit machine computation and programs (not the theory of computation or programming) (2 articles)
-
08-06 Proceedings, conferences, collections, etc.
-
08.00 (1959-1972) General (3 articles)
-
08.10 (1959-1972) Concrete categories, structures (3 articles)
-
08.20 (1959-1972) Laws of composition
-
08.30 (1959-1972) Universal algebra, general algebraic structures (5 articles)
-
08.40 (1959-1972) Other (1 articles)
-
08.99 (1959-1972) None of the above, but in this section
-
08Axx Algebraic structures (732 articles)
-
08Bxx Varieties (293 articles)
-
08Bxx Varieties
-
08B05 Equational logic, Malcev (Maltsev) conditions (90 articles)
-
08B10 Congruence modularity, congruence distributivity (48 articles)
-
08B15 Lattices of varieties (44 articles)
-
08B20 Free algebras (37 articles)
-
08B25 Products, amalgamated products, and other kinds of limits and colimits (9 articles)
-
08B26 Subdirect products and subdirect irreducibility (13 articles)
-
08B30 Injectives, projectives (2 articles)
-
08B99 None of the above, but in this section (50 articles)
-
08Cxx Other classes of algebras (51 articles)
-
08Cxx Other classes of algebras
-
08C05 Categories of algebras (19 articles)
-
08C10 Axiomatic model classes (6 articles)
-
08C15 Quasivarieties (18 articles)
-
08C99 None of the above, but in this section (8 articles)
-
09 (1940-1972) Classical algebra
-
09 (1940-1972) Classical algebra
-
09.0 (1940-1958) Algebra
-
09.00 (1959-1972) Classical algebra
-
09.1 (1940-1958) Abstract algebra
-
09.2 (1940-1958) Elementary algebra
-
09.3 (1940-1958) Rings, fields and algebras
-
10 (1940-1984) Number theory (41 articles)
-
10 (1940-1984) Number theory
-
10-00 (1973-1979) Difficult to classify at the second level (must be assigned at least one other
classification number in this section) (2 articles)
-
10-01 (1973-1984) Elementary exposition, textbooks
-
10-02 (1973-1984) Advanced exposition (research surveys, monographs, etc.)
-
10-03 (1973-1984) Historical (must also be assigned at least one classification number from
Section 01) (1 articles)
-
10-04 (1973-1984) Explicit machine computation and programs (not the theory of computation or
programming)
-
10-06 (1973-1984) Proceedings, conferences, etc.
-
10.0 (1940-1958) Number theory
-
10.00 (1959-1972) General (7 articles)
-
10.01 (1959-1972) General books
-
10.02 (1959-1972) Tables
-
10.03 (1959-1972) Computations
-
10.05 (1959-1972) Elementary number theory, general (2 articles)
-
10.06 (1959-1972) Congruences, residues (1 articles)
-
10.07 (1959-1972) Special functions and sequences
-
10.08 (1959-1972) Elementary prime number theory
-
10.09 (1959-1972) Expansions and algorithms (2 articles)
-
10.1 (1940-1958) Analytic number theory
-
10.10 (1959-1972) Diophantine equations, general (1 articles)
-
10.11 (1959-1972) Linear and quadratic equations (2 articles)
-
10.12 (1959-1972) Cubic and quartic equations
-
10.13 (1959-1972) Equations of higher degree (1 articles)
-
10.14 (1959-1972) Local ($p$-adic) theory
-
10.15 (1959-1972) Forms, general
-
10.16 (1959-1972) Quadratic, Hermitian forms
-
10.17 (1959-1972) Forms of degree $\geq 3$ (1 articles)
-
10.18 (1959-1972) Multi-linear forms
-
10.2 (1940-1958) Algebraic number theory
-
10.20 (1959-1972) Modular functions and forms, automorphic functions
-
10.21 (1959-1972) Modular group, modular functions
-
10.22 (1959-1972) Automorphic forms, one variable
-
10.23 (1959-1972) Several variables
-
10.25 (1959-1972) Geometry of numbers
-
10.3 (1940-1958) Geometry of numbers, Diophantine approximation
-
10.30 (1959-1972) Diophantine approximation (1 articles)
-
10.31 (1959-1972) Linear approximation, continued fractions
-
10.32 (1959-1972) Algebraicity, irrationality and transcendence (1 articles)
-
10.33 (1959-1972) Distribution modulo 1, normal numbers (2 articles)
-
10.34 (1959-1972) Analytic and $p$-adic theory
-
10.4 (1940-1958) Continued fractions
-
10.40 (1959-1972) Analytic multiplicative theory, general
-
10.41 (1959-1972) Analytic tools (Zeta- and $L$-functions, exponential sums, etc.) (4 articles)
-
10.42 (1959-1972) Distribution of the integers with specified multiplicative structure (including
primes) (2 articles)
-
10.43 (1959-1972) Number-theoretic functions
-
10.45 (1959-1972) Analytic additive theory, general (1 articles)
-
10.46 (1959-1972) Sums of powers, generalizations (4 articles)
-
10.47 (1959-1972) Additive questions concerning primes
-
10.48 (1959-1972) Partitions, generating functions (1 articles)
-
10.49 (1959-1972) Sequences
-
10.50 (1959-1972) Probabilistic number theory (2 articles)
-
10.55 (1959-1972) Combinatorial problems in number theory
-
10.60 (1959-1972) Sequences of integers, general (1 articles)
-
10.61 (1959-1972) Recursive and other special sequences
-
10.62 (1959-1972) Addition of sequences, basis, essential components, etc. (1 articles)
-
10.63 (1959-1972) Density of special sequences
-
10.64 (1959-1972) Sieves
-
10.65 (1959-1972) Algebraic number theory, general
-
10.66 (1959-1972) Individual algebraic number fields (quadratic, cubic, cyclotomic, Kummer, etc.) (1 articles)
-
10.67 (1959-1972) Local theory (valuations, finite extensions of $p$-adic fields)
-
10.68 (1959-1972) Class field theory, complex multiplication
-
10.69 (1959-1972) Arithmetic of general rings
-
10.75 (1959-1972) Arithmetic theory of algebraic objects
-
10.76 (1959-1972) Polynomials
-
10.77 (1959-1972) Finite fields, power series fields
-
10.78 (1959-1972) Valued fields, algebraic function fields
-
10.79 (1959-1972) Matrices
-
10.80 (1959-1972) Decidability, other logical questions
-
10.99 (1959-1972) None of the above, but in this section
-
11 Number theory (1753 articles)
-
11 Number theory
-
11-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
11-01 Instructional exposition (textbooks, tutorial papers, etc.) (14 articles)
-
11-02 Research exposition (monographs, survey articles) (6 articles)
-
11-03 Historical (must also be assigned at least one classification number from Section 01) (13 articles)
-
11-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
11-06 Proceedings, conferences, collections, etc.
-
11Axx Elementary number theory (287 articles)
-
11Axx Elementary number theory (2 articles)
-
11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors (38 articles)
-
11A07 Congruences; primitive roots; residue systems (65 articles)
-
11A15 Power residues, reciprocity (20 articles)
-
11A25 Arithmetic functions; related numbers; inversion formulas (62 articles)
-
11A41 Primes (28 articles)
-
11A51 Factorization; primality (26 articles)
-
11A55 Continued fractions (18 articles)
-
11A63 Radix representation; digital problems (19 articles)
-
11A67 Other representations (1 articles)
-
11A99 None of the above, but in this section (8 articles)
-
11Bxx Sequences and sets (268 articles)
-
11Cxx Polynomials and matrices (28 articles)
-
11Dxx Diophantine equations (130 articles)
-
11Dxx Diophantine equations
-
11D04 Linear equations (15 articles)
-
11D09 Quadratic and bilinear equations (15 articles)
-
11D25 Cubic and quartic equations (12 articles)
-
11D41 Higher degree equations; Fermat's equation (17 articles)
-
11D45 Counting solutions of Diophantine equations (9 articles)
-
11D57 Multiplicative and norm form equations (3 articles)
-
11D59 Thue-Mahler equations (4 articles)
-
11D61 Exponential equations (21 articles)
-
11D68 Rational numbers as sums of fractions (4 articles)
-
11D72 Equations in many variables (9 articles)
-
11D75 Diophantine inequalities (9 articles)
-
11D79 Congruences in many variables (4 articles)
-
11D85 Representation problems (3 articles)
-
11D88 $p$-adic and power series fields (1 articles)
-
11D99 None of the above, but in this section (4 articles)
-
11Exx Forms and linear algebraic groups (84 articles)
-
11Exx Forms and linear algebraic groups (1 articles)
-
11E04 Quadratic forms over general fields (8 articles)
-
11E08 Quadratic forms over local rings and fields (2 articles)
-
11E10 Forms over real fields (4 articles)
-
11E12 Quadratic forms over global rings and fields (10 articles)
-
11E16 General binary quadratic forms (4 articles)
-
11E20 General ternary and quaternary quadratic forms; forms of more than two variables (2 articles)
-
11E25 Sums of squares and representations by other particular quadratic forms (5 articles)
-
11E39 Bilinear and Hermitian forms (2 articles)
-
11E41 Class numbers of quadratic and Hermitian forms (23 articles)
-
11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (2 articles)
-
11E57 Classical groups (2 articles)
-
11E70 $K$-theory of quadratic and Hermitian forms
-
11E72 Galois cohomology of linear algebraic groups
-
11E76 Forms of degree higher than two (1 articles)
-
11E81 Algebraic theory of quadratic forms; Witt groups and rings (16 articles)
-
11E88 Quadratic spaces; Clifford algebras
-
11E95 $p$-adic theory (2 articles)
-
11E99 None of the above, but in this section
-
11Fxx Discontinuous groups and automorphic forms (44 articles)
-
11Fxx Discontinuous groups and automorphic forms
-
11F03 Modular and automorphic functions (1 articles)
-
11F06 Structure of modular groups and generalizations; arithmetic groups (2 articles)
-
11F11 Modular forms, one variable (5 articles)
-
11F12 Automorphic forms, one variable (2 articles)
-
11F20 Dedekind eta function, Dedekind sums (7 articles)
-
11F22 Relationship to Lie algebras and finite simple groups (1 articles)
-
11F23 Relations with algebraic geometry and topology
-
11F25 Hecke-Petersson operators, differential operators (one variable)
-
11F27 Theta series; Weil representation (3 articles)
-
11F30 Fourier coefficients of automorphic forms (10 articles)
-
11F32 Modular correspondences, etc.
-
11F33 Congruences for modular and $p$-adic modular forms
-
11F37 Forms of half-integer weight; nonholomorphic modular forms (2 articles)
-
11F41 Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (1 articles)
-
11F46 Siegel modular groups and their modular and automorphic forms (1 articles)
-
11F50 Jacobi forms (1 articles)
-
11F52 Modular forms associated to Drinfel'd modules
-
11F55 Other groups and their modular and automorphic forms (several variables)
-
11F60 Hecke-Petersson operators, differential operators (several variables)
-
11F66 Dirichlet series and functional equations in connection with modular forms (4 articles)
-
11F67 Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols (1 articles)
-
11F70 Representation-theoretic methods; automorphic representations over local and global fields
-
11F72 Spectral theory; Selberg trace formula
-
11F75 Cohomology of arithmetic groups
-
11F80 Galois representations (3 articles)
-
11F85 $p$-adic theory, local fields
-
11F99 None of the above, but in this section
-
11Gxx Arithmetic algebraic geometry (Diophantine geometry) (21 articles)
-
11Gxx Arithmetic algebraic geometry (Diophantine geometry)
-
11G05 Elliptic curves over global fields (12 articles)
-
11G07 Elliptic curves over local fields (1 articles)
-
11G09 Drinfeld modules; higher-dimensional motives, etc.
-
11G10 Abelian varieties of dimension $gtr 1$ (1 articles)
-
11G15 Complex multiplication and moduli of abelian varieties
-
11G16 Elliptic and modular units (1 articles)
-
11G18 Arithmetic aspects of modular and Shimura varieties (2 articles)
-
11G20 Curves over finite and local fields (2 articles)
-
11G25 Varieties over finite and local fields
-
11G30 Curves of arbitrary genus or genus $
e 1$ over global fields (1 articles)
-
11G35 Varieties over global fields
-
11G40 $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (1 articles)
-
11G45 Geometric class field theory
-
11G50 Heights
-
11G55 Polylogarithms and relations with $K$-theory
-
11G99 None of the above, but in this section
-
11Hxx Geometry of numbers (20 articles)
-
11Hxx Geometry of numbers
-
11H06 Lattices and convex bodies (10 articles)
-
11H16 Nonconvex bodies (4 articles)
-
11H31 Lattice packing and covering (2 articles)
-
11H46 Products of linear forms
-
11H50 Minima of forms (2 articles)
-
11H55 Quadratic forms (reduction theory, extreme forms, etc.)
-
11H56 Automorphism groups of lattices (1 articles)
-
11H60 Mean value and transfer theorems
-
11H71 Relations with coding theory
-
11H99 None of the above, but in this section (1 articles)
-
11Jxx Diophantine approximation, transcendental number theory (102 articles)
-
11Jxx Diophantine approximation, transcendental number theory (5 articles)
-
11J04 Homogeneous approximation to one number (5 articles)
-
11J06 Markov and Lagrange spectra and generalizations
-
11J13 Simultaneous homogeneous approximation, linear forms (12 articles)
-
11J17 Approximation by numbers from a fixed field (2 articles)
-
11J20 Inhomogeneous linear forms (2 articles)
-
11J25 Diophantine inequalities (3 articles)
-
11J54 Small fractional parts of polynomials and generalizations (1 articles)
-
11J61 Approximation in non-Archimedean valuations (3 articles)
-
11J68 Approximation to algebraic numbers (4 articles)
-
11J70 Continued fractions and generalizations (6 articles)
-
11J71 Distribution modulo one (6 articles)
-
11J72 Irrationality; linear independence over a field (5 articles)
-
11J81 Transcendence (general theory) (13 articles)
-
11J82 Measures of irrationality and of transcendence (3 articles)
-
11J83 Metric theory (5 articles)
-
11J85 Algebraic independence; Gelfond's method (4 articles)
-
11J86 Linear forms in logarithms; Baker's method (15 articles)
-
11J89 Transcendence theory of elliptic and abelian functions (1 articles)
-
11J91 Transcendence theory of other special functions (4 articles)
-
11J93 Transcendence theory of Drinfel'd and $t$-modules
-
11J95 Results involving abelian varieties
-
11J97 Analogues of methods in Nevanlinna theory (work of Vojta et al.)
-
11J99 None of the above, but in this section (3 articles)
-
11Kxx Probabilistic theory: distribution modulo $1$; metric theory of algorithms (80 articles)
-
11Kxx Probabilistic theory: distribution modulo $1$; metric theory of algorithms
-
11K06 General theory of distribution modulo $1$ (18 articles)
-
11K16 Normal numbers, radix expansions, etc. (5 articles)
-
11K31 Special sequences (11 articles)
-
11K36 Well-distributed sequences and other variations (2 articles)
-
11K38 Irregularities of distribution, discrepancy (9 articles)
-
11K41 Continuous, $p$-adic and abstract analogues
-
11K45 Pseudo-random numbers; Monte Carlo methods (7 articles)
-
11K50 Metric theory of continued fractions (1 articles)
-
11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension (15 articles)
-
11K60 Diophantine approximation (1 articles)
-
11K65 Arithmetic functions (6 articles)
-
11K70 Harmonic analysis and almost periodicity (2 articles)
-
11K99 None of the above, but in this section (3 articles)
-
11Lxx Exponential sums and character sums (57 articles)
-
11Lxx Exponential sums and character sums
-
11L03 Trigonometric and exponential sums, general (6 articles)
-
11L05 Gauss and Kloosterman sums; generalizations (24 articles)
-
11L07 Estimates on exponential sums (10 articles)
-
11L10 Jacobsthal and Brewer sums; other complete character sums (2 articles)
-
11L15 Weyl sums (1 articles)
-
11L20 Sums over primes (3 articles)
-
11L26 Sums over arbitrary intervals
-
11L40 Estimates on character sums (11 articles)
-
11L99 None of the above, but in this section
-
11Mxx Zeta and $L$-functions: analytic theory (65 articles)
-
11Mxx Zeta and $L$-functions: analytic theory
-
11M06 $zeta (s)$ and $L(s, chi)$ (27 articles)
-
11M20 Real zeros of $L(s, chi)$; results on $L(1, chi)$ (6 articles)
-
11M26 Nonreal zeros of $zeta (s)$ and $L(s, chi)$; Riemann and other hypotheses (8 articles)
-
11M35 Hurwitz and Lerch zeta functions (6 articles)
-
11M36 Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas (2 articles)
-
11M38 Zeta and $L$-functions in characteristic $p$ (2 articles)
-
11M41 Other Dirichlet series and zeta functions (10 articles)
-
11M45 Tauberian theorems (1 articles)
-
11M99 None of the above, but in this section (3 articles)
-
11Nxx Multiplicative number theory (105 articles)
-
11Nxx Multiplicative number theory
-
11N05 Distribution of primes (19 articles)
-
11N13 Primes in progressions (7 articles)
-
11N25 Distribution of integers with specified multiplicative constraints (9 articles)
-
11N30 Turán theory (1 articles)
-
11N32 Primes represented by polynomials; other multiplicative structure of polynomial values (4 articles)
-
11N35 Sieves (5 articles)
-
11N36 Applications of sieve methods (5 articles)
-
11N37 Asymptotic results on arithmetic functions (29 articles)
-
11N45 Asymptotic results on counting functions for algebraic and topological structures (6 articles)
-
11N56 Rate of growth of arithmetic functions (2 articles)
-
11N60 Distribution functions associated with additive and positive multiplicative functions (3 articles)
-
11N64 Other results on the distribution of values or the characterization of arithmetic functions (4 articles)
-
11N69 Distribution of integers in special residue classes (6 articles)
-
11N75 Applications of automorphic functions and forms to multiplicative problems (1 articles)
-
11N80 Generalized primes and integers (4 articles)
-
11N99 None of the above, but in this section
-
11Pxx Additive number theory; partitions (83 articles)
-
11Pxx Additive number theory; partitions
-
11P05 Waring's problem and variants (5 articles)
-
11P21 Lattice points in specified regions (55 articles)
-
11P32 Goldbach-type theorems; other additive questions involving primes (6 articles)
-
11P55 Applications of the Hardy-Littlewood method (6 articles)
-
11P70 Inverse problems of additive number theory (1 articles)
-
11P81 Elementary theory of partitions (3 articles)
-
11P82 Analytic theory of partitions (3 articles)
-
11P83 Partitions; congruences and congruential restrictions (1 articles)
-
11P99 None of the above, but in this section (3 articles)
-
11Rxx Algebraic number theory: global fields (243 articles)
-
11Rxx Algebraic number theory: global fields (1 articles)
-
11R04 Algebraic numbers; rings of algebraic integers (16 articles)
-
11R06 PV-numbers and generalizations; other special algebraic numbers (5 articles)
-
11R09 Polynomials (irreducibility, etc.) (10 articles)
-
11R11 Quadratic extensions (22 articles)
-
11R16 Cubic and quartic extensions (14 articles)
-
11R18 Cyclotomic extensions (29 articles)
-
11R20 Other abelian and metabelian extensions (18 articles)
-
11R21 Other number fields (8 articles)
-
11R23 Iwasawa theory (7 articles)
-
11R27 Units and factorization (22 articles)
-
11R29 Class numbers, class groups, discriminants (46 articles)
-
11R32 Galois theory (4 articles)
-
11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers (7 articles)
-
11R34 Galois cohomology
-
11R37 Class field theory (12 articles)
-
11R39 Langlands-Weil conjectures, nonabelian class field theory
-
11R42 Zeta functions and $L$-functions of number fields (4 articles)
-
11R44 Distribution of prime ideals (1 articles)
-
11R45 Density theorems
-
11R47 Other analytic theory (3 articles)
-
11R52 Quaternion and other division algebras: arithmetic, zeta functions (6 articles)
-
11R54 Other algebras and orders, and their zeta and $L$-functions (3 articles)
-
11R56 Adèle rings and groups
-
11R58 Arithmetic theory of algebraic function fields (3 articles)
-
11R60 Cyclotomic function fields (class groups, Bernoulli objects, etc.) (1 articles)
-
11R65 Class groups and Picard groups of orders
-
11R70 $K$-theory of global fields (1 articles)
-
11R80 Totally real and totally positive fields
-
11R99 None of the above, but in this section
-
11Sxx Algebraic number theory: local and $p$-adic fields (15 articles)
-
11Sxx Algebraic number theory: local and $p$-adic fields
-
11S05 Polynomials (8 articles)
-
11S15 Ramification and extension theory (1 articles)
-
11S20 Galois theory (1 articles)
-
11S23 Integral representations (1 articles)
-
11S25 Galois cohomology (1 articles)
-
11S31 Class field theory; $p$-adic formal groups
-
11S37 Langlands-Weil conjectures, nonabelian class field theory
-
11S40 Zeta functions and $L$-functions
-
11S45 Algebras and orders, and their zeta functions (1 articles)
-
11S70 $K$-theory of local fields
-
11S80 Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.) (2 articles)
-
11S85 Other nonanalytic theory
-
11S90 Prehomogeneous vector spaces
-
11S99 None of the above, but in this section
-
11Txx Finite fields and commutative rings (number-theoretic aspects) (31 articles)
-
11Txx Finite fields and commutative rings (number-theoretic aspects)
-
11T06 Polynomials (6 articles)
-
11T22 Cyclotomy
-
11T23 Exponential sums (1 articles)
-
11T24 Other character sums and Gauss sums (3 articles)
-
11T30 Structure theory (2 articles)
-
11T55 Arithmetic theory of polynomial rings over finite fields (7 articles)
-
11T60 Finite upper half-planes
-
11T71 Algebraic coding theory; cryptography (7 articles)
-
11T99 None of the above, but in this section (5 articles)
-
11Uxx Connections with logic (9 articles)
-
11Uxx Connections with logic
-
11U05 Decidability (4 articles)
-
11U07 Ultraproducts (1 articles)
-
11U09 Model theory
-
11U10 Nonstandard arithmetic (3 articles)
-
11U99 None of the above, but in this section (1 articles)
-
11Yxx Computational number theory (44 articles)
-
11Yxx Computational number theory
-
11Y05 Factorization (5 articles)
-
11Y11 Primality (1 articles)
-
11Y16 Algorithms; complexity (4 articles)
-
11Y35 Analytic computations (3 articles)
-
11Y40 Algebraic number theory computations (11 articles)
-
11Y50 Computer solution of Diophantine equations (10 articles)
-
11Y55 Calculation of integer sequences (1 articles)
-
11Y60 Evaluation of constants (4 articles)
-
11Y65 Continued fraction calculations (2 articles)
-
11Y70 Values of arithmetic functions; tables
-
11Y99 None of the above, but in this section (3 articles)
-
11Z05 Miscellaneous applications of number theory (3 articles)
-
12 Field theory and polynomials (119 articles)
-
12 Field theory and polynomials
-
12-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
12-01 Instructional exposition (textbooks, tutorial papers, etc.) (1 articles)
-
12-02 Research exposition (monographs, survey articles) (1 articles)
-
12-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
12-04 Explicit machine computation and programs (not the theory of computation or programming)
-
12-06 Proceedings, conferences, collections, etc.
-
12.00 (1959-1972) General
-
12.10 (1959-1972) Division rings
-
12.20 (1959-1972) Finite fields
-
12.25 (1959-1972) Polynomials over finite fields (4 articles)
-
12.30 (1959-1972) Polynomials (1 articles)
-
12.40 (1959-1972) Galois theory
-
12.45 (1959-1972) Algebraic extension fields
-
12.50 (1959-1972) Algebraic number fields
-
12.70 (1959-1972) Valuations, topological fields, ordered fields
-
12.75 (1959-1972) Transcendental extension fields
-
12.78 (1959-1972) Algebraic function fields
-
12.80 (1959-1972) Differential and difference algebra; Galois theory
-
12.99 (1959-1972) None of the above, but in this section
-
12Dxx Real and complex fields (26 articles)
-
12Dxx Real and complex fields
-
12D05 Polynomials: factorization (4 articles)
-
12D10 Polynomials: location of zeros (algebraic theorems) (14 articles)
-
12D15 Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (4 articles)
-
12D99 None of the above, but in this section (4 articles)
-
12Exx General field theory (28 articles)
-
12Exx General field theory
-
12E05 Polynomials (irreducibility, etc.) (6 articles)
-
12E10 Special polynomials (1 articles)
-
12E12 Equations (12 articles)
-
12E15 Skew fields, division rings (3 articles)
-
12E20 Finite fields (field-theoretic aspects) (3 articles)
-
12E25 Hilbertian fields; Hilbert's irreducibility theorem
-
12E30 Field arithmetic (1 articles)
-
12E99 None of the above, but in this section (2 articles)
-
12Fxx Field extensions (10 articles)
-
12Fxx Field extensions
-
12F05 Algebraic extensions (4 articles)
-
12F10 Separable extensions, Galois theory (2 articles)
-
12F12 Inverse Galois theory
-
12F15 Inseparable extensions (1 articles)
-
12F20 Transcendental extensions (2 articles)
-
12F99 None of the above, but in this section (1 articles)
-
12Gxx Homological methods (field theory)
-
12Gxx Homological methods (field theory)
-
12G05 Galois cohomology
-
12G10 Cohomological dimension
-
12G99 None of the above, but in this section
-
12Hxx Differential and difference algebra (10 articles)
-
12Hxx Differential and difference algebra
-
12H05 Differential algebra (8 articles)
-
12H10 Difference algebra (1 articles)
-
12H20 Abstract differential equations
-
12H25 $p$-adic differential equations
-
12H99 None of the above, but in this section (1 articles)
-
12Jxx Topological fields (17 articles)
-
12Jxx Topological fields
-
12J05 Normed fields
-
12J10 Valued fields (2 articles)
-
12J12 Formally $p$-adic fields
-
12J15 Ordered fields (8 articles)
-
12J17 Topological semifields
-
12J20 General valuation theory (3 articles)
-
12J25 Non-Archimedean valued fields (2 articles)
-
12J27 Krasner-Tate algebras
-
12J99 None of the above, but in this section (2 articles)
-
12Kxx Generalizations of fields (13 articles)
-
12Kxx Generalizations of fields
-
12K05 Near-fields (6 articles)
-
12K10 Semifields (5 articles)
-
12K99 None of the above, but in this section (2 articles)
-
12Lxx Connections with logic (2 articles)
-
12Lxx Connections with logic
-
12L05 Decidability
-
12L10 Ultraproducts
-
12L12 Model theory
-
12L15 Nonstandard arithmetic (1 articles)
-
12L99 None of the above, but in this section (1 articles)
-
12Y05 Computational aspects of field theory and polynomials (4 articles)
-
13 Commutative rings and algebras (561 articles)
-
13 Commutative rings and algebras
-
13-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
13-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
13-02 Research exposition (monographs, survey articles)
-
13-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
13-04 Explicit machine computation and programs (not the theory of computation or programming)
-
13-06 Proceedings, conferences, collections, etc.
-
13.00 (1959-1972) General (3 articles)
-
13.10 (1959-1972) General theory
-
13.15 (1959-1972) Integral domains, unique factorization domains
-
13.20 (1959-1972) Ideal theory (1 articles)
-
13.25 (1959-1972) Chain conditions; Artinian rings, Noetherian rings
-
13.30 (1959-1972) Radical theory
-
13.40 (1959-1972) Modules, representation
-
13.50 (1959-1972) Structure, classification
-
13.60 (1959-1972) Automorphisms, derivations
-
13.70 (1959-1972) Galois theory
-
13.80 (1959-1972) Extension theory
-
13.90 (1959-1972) Homological methods
-
13.93 (1959-1972) Rings of polynomials, formal power series
-
13.95 (1959-1972) Local rings
-
13.98 (1959-1972) Valuations
-
13.99 (1959-1972) None of the above, but in this section
-
13Axx General commutative ring theory (110 articles)
-
13Axx General commutative ring theory (1 articles)
-
13A02 Graded rings (3 articles)
-
13A05 Divisibility (11 articles)
-
13A10 Radical theory (5 articles)
-
13A15 Ideals; multiplicative ideal theory (52 articles)
-
13A18 Valuations and their generalizations (12 articles)
-
13A30 Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (6 articles)
-
13A35 Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure (2 articles)
-
13A50 Actions of groups on commutative rings; invariant theory (6 articles)
-
13A99 None of the above, but in this section (12 articles)
-
13Bxx Ring extensions and related topics (54 articles)
-
13Bxx Ring extensions and related topics
-
13B02 Extension theory (10 articles)
-
13B05 Galois theory (2 articles)
-
13B10 Morphisms (6 articles)
-
13B21 Integral dependence
-
13B22 Integral closure of rings and ideals (8 articles)
-
13B24 Going up; going down; going between
-
13B25 Polynomials over commutative rings (15 articles)
-
13B30 Quotients and localization (8 articles)
-
13B35 Completion (2 articles)
-
13B40 Étale and flat extensions; Henselization; Artin approximation (1 articles)
-
13B99 None of the above, but in this section (2 articles)
-
13Cxx Theory of modules and ideals (113 articles)
-
13Cxx Theory of modules and ideals
-
13C05 Structure, classification theorems (25 articles)
-
13C10 Projective and free modules and ideals (16 articles)
-
13C11 Injective and flat modules and ideals (13 articles)
-
13C12 Torsion modules and ideals (3 articles)
-
13C13 Other special types (22 articles)
-
13C14 Cohen-Macaulay modules (8 articles)
-
13C15 Dimension theory, depth, related rings (catenary, etc.) (13 articles)
-
13C20 Class groups
-
13C40 Linkage, complete intersections and determinantal ideals
-
13C99 None of the above, but in this section (13 articles)
-
13Dxx Homological methods (79 articles)
-
13Dxx Homological methods
-
13D02 Syzygies and resolutions (18 articles)
-
13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (1 articles)
-
13D05 Homological dimension (15 articles)
-
13D07 Homological functors on modules (Tor, Ext, etc.) (9 articles)
-
13D10 Deformations and infinitesimal methods (1 articles)
-
13D15 Grothendieck groups, $K$-theory (1 articles)
-
13D22 Homological conjectures (intersection theorems)
-
13D25 Complexes (1 articles)
-
13D30 Torsion theory (3 articles)
-
13D40 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (2 articles)
-
13D45 Local cohomology (27 articles)
-
13D99 None of the above, but in this section (1 articles)
-
13Exx Chain conditions, finiteness conditions (40 articles)
-
13Exx Chain conditions, finiteness conditions
-
13E05 Noetherian rings and modules (21 articles)
-
13E10 Artinian rings and modules, finite-dimensional algebras (8 articles)
-
13E15 Rings and modules of finite generation or presentation; number of generators (4 articles)
-
13E99 None of the above, but in this section (7 articles)
-
13Fxx Arithmetic rings and other special rings (83 articles)
-
13Fxx Arithmetic rings and other special rings (1 articles)
-
13F05 Dedekind, Prüfer and Krull rings and their generalizations (26 articles)
-
13F07 Euclidean rings and generalizations
-
13F10 Principal ideal rings (3 articles)
-
13F15 Factorial rings, unique factorization domains (3 articles)
-
13F20 Polynomial rings and ideals; rings of integer-valued polynomials (22 articles)
-
13F25 Formal power series rings (8 articles)
-
13F30 Valuation rings (13 articles)
-
13F40 Excellent rings
-
13F45 Seminormal rings
-
13F50 Rings with straightening laws, Hodge algebras (1 articles)
-
13F55 Face and Stanley-Reisner rings; simplicial complexes (4 articles)
-
13F99 None of the above, but in this section (2 articles)
-
13G05 Integral domains (12 articles)
-
13Hxx Local rings and semilocal rings (22 articles)
-
13Hxx Local rings and semilocal rings
-
13H05 Regular local rings (2 articles)
-
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (12 articles)
-
13H15 Multiplicity theory and related topics (5 articles)
-
13H99 None of the above, but in this section (3 articles)
-
13Jxx Topological rings and modules (13 articles)
-
13Jxx Topological rings and modules
-
13J05 Power series rings (2 articles)
-
13J07 Analytical algebras and rings
-
13J10 Complete rings, completion (5 articles)
-
13J15 Henselian rings
-
13J20 Global topological rings
-
13J25 Ordered rings (4 articles)
-
13J30 Real algebra
-
13J99 None of the above, but in this section (2 articles)
-
13K05 Witt vectors and related rings
-
13L05 Applications of logic to commutative algebra (1 articles)
-
13Mxx Finite commutative rings (7 articles)
-
13Nxx Differential algebra (12 articles)
-
13Nxx Differential algebra
-
13N05 Modules of differentials (3 articles)
-
13N10 Rings of differential operators and their modules (1 articles)
-
13N15 Derivations (8 articles)
-
13N99 None of the above, but in this section
-
13Pxx Computational aspects of commutative algebra (9 articles)
-
13Pxx Computational aspects of commutative algebra
-
13P05 Polynomials, factorization (2 articles)
-
13P10 Polynomial ideals, Gröbner bases (7 articles)
-
13P99 None of the above, but in this section
-
14 Algebraic geometry (205 articles)
-
14 Algebraic geometry
-
14-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (2 articles)
-
14-01 Instructional exposition (textbooks, tutorial papers, etc.) (3 articles)
-
14-02 Research exposition (monographs, survey articles)
-
14-03 Historical (must also be assigned at least one classification number from Section 01) (3 articles)
-
14-04 Explicit machine computation and programs (not the theory of computation or programming)
-
14-06 Proceedings, conferences, collections, etc.
-
14.0 (1940-1958) Algebraic geometry
-
14.00 (1959-1972) General (1 articles)
-
14.01 (1959-1972) Algebraic varieties in real and complex spaces, classical algebraic geometry
-
14.05 (1959-1972) Algebraic geometry over abstract fields and rings, general
-
14.08 (1959-1972) Foundational questions
-
14.10 (1959-1972) Theories of equivalence
-
14.15 (1959-1972) Transformations and correspondences
-
14.18 (1959-1972) Singularities
-
14.20 (1959-1972) Algebraic curves, surfaces and special varieties (1 articles)
-
14.35 (1959-1972) Algebraic function fields
-
14.40 (1959-1972) Arithmetic properties of varieties
-
14.45 (1959-1972) Rationality questions
-
14.47 (1959-1972) Weil conjectures, Riemann hypotheses
-
14.48 (1959-1972) Zeta functions for varieties (including $mod p$ questions)
-
14.49 (1959-1972) Geometric analogues of arithmetic questions
-
14.50 (1959-1972) Group varieties (algebraic groups), abstract analytic groups
-
14.51 (1959-1972) Abelian varieties
-
14.52 (1959-1972) Abstract derivations and differentials
-
14.55 (1959-1972) Sheaf-theoretic and homological methods
-
14.99 (1959-1972) None of the above, but in this section
-
14Axx Foundations (7 articles)
-
14Axx Foundations
-
14A05 Relevant commutative algebra
-
14A10 Varieties and morphisms (2 articles)
-
14A15 Schemes and morphisms (2 articles)
-
14A20 Generalizations (algebraic spaces, stacks)
-
14A22 Noncommutative algebraic geometry
-
14A25 Elementary questions (2 articles)
-
14A99 None of the above, but in this section (1 articles)
-
14Bxx Local theory (7 articles)
-
14Bxx Local theory
-
14B05 Singularities (3 articles)
-
14B07 Deformations of singularities
-
14B10 Infinitesimal methods
-
14B12 Local deformation theory, Artin approximation, etc.
-
14B15 Local cohomology (4 articles)
-
14B20 Formal neighborhoods
-
14B25 Local structure of morphisms: étale, flat, etc.
-
14B99 None of the above, but in this section
-
14Cxx Cycles and subschemes (7 articles)
-
14Cxx Cycles and subschemes
-
14C05 Parametrization (Chow and Hilbert schemes)
-
14C15 Chow groups and rings (1 articles)
-
14C17 Intersection theory, characteristic classes, intersection multiplicities
-
14C20 Divisors, linear systems, invertible sheaves (3 articles)
-
14C21 Pencils, nets, webs
-
14C22 Picard groups
-
14C25 Algebraic cycles
-
14C30 Transcendental methods, Hodge theory
-
14C34 Torelli problem
-
14C35 Applications of methods of algebraic $K$-theory (1 articles)
-
14C40 Riemann-Roch theorems (2 articles)
-
14C99 None of the above, but in this section
-
14Dxx Families, fibrations (3 articles)
-
14Dxx Families, fibrations
-
14D05 Structure of families (Picard-Lefschetz, monodromy, etc.)
-
14D06 Fibrations, degenerations (1 articles)
-
14D07 Variation of Hodge structures
-
14D10 Arithmetic ground fields (finite, local, global)
-
14D15 Formal methods; deformations (1 articles)
-
14D20 Algebraic moduli problems, moduli of vector bundles
-
14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (1 articles)
-
14D22 Fine and coarse moduli spaces
-
14D99 None of the above, but in this section
-
14Exx Birational geometry (10 articles)
-
14Exx Birational geometry
-
14E05 Rational and birational maps (6 articles)
-
14E07 Birational automorphisms, Cremona group and generalizations (1 articles)
-
14E08 Rationality questions
-
14E15 Global theory and resolution of singularities
-
14E20 Coverings (1 articles)
-
14E22 Ramification problems (1 articles)
-
14E25 Embeddings
-
14E30 Minimal model program (Mori theory, extremal rays)
-
14E99 None of the above, but in this section (1 articles)
-
14Fxx (Co)homology theory (10 articles)
-
14Fxx (Co)homology theory
-
14F05 Vector bundles, sheaves, related constructions (4 articles)
-
14F10 Differentials and other special sheaves (2 articles)
-
14F17 Vanishing theorems (1 articles)
-
14F20 Étale and other Grothendieck topologies and cohomologies
-
14F22 Brauer groups of schemes
-
14F25 Classical real and complex cohomology
-
14F30 $p$-adic cohomology, crystalline cohomology
-
14F35 Homotopy theory; fundamental groups (2 articles)
-
14F40 de Rham cohomology (1 articles)
-
14F42 Motivic cohomology
-
14F43 Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
-
14F45 Topological properties
-
14F99 None of the above, but in this section
-
14Gxx Arithmetic problems. Diophantine geometry (9 articles)
-
14Gxx Arithmetic problems. Diophantine geometry
-
14G05 Rational points (3 articles)
-
14G10 Zeta-functions and related questions
-
14G15 Finite ground fields
-
14G20 Local ground fields (1 articles)
-
14G22 Rigid analytic geometry (1 articles)
-
14G25 Global ground fields
-
14G27 Other nonalgebraically closed ground fields
-
14G32 Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
-
14G35 Modular and Shimura varieties (1 articles)
-
14G40 Arithmetic varieties and schemes; Arakelov theory; heights
-
14G50 Applications to coding theory and cryptography (2 articles)
-
14G99 None of the above, but in this section (1 articles)
-
14Hxx Curves (51 articles)
-
14Hxx Curves (2 articles)
-
14H05 Algebraic functions; function fields (2 articles)
-
14H10 Families, moduli (algebraic) (1 articles)
-
14H15 Families, moduli (analytic)
-
14H20 Singularities, local rings (5 articles)
-
14H25 Arithmetic ground fields (2 articles)
-
14H30 Coverings, fundamental group (1 articles)
-
14H37 Automorphisms
-
14H40 Jacobians, Prym varieties (1 articles)
-
14H42 Theta functions; Schottky problem
-
14H45 Special curves and curves of low genus (11 articles)
-
14H50 Plane and space curves (15 articles)
-
14H51 Special divisors (gonality, Brill-Noether theory) (1 articles)
-
14H52 Elliptic curves (7 articles)
-
14H55 Riemann surfaces; Weierstrass points; gap sequences (1 articles)
-
14H60 Vector bundles on curves and their moduli
-
14H70 Relationships with integrable systems (1 articles)
-
14H81 Relationships with physics
-
14H99 None of the above, but in this section (1 articles)
-
14Jxx Surfaces and higher-dimensional varieties (20 articles)
-
14Jxx Surfaces and higher-dimensional varieties (1 articles)
-
14J10 Families, moduli, classification: algebraic theory
-
14J15 Moduli, classification: analytic theory; relations with modular forms
-
14J17 Singularities (1 articles)
-
14J20 Arithmetic ground fields (1 articles)
-
14J25 Special surfaces (9 articles)
-
14J26 Rational and ruled surfaces (4 articles)
-
14J27 Elliptic surfaces
-
14J28 $K3$ surfaces and Enriques surfaces
-
14J29 Surfaces of general type
-
14J30 $3$-folds
-
14J32 Calabi-Yau manifolds, mirror symmetry
-
14J35 $4$-folds
-
14J40 $n$-folds ($n>4$)
-
14J45 Fano varieties (1 articles)
-
14J50 Automorphisms of surfaces and higher-dimensional varieties
-
14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli (2 articles)
-
14J70 Hypersurfaces (1 articles)
-
14J80 Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
-
14J81 Relationships with physics
-
14J99 None of the above, but in this section
-
14Kxx Abelian varieties and schemes (1 articles)
-
14Kxx Abelian varieties and schemes
-
14K02 Isogeny
-
14K05 Algebraic theory
-
14K10 Algebraic moduli, classification
-
14K12 Subvarieties
-
14K15 Arithmetic ground fields
-
14K20 Analytic theory; abelian integrals and differentials
-
14K22 Complex multiplication
-
14K25 Theta functions (1 articles)
-
14K30 Picard schemes, higher Jacobians
-
14K99 None of the above, but in this section
-
14Lxx Algebraic groups (11 articles)
-
14Lxx Algebraic groups (1 articles)
-
14L05 Formal groups, $p$-divisible groups
-
14L10 Group varieties
-
14L15 Group schemes (2 articles)
-
14L17 Affine algebraic groups, hyperalgebra constructions
-
14L24 Geometric invariant theory (5 articles)
-
14L30 Group actions on varieties or schemes (quotients) (3 articles)
-
14L35 Classical groups (geometric aspects)
-
14L40 Other algebraic groups (geometric aspects)
-
14L99 None of the above, but in this section
-
14Mxx Special varieties (20 articles)
-
14Mxx Special varieties
-
14M05 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (3 articles)
-
14M06 Linkage
-
14M07 Low codimension problems
-
14M10 Complete intersections (4 articles)
-
14M12 Determinantal varieties (1 articles)
-
14M15 Grassmannians, Schubert varieties, flag manifolds (8 articles)
-
14M17 Homogeneous spaces and generalizations (3 articles)
-
14M20 Rational and unirational varieties
-
14M25 Toric varieties, Newton polyhedra
-
14M30 Supervarieties (1 articles)
-
14M99 None of the above, but in this section
-
14Nxx Projective and enumerative geometry (21 articles)
-
14Nxx Projective and enumerative geometry
-
14N05 Projective techniques (13 articles)
-
14N10 Enumerative problems (combinatorial problems) (2 articles)
-
14N15 Classical problems, Schubert calculus
-
14N20 Configurations of linear subspaces (1 articles)
-
14N25 Varieties of low degree (3 articles)
-
14N30 Adjunction problems
-
14N35 Gromov-Witten invariants, quantum cohomology
-
14N99 None of the above, but in this section (2 articles)
-
14Pxx Real algebraic and real analytic geometry (9 articles)
-
14Pxx Real algebraic and real analytic geometry (1 articles)
-
14P05 Real algebraic sets (4 articles)
-
14P10 Semialgebraic sets and related spaces (1 articles)
-
14P15 Real analytic and semianalytic sets
-
14P20 Nash functions and manifolds
-
14P25 Topology of real algebraic varieties
-
14P99 None of the above, but in this section (3 articles)
-
14Qxx Computational aspects in algebraic geometry (5 articles)
-
14Qxx Computational aspects in algebraic geometry
-
14Q05 Curves (3 articles)
-
14Q10 Surfaces, hypersurfaces
-
14Q15 Higher-dimensional varieties (1 articles)
-
14Q20 Effectivity (1 articles)
-
14Q99 None of the above, but in this section
-
14Rxx Affine geometry (4 articles)
-
14Rxx Affine geometry
-
14R05 Classification of affine varieties (1 articles)
-
14R10 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (2 articles)
-
14R15 Jacobian problem (1 articles)
-
14R20 Group actions on affine varieties
-
14R25 Affine fibrations
-
14R99 None of the above, but in this section
-
15 Linear and multilinear algebra; matrix theory (731 articles)
-
15 Linear and multilinear algebra; matrix theory
-
15-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
15-01 Instructional exposition (textbooks, tutorial papers, etc.) (4 articles)
-
15-02 Research exposition (monographs, survey articles)
-
15-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
15-04 Explicit machine computation and programs (not the theory of computation or programming)
-
15-06 Proceedings, conferences, collections, etc.
-
15.0 (1940-1958) Linear algebra, polynomials, invariants
-
15.00 (1959-1972) General (7 articles)
-
15.05 (1959-1972) Vector spaces, linear dependence, rank
-
15.10 (1959-1972) Linear equations
-
15.15 (1959-1972) Matrix inversion, generalized inverses (1 articles)
-
15.20 (1959-1972) Determinants, permanents, other special matrix functions (1 articles)
-
15.25 (1959-1972) Eigenvalues and eigenvectors (2 articles)
-
15.30 (1959-1972) Canonical forms, reductions, classification (1 articles)
-
15.35 (1959-1972) Matrix equations and identities
-
15.38 (1959-1972) Commutativity
-
15.40 (1959-1972) Algebraic systems of matrices (2 articles)
-
15.45 (1959-1972) Matrices over special rings (quaternions, finite fields, etc.)
-
15.48 (1959-1972) Matrices of integers
-
15.50 (1959-1972) Linear inequalities
-
15.55 (1959-1972) Inequalities involving eigenvalues and eigenvectors (1 articles)
-
15.58 (1959-1972) Miscellaneous inequalities involving matrices (2 articles)
-
15.60 (1959-1972) Positive matrices (6 articles)
-
15.65 (1959-1972) Stochastic matrices (2 articles)
-
15.70 (1959-1972) Quadratic and bilinear forms, inner products
-
15.75 (1959-1972) Clifford algebras
-
15.80 (1959-1972) Multilinear algebra, tensor products
-
15.85 (1959-1972) Vector and tensor algebra, theory of invariants
-
15.90 (1959-1972) Exterior algebra, Grassmann algebras (1 articles)
-
15.99 (1959-1972) None of the above, but in this section
-
15A03 Vector spaces, linear dependence, rank (41 articles)
-
15A04 Linear transformations, semilinear transformations (36 articles)
-
15A06 Linear equations (32 articles)
-
15A09 Matrix inversion, generalized inverses (49 articles)
-
15A12 Conditioning of matrices (6 articles)
-
15A15 Determinants, permanents, other special matrix functions (53 articles)
-
15A18 Eigenvalues, singular values, and eigenvectors (92 articles)
-
15A21 Canonical forms, reductions, classification (23 articles)
-
15A22 Matrix pencils (6 articles)
-
15A23 Factorization of matrices (22 articles)
-
15A24 Matrix equations and identities (35 articles)
-
15A27 Commutativity (7 articles)
-
15A29 Inverse problems (3 articles)
-
15A30 Algebraic systems of matrices (10 articles)
-
15A33 Matrices over special rings (quaternions, finite fields, etc.) (22 articles)
-
15A36 Matrices of integers (10 articles)
-
15A39 Linear inequalities (9 articles)
-
15A42 Inequalities involving eigenvalues and eigenvectors (31 articles)
-
15A45 Miscellaneous inequalities involving matrices (17 articles)
-
15A48 Positive matrices and their generalizations; cones of matrices (33 articles)
-
15A51 Stochastic matrices (19 articles)
-
15A52 Random matrices (2 articles)
-
15A54 Matrices over function rings in one or more variables (6 articles)
-
15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.) (21 articles)
-
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory (30 articles)
-
15A63 Quadratic and bilinear forms, inner products (16 articles)
-
15A66 Clifford algebras, spinors (21 articles)
-
15A69 Multilinear algebra, tensor products (15 articles)
-
15A72 Vector and tensor algebra, theory of invariants (6 articles)
-
15A75 Exterior algebra, Grassmann algebras (6 articles)
-
15A78 Other algebras built from modules (4 articles)
-
15A90 Applications of matrix theory to physics (4 articles)
-
15A99 Miscellaneous topics (11 articles)
-
16 Associative rings and algebras (1034 articles)
-
16 Associative rings and algebras
-
16-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
16-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
16-02 Research exposition (monographs, survey articles) (2 articles)
-
16-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
16-04 Explicit machine computation and programs (not the theory of computation or programming)
-
16-06 Proceedings, conferences, collections, etc.
-
16.00 (1959-1972) General (2 articles)
-
16.10 (1959-1972) General theory
-
16.15 (1959-1972) Integral domains, unique factorization domains (noncommutative)
-
16.20 (1959-1972) Ideal theory (1 articles)
-
16.25 (1959-1972) Chain conditions; Artinian rings, Noetherian rings (1 articles)
-
16.30 (1959-1972) Radical theory
-
16.32 (1959-1972) Nil, nilpotent, radical rings
-
16.40 (1959-1972) Modules, representation (2 articles)
-
16.42 (1959-1972) Primitive rings
-
16.44 (1959-1972) Semisimple rings
-
16.46 (1959-1972) Simple rings, division rings
-
16.48 (1959-1972) Matrix rings
-
16.49 (1959-1972) Rings with polynomial identity
-
16.50 (1959-1972) Structure, classification
-
16.53 (1959-1972) Prime rings
-
16.55 (1959-1972) Rings with annihilator conditions
-
16.56 (1959-1972) Regular rings
-
16.58 (1959-1972) Rings with involution
-
16.60 (1959-1972) Automorphisms, derivations
-
16.70 (1959-1972) Galois theory
-
16.80 (1959-1972) Extension theory
-
16.90 (1959-1972) Homological methods (1 articles)
-
16.94 (1959-1972) Finite rings
-
16.96 (1959-1972) Semirings, other generalizations of rings
-
16.98 (1959-1972) Topological rings
-
16.99 (1959-1972) None of the above, but in this section
-
16Bxx General and miscellaneous (7 articles)
-
16Bxx General and miscellaneous
-
16B50 Category-theoretic methods and results (except as in 16D90) (5 articles)
-
16B70 Applications of logic (1 articles)
-
16B99 None of the above, but in this section (1 articles)
-
16Dxx Modules, bimodules and ideals (263 articles)
-
16Dxx Modules, bimodules and ideals (6 articles)
-
16D10 General module theory (25 articles)
-
16D20 Bimodules (3 articles)
-
16D25 Ideals (12 articles)
-
16D30 Infinite-dimensional simple rings (except as in 16Kxx) (4 articles)
-
16D40 Free, projective, and flat modules and ideals (43 articles)
-
16D50 Injective modules, self-injective rings (51 articles)
-
16D60 Simple and semisimple modules, primitive rings and ideals (9 articles)
-
16D70 Structure and classification (except as in 16Gxx), direct sum decomposition, cancellation (46 articles)
-
16D80 Other classes of modules and ideals (33 articles)
-
16D90 Module categories (25 articles)
-
16D99 None of the above, but in this section (6 articles)
-
16Exx Homological methods (114 articles)
-
16Exx Homological methods (9 articles)
-
16E05 Syzygies, resolutions, complexes (6 articles)
-
16E10 Homological dimension (16 articles)
-
16E20 Grothendieck groups, $K$-theory, etc. (7 articles)
-
16E30 Homological functors on modules (Tor, Ext, etc.) (18 articles)
-
16E40 (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) (10 articles)
-
16E45 Differential graded algebras and applications (5 articles)
-
16E50 von Neumann regular rings and generalizations (37 articles)
-
16E60 Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (2 articles)
-
16E65 Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (3 articles)
-
16E99 None of the above, but in this section (1 articles)
-
16Gxx Representation theory of rings and algebras (42 articles)
-
16Gxx Representation theory of rings and algebras (10 articles)
-
16G10 Representations of Artinian rings (9 articles)
-
16G20 Representations of quivers and partially ordered sets (10 articles)
-
16G30 Representations of orders, lattices, algebras over commutative rings (1 articles)
-
16G50 Cohen-Macaulay modules
-
16G60 Representation type (finite, tame, wild, etc.) (2 articles)
-
16G70 Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (7 articles)
-
16G99 None of the above, but in this section (3 articles)
-
16H05 Orders and arithmetic, separable algebras, Azumaya algebras (2 articles)
-
16Kxx Division rings and semisimple Artin rings (12 articles)
-
16Lxx Local rings and generalizations (17 articles)
-
16Lxx Local rings and generalizations
-
16L30 Noncommutative local and semilocal rings, perfect rings (7 articles)
-
16L60 Quasi-Frobenius rings (9 articles)
-
16L99 None of the above, but in this section (1 articles)
-
16Nxx Radicals and radical properties of rings (67 articles)
-
16Nxx Radicals and radical properties of rings (13 articles)
-
16N20 Jacobson radical, quasimultiplication (6 articles)
-
16N40 Nil and nilpotent radicals, sets, ideals, rings (12 articles)
-
16N60 Prime and semiprime rings (30 articles)
-
16N80 General radicals and rings (6 articles)
-
16N99 None of the above, but in this section
-
16Pxx Chain conditions, growth conditions, and other forms of finiteness (30 articles)
-
16Pxx Chain conditions, growth conditions, and other forms of finiteness
-
16P10 Finite rings and finite-dimensional algebras (5 articles)
-
16P20 Artinian rings and modules (4 articles)
-
16P40 Noetherian rings and modules (7 articles)
-
16P50 Localization and Noetherian rings
-
16P60 Chain conditions on annihilators and summands: Goldie-type conditions (3 articles)
-
16P70 Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (10 articles)
-
16P90 Growth rate, Gelfand-Kirillov dimension (1 articles)
-
16P99 None of the above, but in this section
-
16Rxx Rings with polynomial identity (25 articles)
-
16Rxx Rings with polynomial identity (5 articles)
-
16R10 $T$-ideals, identities, varieties of rings and algebras (6 articles)
-
16R20 Semiprime p.i. rings, rings embeddable in matrices over commutative rings
-
16R30 Trace rings and invariant theory (1 articles)
-
16R40 Identities other than those of matrices over commutative rings (2 articles)
-
16R50 Other kinds of identities (generalized polynomial, rational, involution) (11 articles)
-
16R99 None of the above, but in this section
-
16Sxx Rings and algebras arising under various constructions (149 articles)
-
16Sxx Rings and algebras arising under various constructions
-
16S10 Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (6 articles)
-
16S15 Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (4 articles)
-
16S20 Centralizing and normalizing extensions (2 articles)
-
16S30 Universal enveloping algebras of Lie algebras (2 articles)
-
16S32 Rings of differential operators (2 articles)
-
16S34 Group rings (38 articles)
-
16S35 Twisted and skew group rings, crossed products (3 articles)
-
16S36 Ordinary and skew polynomial rings and semigroup rings (13 articles)
-
16S37 Quadratic and Koszul algebras (1 articles)
-
16S38 Rings arising from non-commutative algebraic geometry
-
16S40 Smash products of general Hopf actions (5 articles)
-
16S50 Endomorphism rings; matrix rings (28 articles)
-
16S60 Rings of functions, subdirect products, sheaves of rings (4 articles)
-
16S70 Extensions of rings by ideals (1 articles)
-
16S80 Deformations of rings (7 articles)
-
16S90 Maximal ring of quotients, torsion theories, radicals on module categories (25 articles)
-
16S99 None of the above, but in this section (8 articles)
-
16Uxx Conditions on elements (91 articles)
-
16Uxx Conditions on elements
-
16U10 Integral domains (2 articles)
-
16U20 Ore rings, multiplicative sets, Ore localization (4 articles)
-
16U30 Divisibility, noncommutative UFDs (2 articles)
-
16U60 Units, groups of units (28 articles)
-
16U70 Center, normalizer (invariant elements) (20 articles)
-
16U80 Generalizations of commutativity (18 articles)
-
16U99 None of the above, but in this section (17 articles)
-
16Wxx Rings and algebras with additional structure (135 articles)
-
16Wxx Rings and algebras with additional structure
-
16W10 Rings with involution; Lie, Jordan and other nonassociative structures (25 articles)
-
16W20 Automorphisms and endomorphisms (17 articles)
-
16W22 Actions of groups and semigroups; invariant theory (2 articles)
-
16W25 Derivations, actions of Lie algebras (31 articles)
-
16W30 Coalgebras, bialgebras, Hopf algebras (17 articles)
-
16W35 Ring-theoretic aspects of quantum groups (2 articles)
-
16W50 Graded rings and modules (14 articles)
-
16W55 ``Super'' (or ``skew'') structure (2 articles)
-
16W60 Valuations, completions, formal power series and related constructions (6 articles)
-
16W70 Filtered rings; filtrational and graded techniques (3 articles)
-
16W80 Topological and ordered rings and modules (11 articles)
-
16W99 None of the above, but in this section (5 articles)
-
16Yxx Generalizations (65 articles)
-
16Z05 Computational aspects of associative rings (4 articles)
-
17 Nonassociative rings and algebras (410 articles)
-
17 Nonassociative rings and algebras
-
17-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
17-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
17-02 Research exposition (monographs, survey articles)
-
17-03 Historical (must also be assigned at least one classification number from Section 01) (3 articles)
-
17-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
17-06 Proceedings, conferences, collections, etc.
-
17-08 Computational methods (2 articles)
-
17.0 (1940-1958) Lie groups and algebras
-
17.00 (1959-1972) General (1 articles)
-
17.10 (1959-1972) General theory
-
17.20 (1959-1972) Power associative
-
17.30 (1959-1972) Lie
-
17.40 (1959-1972) Jordan
-
17.50 (1959-1972) Alternative (1 articles)
-
17.60 (1959-1972) Other
-
17.99 (1959-1972) None of the above, but in this section
-
17Axx General nonassociative rings (97 articles)
-
17Axx General nonassociative rings
-
17A01 General theory (6 articles)
-
17A05 Power-associative rings
-
17A15 Noncommutative Jordan algebras (3 articles)
-
17A20 Flexible algebras
-
17A30 Algebras satisfying other identities (23 articles)
-
17A32 Leibniz algebras (7 articles)
-
17A35 Division algebras (7 articles)
-
17A36 Automorphisms, derivations, other operators (7 articles)
-
17A40 Ternary compositions (8 articles)
-
17A42 Other $n$-ary compositions $(n ge 3)$ (5 articles)
-
17A45 Quadratic algebras (but not quadratic Jordan algebras) (3 articles)
-
17A50 Free algebras (2 articles)
-
17A60 Structure theory (6 articles)
-
17A65 Radical theory (1 articles)
-
17A70 Superalgebras (9 articles)
-
17A75 Composition algebras (3 articles)
-
17A80 Valued algebras
-
17A99 None of the above, but in this section (7 articles)
-
17Bxx Lie algebras and Lie superalgebras (268 articles)
-
17Bxx Lie algebras and Lie superalgebras (1 articles)
-
17B01 Identities, free Lie (super)algebras (3 articles)
-
17B05 Structure theory (15 articles)
-
17B10 Representations, algebraic theory (weights) (23 articles)
-
17B15 Representations, analytic theory
-
17B20 Simple, semisimple, reductive (super)algebras (roots) (16 articles)
-
17B25 Exceptional (super)algebras (4 articles)
-
17B30 Solvable, nilpotent (super)algebras (18 articles)
-
17B35 Universal enveloping (super)algebras (7 articles)
-
17B37 Quantum groups (quantized enveloping algebras) and related deformations (20 articles)
-
17B40 Automorphisms, derivations, other operators (12 articles)
-
17B45 Lie algebras of linear algebraic groups (6 articles)
-
17B50 Modular Lie (super)algebras (10 articles)
-
17B55 Homological methods in Lie (super)algebras (8 articles)
-
17B56 Cohomology of Lie (super)algebras (21 articles)
-
17B60 Lie (super)algebras associated with other structures (associative, Jordan, etc.) (13 articles)
-
17B62 Lie bialgebras (1 articles)
-
17B63 Poisson algebras (3 articles)
-
17B65 Infinite-dimensional Lie (super)algebras (19 articles)
-
17B66 Lie algebras of vector fields and related (super) algebras (15 articles)
-
17B67 Kac-Moody (super)algebras (structure and representation theory) (7 articles)
-
17B68 Virasoro and related algebras (1 articles)
-
17B69 Vertex operators; vertex operator algebras and related structures (4 articles)
-
17B70 Graded Lie (super)algebras (25 articles)
-
17B75 Color Lie (super)algebras
-
17B80 Applications to integrable systems
-
17B81 Applications to physics (5 articles)
-
17B99 None of the above, but in this section (11 articles)
-
17Cxx Jordan algebras (algebras, triples and pairs) (17 articles)
-
17Cxx Jordan algebras (algebras, triples and pairs)
-
17C05 Identities and free Jordan structures (3 articles)
-
17C10 Structure theory
-
17C17 Radicals
-
17C20 Simple, semisimple algebras (1 articles)
-
17C27 Idempotents, Peirce decompositions
-
17C30 Associated groups, automorphisms (1 articles)
-
17C36 Associated manifolds
-
17C37 Associated geometries (1 articles)
-
17C40 Exceptional Jordan structures (1 articles)
-
17C50 Jordan structures associated with other structures (4 articles)
-
17C55 Finite-dimensional structures (1 articles)
-
17C60 Division algebras
-
17C65 Jordan structures on Banach spaces and algebras (3 articles)
-
17C70 Super structures
-
17C90 Applications to physics (1 articles)
-
17C99 None of the above, but in this section (1 articles)
-
17Dxx Other nonassociative rings and algebras (20 articles)
-
17Dxx Other nonassociative rings and algebras (1 articles)
-
17D05 Alternative rings (5 articles)
-
17D10 Malcev (Maltsev) rings and algebras (3 articles)
-
17D15 Right alternative rings (1 articles)
-
17D20 $(gamma, delta)$-rings, including $(1,-1)$-rings
-
17D25 Lie-admissible algebras (2 articles)
-
17D92 Genetic algebras (1 articles)
-
17D99 None of the above, but in this section (7 articles)
-
18 Category theory; homological algebra (866 articles)
-
18 Category theory; homological algebra
-
18-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (3 articles)
-
18-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
18-02 Research exposition (monographs, survey articles) (1 articles)
-
18-03 Historical (must also be assigned at least one classification number from Section 01)
-
18-04 Explicit machine computation and programs (not the theory of computation or programming)
-
18-06 Proceedings, conferences, collections, etc.
-
18.0 (1940-1958) Homological algebra
-
18.00 (1959-1972) General
-
18.10 (1959-1972) Abstract categories and functors (10 articles)
-
18.15 (1959-1972) Abelian categories
-
18.20 (1959-1972) Homological algebra
-
18.99 (1959-1972) None of the above, but in this section
-
18Axx General theory of categories and functors (269 articles)
-
18Axx General theory of categories and functors (17 articles)
-
18A05 Definitions, generalizations (10 articles)
-
18A10 Graphs, diagram schemes, precategories (3 articles)
-
18A15 Foundations, relations to logic and deductive systems (11 articles)
-
18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (34 articles)
-
18A22 Special properties of functors (faithful, full, etc.) (11 articles)
-
18A23 Natural morphisms, dinatural morphisms (2 articles)
-
18A25 Functor categories, comma categories (11 articles)
-
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (47 articles)
-
18A32 Factorization of morphisms, substructures, quotient structures, congruences, amalgams (9 articles)
-
18A35 Categories admitting limits (complete categories), functors preserving limits, completions (18 articles)
-
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (68 articles)
-
18A99 None of the above, but in this section (28 articles)
-
18Bxx Special categories (282 articles)
-
18Bxx Special categories (21 articles)
-
18B05 Category of sets, characterizations (20 articles)
-
18B10 Category of relations, additive relations (17 articles)
-
18B15 Embedding theorems, universal categories (48 articles)
-
18B20 Categories of machines, automata, operative categories (19 articles)
-
18B25 Topoi (7 articles)
-
18B30 Categories of topological spaces and continuous mappings (61 articles)
-
18B35 Preorders, orders and lattices (viewed as categories) (17 articles)
-
18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories) (5 articles)
-
18B99 None of the above, but in this section (67 articles)
-
18Cxx Categories and theories (65 articles)
-
18Cxx Categories and theories
-
18C05 Equational categories (9 articles)
-
18C10 Theories (e.g. algebraic theories), structure, and semantics (15 articles)
-
18C15 Triples (= standard construction, monad or triad), algebras for a triple, homology and derived functors for triples (21 articles)
-
18C20 Algebras and Kleisli categories associated with monads (7 articles)
-
18C30 Sketches and generalizations
-
18C35 Accessible and locally presentable categories (4 articles)
-
18C50 Categorical semantics of formal languages
-
18C99 None of the above, but in this section (9 articles)
-
18Dxx Categories with structure (89 articles)
-
18Dxx Categories with structure (2 articles)
-
18D05 Double categories, $2$-categories, bicategories and generalizations (7 articles)
-
18D10 Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories (15 articles)
-
18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.) (26 articles)
-
18D20 Enriched categories (over closed or monoidal categories) (6 articles)
-
18D25 Strong functors, strong adjunctions
-
18D30 Fibered categories (6 articles)
-
18D35 Structured objects in a category (group objects, etc.) (6 articles)
-
18D50 Operads (16 articles)
-
18D99 None of the above, but in this section (5 articles)
-
18Exx Abelian categories (60 articles)
-
18Exx Abelian categories
-
18E05 Preadditive, additive categories (6 articles)
-
18E10 Exact categories, abelian categories (10 articles)
-
18E15 Grothendieck categories (1 articles)
-
18E20 Embedding theorems (1 articles)
-
18E25 Derived functors and satellites (1 articles)
-
18E30 Derived categories, triangulated categories (5 articles)
-
18E35 Localization of categories (1 articles)
-
18E40 Torsion theories, radicals (33 articles)
-
18E99 None of the above, but in this section (2 articles)
-
18Fxx Categories and geometry (26 articles)
-
18Fxx Categories and geometry
-
18F05 Local categories and functors (1 articles)
-
18F10 Grothendieck topologies (1 articles)
-
18F15 Abstract manifolds and fiber bundles (7 articles)
-
18F20 Presheaves and sheaves (11 articles)
-
18F25 Algebraic $K$-theory and $L$-theory (2 articles)
-
18F30 Grothendieck groups
-
18F99 None of the above, but in this section (4 articles)
-
18Gxx Homological algebra (61 articles)
-
18Gxx Homological algebra
-
18G05 Projectives and injectives (11 articles)
-
18G10 Resolutions; derived functors (6 articles)
-
18G15 Ext and Tor, generalizations, Künneth formula (6 articles)
-
18G20 Homological dimension (5 articles)
-
18G25 Relative homological algebra, projective classes (10 articles)
-
18G30 Simplicial sets, simplicial objects (in a category) (3 articles)
-
18G35 Chain complexes (5 articles)
-
18G40 Spectral sequences, hypercohomology
-
18G50 Nonabelian homological algebra (3 articles)
-
18G55 Homotopical algebra (7 articles)
-
18G60 Other (co)homology theories (2 articles)
-
18G99 None of the above, but in this section (3 articles)
-
19 $K$-theory (40 articles)
-
19 $K$-theory
-
19-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
19-01 Instructional exposition (textbooks, tutorial papers, etc.) (1 articles)
-
19-02 Research exposition (monographs, survey articles) (1 articles)
-
19-03 Historical (must also be assigned at least one classification number from Section 01)
-
19-04 Explicit machine computation and programs (not the theory of computation or programming)
-
19-06 Proceedings, conferences, collections, etc.
-
19Axx Grothendieck groups and $K_0$ (8 articles)
-
19Axx Grothendieck groups and $K_0$
-
19A13 Stability for projective modules (1 articles)
-
19A15 Efficient generation
-
19A22 Frobenius induction, Burnside and representation rings (7 articles)
-
19A31 $K_0$ of group rings and orders
-
19A49 $K_0$ of other rings
-
19A99 None of the above, but in this section
-
19Bxx Whitehead groups and $K_1$ (3 articles)
-
19Bxx Whitehead groups and $K_1$
-
19B10 Stable range conditions (3 articles)
-
19B14 Stability for linear groups
-
19B28 $K_1$ of group rings and orders
-
19B37 Congruence subgroup problems
-
19B99 None of the above, but in this section
-
19Cxx Steinberg groups and $K_2$
-
19Cxx Steinberg groups and $K_2$
-
19C09 Central extensions and Schur multipliers
-
19C20 Symbols, presentations and stability of $K_2$
-
19C30 $K_2$ and the Brauer group
-
19C40 Excision for $K_2$
-
19C99 None of the above, but in this section
-
19Dxx Higher algebraic $K$-theory (6 articles)
-
19Dxx Higher algebraic $K$-theory
-
19D06 $Q$- and plus-constructions (1 articles)
-
19D10 Algebraic $K$-theory of spaces
-
19D23 Symmetric monoidal categories
-
19D25 Karoubi-Villamayor-Gersten $K$-theory
-
19D35 Negative $K$-theory, NK and Nil
-
19D45 Higher symbols, Milnor $K$-theory
-
19D50 Computations of higher $K$-theory of rings (2 articles)
-
19D55 $K$-theory and homology; cyclic homology and cohomology (3 articles)
-
19D99 None of the above, but in this section
-
19Exx $K$-theory in geometry (1 articles)
-
19Exx $K$-theory in geometry
-
19E08 $K$-theory of schemes
-
19E15 Algebraic cycles and motivic cohomology
-
19E20 Relations with cohomology theories
-
19E99 None of the above, but in this section (1 articles)
-
19Fxx $K$-theory in number theory (1 articles)
-
19Fxx $K$-theory in number theory
-
19F05 Generalized class field theory
-
19F15 Symbols and arithmetic
-
19F27 Étale cohomology, higher regulators, zeta and $L$-functions (1 articles)
-
19F99 None of the above, but in this section
-
19Gxx $K$-theory of forms (4 articles)
-
19Gxx $K$-theory of forms
-
19G05 Stability for quadratic modules
-
19G12 Witt groups of rings (2 articles)
-
19G24 $L$-theory of group rings (2 articles)
-
19G38 Hermitian $K$-theory, relations with $K$-theory of rings
-
19G99 None of the above, but in this section
-
19Jxx Obstructions from topology (1 articles)
-
19Jxx Obstructions from topology
-
19J05 Finiteness and other obstructions in $K_0$
-
19J10 Whitehead (and related) torsion
-
19J25 Surgery obstructions (1 articles)
-
19J35 Obstructions to group actions
-
19J99 None of the above, but in this section
-
19Kxx $K$-theory and operator algebras (1 articles)
-
19Kxx $K$-theory and operator algebras
-
19K14 $K_0$ as an ordered group, traces
-
19K33 EXT and $K$-homology
-
19K35 Kasparov theory ($KK$-theory)
-
19K56 Index theory
-
19K99 None of the above, but in this section (1 articles)
-
19Lxx Topological $K$-theory (12 articles)
-
19Lxx Topological $K$-theory
-
19L10 Riemann-Roch theorems, Chern characters (3 articles)
-
19L20 $J$-homomorphism, Adams operations
-
19L41 Connective $K$-theory, cobordism
-
19L47 Equivariant $K$-theory (1 articles)
-
19L64 Computations, geometric applications (7 articles)
-
19L99 None of the above, but in this section (1 articles)
-
19M05 Miscellaneous applications of $K$-theory (1 articles)
-
20 Group theory and generalizations (2029 articles)
-
20 Group theory and generalizations
-
20-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (12 articles)
-
20-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
20-02 Research exposition (monographs, survey articles) (1 articles)
-
20-03 Historical (must also be assigned at least one classification number from Section 01) (3 articles)
-
20-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
20-06 Proceedings, conferences, collections, etc. (2 articles)
-
20.0 (1940-1958) Group theory and generalizations
-
20.00 (1959-1972) General (35 articles)
-
20.08 (1959-1972) Varieties of groups (1 articles)
-
20.10 (1959-1972) Group presentations; free groups, generators, relations
-
20.15 (1959-1972) Periodic groups
-
20.18 (1959-1972) Groups with local properties
-
20.20 (1959-1972) Groups acting on sets, permutation groups
-
20.22 (1959-1972) Automorphism groups
-
20.25 (1959-1972) Finite group theory (1 articles)
-
20.27 (1959-1972) Structure of groups, classification
-
20.29 (1959-1972) Simple groups
-
20.30 (1959-1972) Abelian groups (22 articles)
-
20.40 (1959-1972) Nilpotent, solvable, $p$-groups
-
20.43 (1959-1972) Sylow subgroups, $Pi$-subgroups
-
20.48 (1959-1972) Group extensions
-
20.50 (1959-1972) Homological methods in group theory
-
20.51 (1959-1972) Limits of systems of groups
-
20.52 (1959-1972) General products of groups (including semidirect, wreath, free, amalgamated) (1 articles)
-
20.54 (1959-1972) Special subgroups (1 articles)
-
20.56 (1959-1972) Series of subgroups (1 articles)
-
20.58 (1959-1972) Lattices of subgroups
-
20.60 (1959-1972) Crystallographic and discrete geometric groups
-
20.65 (1959-1972) Modular groups, discrete subgroups of classical groups
-
20.70 (1959-1972) Classical groups
-
20.72 (1959-1972) Collineation groups
-
20.75 (1959-1972) Linear groups, general
-
20.80 (1959-1972) Representations, characters, group algebras (1 articles)
-
20.85 (1959-1972) Representations of symmetric groups
-
20.90 (1959-1972) Semigroup algebras, representations, characters (2 articles)
-
20.92 (1959-1972) Semigroups, general theory (35 articles)
-
20.93 (1959-1972) Semigroups, structure and classification (20 articles)
-
20.95 (1959-1972) Other binary systems; groupoids, quasigroups, loops (1 articles)
-
20.97 (1959-1972) Ternary systems; heaps, semiheaps, heapoids
-
20.98 (1959-1972) $n$-ary systems
-
20.99 (1959-1972) None of the above, but in this section (4 articles)
-
20Axx Foundations (9 articles)
-
20Axx Foundations
-
20A05 Axiomatics and elementary properties (5 articles)
-
20A10 Metamathematical considerations
-
20A15 Applications of logic to group theory (2 articles)
-
20A99 None of the above, but in this section (2 articles)
-
20Bxx Permutation groups (38 articles)
-
20Bxx Permutation groups
-
20B05 General theory for finite groups (2 articles)
-
20B07 General theory for infinite groups
-
20B10 Characterization theorems (1 articles)
-
20B15 Primitive groups (4 articles)
-
20B20 Multiply transitive finite groups (1 articles)
-
20B22 Multiply transitive infinite groups
-
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures (15 articles)
-
20B27 Infinite automorphism groups (5 articles)
-
20B30 Symmetric groups (2 articles)
-
20B35 Subgroups of symmetric groups (4 articles)
-
20B40 Computational methods (1 articles)
-
20B99 None of the above, but in this section (3 articles)
-
20Cxx Representation theory of groups (74 articles)
-
20Cxx Representation theory of groups
-
20C05 Group rings of finite groups and their modules (17 articles)
-
20C07 Group rings of infinite groups and their modules (17 articles)
-
20C08 Hecke algebras and their representations
-
20C10 Integral representations of finite groups (1 articles)
-
20C11 $p$-adic representations of finite groups
-
20C12 Integral representations of infinite groups
-
20C15 Ordinary representations and characters (20 articles)
-
20C20 Modular representations and characters (4 articles)
-
20C25 Projective representations and multipliers
-
20C30 Representations of finite symmetric groups (5 articles)
-
20C32 Representations of infinite symmetric groups
-
20C33 Representations of finite groups of Lie type (2 articles)
-
20C34 Representations of sporadic groups
-
20C35 Applications of group representations to physics (1 articles)
-
20C40 Computational methods (1 articles)
-
20C99 None of the above, but in this section (6 articles)
-
20Dxx Abstract finite groups (177 articles)
-
20Dxx Abstract finite groups
-
20D05 Classification of simple and nonsolvable groups (14 articles)
-
20D06 Simple groups: alternating groups and groups of Lie type (19 articles)
-
20D08 Simple groups: sporadic groups (10 articles)
-
20D10 Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks (37 articles)
-
20D15 Nilpotent groups, $p$-groups (21 articles)
-
20D20 Sylow subgroups, Sylow properties, $pi$-groups, $pi$-structure (18 articles)
-
20D25 Special subgroups (Frattini, Fitting, etc.) (2 articles)
-
20D30 Series and lattices of subgroups (6 articles)
-
20D35 Subnormal subgroups (3 articles)
-
20D40 Products of subgroups (7 articles)
-
20D45 Automorphisms (3 articles)
-
20D60 Arithmetic and combinatorial problems (29 articles)
-
20D99 None of the above, but in this section (8 articles)
-
20Exx Structure and classification of infinite or finite groups (96 articles)
-
20Exx Structure and classification of infinite or finite groups (2 articles)
-
20E05 Free nonabelian groups (9 articles)
-
20E06 Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (4 articles)
-
20E07 Subgroup theorems; subgroup growth (10 articles)
-
20E08 Groups acting on trees (1 articles)
-
20E10 Quasivarieties and varieties of groups (14 articles)
-
20E15 Chains and lattices of subgroups, subnormal subgroups (18 articles)
-
20E18 Limits, profinite groups (2 articles)
-
20E22 Extensions, wreath products, and other compositions (8 articles)
-
20E25 Local properties (3 articles)
-
20E26 Residual properties and generalizations (2 articles)
-
20E28 Maximal subgroups (3 articles)
-
20E32 Simple groups (2 articles)
-
20E34 General structure theorems (7 articles)
-
20E36 General theorems concerning automorphisms of groups (3 articles)
-
20E42 Groups with a $BN$-pair; buildings (1 articles)
-
20E45 Conjugacy classes (5 articles)
-
20E99 None of the above, but in this section (2 articles)
-
20Fxx Special aspects of infinite or finite groups (134 articles)
-
20Fxx Special aspects of infinite or finite groups
-
20F05 Generators, relations, and presentations (11 articles)
-
20F06 Cancellation theory; application of van Kampen diagrams
-
20F10 Word problems, other decision problems, connections with logic and automata (1 articles)
-
20F12 Commutator calculus (6 articles)
-
20F14 Derived series, central series, and generalizations (8 articles)
-
20F16 Solvable groups, supersolvable groups (5 articles)
-
20F17 Formations of groups, Fitting classes
-
20F18 Nilpotent groups (4 articles)
-
20F19 Generalizations of solvable and nilpotent groups (9 articles)
-
20F22 Other classes of groups defined by subgroup chains (4 articles)
-
20F24 FC-groups and their generalizations (1 articles)
-
20F28 Automorphism groups of groups (3 articles)
-
20F29 Representations of groups as automorphism groups of algebraic systems (3 articles)
-
20F34 Fundamental groups and their automorphisms (1 articles)
-
20F36 Braid groups; Artin groups (3 articles)
-
20F38 Other groups related to topology or analysis (4 articles)
-
20F40 Associated Lie structures
-
20F45 Engel conditions (2 articles)
-
20F50 Periodic groups; locally finite groups (3 articles)
-
20F55 Reflection and Coxeter groups (4 articles)
-
20F60 Ordered groups (47 articles)
-
20F65 Geometric group theory (3 articles)
-
20F67 Hyperbolic groups and nonpositively curved groups
-
20F69 Asymptotic properties of groups (1 articles)
-
20F99 None of the above, but in this section (11 articles)
-
20Gxx Linear algebraic groups (classical groups) (28 articles)
-
20Gxx Linear algebraic groups (classical groups) (1 articles)
-
20G05 Representation theory (5 articles)
-
20G10 Cohomology theory (2 articles)
-
20G15 Linear algebraic groups over arbitrary fields (2 articles)
-
20G20 Linear algebraic groups over the reals, the complexes, the quaternions (4 articles)
-
20G25 Linear algebraic groups over local fields and their integers
-
20G30 Linear algebraic groups over global fields and their integers
-
20G35 Linear algebraic groups over adèles and other rings and schemes
-
20G40 Linear algebraic groups over finite fields (9 articles)
-
20G42 Quantum groups (quantized function algebras) and their representations (3 articles)
-
20G45 Applications to physics
-
20G99 None of the above, but in this section (2 articles)
-
20Hxx Other groups of matrices (20 articles)
-
20Hxx Other groups of matrices
-
20H05 Unimodular groups, congruence subgroups (1 articles)
-
20H10 Fuchsian groups and their generalizations (3 articles)
-
20H15 Other geometric groups, including crystallographic groups (9 articles)
-
20H20 Other matrix groups over fields (3 articles)
-
20H25 Other matrix groups over rings (2 articles)
-
20H30 Other matrix groups over finite fields (1 articles)
-
20H99 None of the above, but in this section (1 articles)
-
20Jxx Connections with homological algebra and category theory (2 articles)
-
20Jxx Connections with homological algebra and category theory
-
20J05 Homological methods in group theory (1 articles)
-
20J06 Cohomology of groups (1 articles)
-
20J15 Category of groups
-
20J99 None of the above, but in this section
-
20Kxx Abelian groups (296 articles)
-
20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms) (49 articles)
-
20Mxx Semigroups (556 articles)
-
20Nxx Other generalizations of groups (406 articles)
-
20Nxx Other generalizations of groups (3 articles)
-
20N02 Sets with a single binary operation (groupoids) (59 articles)
-
20N05 Loops, quasigroups (254 articles)
-
20N10 Ternary systems (heaps, semiheaps, heapoids, etc.) (21 articles)
-
20N15 $n$-ary systems $(nge 3)$ (21 articles)
-
20N20 Hypergroups (11 articles)
-
20N25 Fuzzy groups
-
20N99 None of the above, but in this section (37 articles)
-
20P05 Probabilistic methods in group theory
-
21 (1940-1958) Topological algebraic structures
-
21 (1940-1958) Topological algebraic structures
-
21.0 (1940-1958) Topological algebraic structures
-
22 Topological groups, Lie groups (389 articles)
-
22 Topological groups, Lie groups
-
22-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
22-01 Instructional exposition (textbooks, tutorial papers, etc.) (1 articles)
-
22-02 Research exposition (monographs, survey articles) (1 articles)
-
22-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
22-04 Explicit machine computation and programs (not the theory of computation or programming)
-
22-06 Proceedings, conferences, collections, etc.
-
22.00 (1959-1972) General (4 articles)
-
22.05 (1959-1972) Topological semigroups and other generalizations of groups (18 articles)
-
22.10 (1959-1972) Topological groups (6 articles)
-
22.20 (1959-1972) Locally compact groups
-
22.40 (1959-1972) Transformation groups
-
22.50 (1959-1972) Lie groups (2 articles)
-
22.55 (1959-1972) Classical groups
-
22.57 (1959-1972) Representations and analysis of classical groups (1 articles)
-
22.60 (1959-1972) Representations and analysis, general
-
22.65 (1959-1972) Harmonic analysis on non-abelian groups (See 42.50 for LCA groups)
-
22.70 (1959-1972) Homogeneous spaces, symmetric spaces (1 articles)
-
22.80 (1959-1972) Lie algebras of Lie groups
-
22.90 (1959-1972) Other Lie theory
-
22.99 (1959-1972) None of the above, but in this section
-
22Axx Topological and differentiable algebraic systems (175 articles)
-
22Axx Topological and differentiable algebraic systems (1 articles)
-
22A05 Structure of general topological groups (73 articles)
-
22A10 Analysis on general topological groups (9 articles)
-
22A15 Structure of topological semigroups (25 articles)
-
22A20 Analysis on topological semigroups (7 articles)
-
22A22 Topological groupoids (including differentiable and Lie groupoids) (12 articles)
-
22A25 Representations of general topological groups and semigroups (7 articles)
-
22A26 Topological semilattices, lattices and applications (5 articles)
-
22A30 Other topological algebraic systems and their representations (20 articles)
-
22A99 None of the above, but in this section (16 articles)
-
22Bxx Locally compact abelian groups (LCA groups) (8 articles)
-
22Bxx Locally compact abelian groups (LCA groups)
-
22B05 General properties and structure of LCA groups (4 articles)
-
22B10 Structure of group algebras of LCA groups
-
22B99 None of the above, but in this section (4 articles)
-
22C05 Compact groups (12 articles)
-
22Dxx Locally compact groups and their algebras (25 articles)
-
22Dxx Locally compact groups and their algebras
-
22D05 General properties and structure of locally compact groups (11 articles)
-
22D10 Unitary representations of locally compact groups (1 articles)
-
22D12 Other representations of locally compact groups
-
22D15 Group algebras of locally compact groups (4 articles)
-
22D20 Representations of group algebras
-
22D25 $C^*$-algebras and $W$*-algebras in relation to group representations
-
22D30 Induced representations (1 articles)
-
22D35 Duality theorems (5 articles)
-
22D40 Ergodic theory on groups (2 articles)
-
22D45 Automorphism groups of locally compact groups (1 articles)
-
22D99 None of the above, but in this section
-
22Exx Lie groups (126 articles)
-
22Exx Lie groups (4 articles)
-
22E05 Local Lie groups (3 articles)
-
22E10 General properties and structure of complex Lie groups (2 articles)
-
22E15 General properties and structure of real Lie groups (12 articles)
-
22E20 General properties and structure of other Lie groups (1 articles)
-
22E25 Nilpotent and solvable Lie groups (8 articles)
-
22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (1 articles)
-
22E30 Analysis on real and complex Lie groups (13 articles)
-
22E35 Analysis on $p$-adic Lie groups
-
22E40 Discrete subgroups of Lie groups (1 articles)
-
22E41 Continuous cohomology
-
22E43 Structure and representation of the Lorentz group
-
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods (6 articles)
-
22E46 Semisimple Lie groups and their representations (26 articles)
-
22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (6 articles)
-
22E50 Representations of Lie and linear algebraic groups over local fields
-
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings
-
22E60 Lie algebras of Lie groups (8 articles)
-
22E65 Infinite-dimensional Lie groups and their Lie algebras (12 articles)
-
22E67 Loop groups and related constructions, group-theoretic treatment (1 articles)
-
22E70 Applications of Lie groups to physics; explicit representations (16 articles)
-
22E99 None of the above, but in this section (6 articles)
-
22Fxx Noncompact transformation groups (7 articles)
-
22Fxx Noncompact transformation groups
-
22F05 General theory of group and pseudogroup actions (2 articles)
-
22F10 Measurable group actions
-
22F30 Homogeneous spaces (2 articles)
-
22F50 Groups as automorphisms of other structures (3 articles)
-
26 Real functions (1444 articles)
-
26 Real functions
-
26-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (11 articles)
-
26-01 Instructional exposition (textbooks, tutorial papers, etc.) (92 articles)
-
26-02 Research exposition (monographs, survey articles) (2 articles)
-
26-03 Historical (must also be assigned at least one classification number from Section 01) (12 articles)
-
26-04 Explicit machine computation and programs (not the theory of computation or programming) (2 articles)
-
26-06 Proceedings, conferences, collections, etc. (1 articles)
-
26.0 (1940-1958) Functions of real variables
-
26.00 (1959-1972) General (2 articles)
-
26.1 (1940-1958) Calculus
-
26.10 (1959-1972) Foundations: limits and generalizations, elementary topology of the line (2 articles)
-
26.20 (1959-1972) Calculus (1 articles)
-
26.21 (1959-1972) Elementary functions
-
26.30 (1959-1972) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) (1 articles)
-
26.35 (1959-1972) (5 articles)
-
26.40 (1959-1972) Differentiation, general theory; mean-value theorems (3 articles)
-
26.41 (1959-1972) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
-
26.43 (1959-1972) Generalized derivatives, derivatives of fractional order
-
26.44 (1959-1972) Antidifferentiation
-
26.45 (1959-1972) Denjoy integral, other special integrals (1 articles)
-
26.46 (1959-1972) Integrals of Riemann, Stieltjes and Lebesgue type (1 articles)
-
26.49 (1959-1972) Functions of bounded variation, generalizations
-
26.50 (1959-1972) Monotonic functions, generalizations
-
26.52 (1959-1972) Convexity, generalizations (1 articles)
-
26.54 (1959-1972) Fixed-point theorems
-
26.55 (1959-1972) Several variables, implicit function theorems, Jacobians, transformations with several variables
-
26.56 (1959-1972) Length, area, volume (1 articles)
-
26.60 (1959-1972) Polynomials
-
26.70 (1959-1972) Inequalities (of a general and miscellaneous character) (1 articles)
-
26.80 (1959-1972) Real-analytic functions, $C^infty$ functions
-
26.99 (1959-1972) None of the above, but in this section
-
26Axx Functions of one variable (877 articles)
-
26Axx Functions of one variable (9 articles)
-
26A03 Foundations: limits and generalizations, elementary topology of the line (18 articles)
-
26A06 One-variable calculus (98 articles)
-
26A09 Elementary functions (5 articles)
-
26A12 Rate of growth of functions, orders of infinity, slowly varying functions (10 articles)
-
26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) (99 articles)
-
26A16 Lipschitz (Hölder) classes (11 articles)
-
26A18 Iteration (27 articles)
-
26A21 Classification of real functions; Baire classification of sets and functions (84 articles)
-
26A24 Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems (102 articles)
-
26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (28 articles)
-
26A30 Singular functions, Cantor functions, functions with other special properties (14 articles)
-
26A33 Fractional derivatives and integrals (52 articles)
-
26A36 Antidifferentiation (4 articles)
-
26A39 Denjoy and Perron integrals, other special integrals (135 articles)
-
26A42 Integrals of Riemann, Stieltjes and Lebesgue type (94 articles)
-
26A45 Functions of bounded variation, generalizations (33 articles)
-
26A46 Absolutely continuous functions (6 articles)
-
26A48 Monotonic functions, generalizations (11 articles)
-
26A51 Convexity, generalizations (19 articles)
-
26A99 None of the above, but in this section (18 articles)
-
26Bxx Functions of several variables (204 articles)
-
26Bxx Functions of several variables
-
26B05 Continuity and differentiation questions (42 articles)
-
26B10 Implicit function theorems, Jacobians, transformations with several variables (14 articles)
-
26B12 Calculus of vector functions (4 articles)
-
26B15 Integration: length, area, volume (23 articles)
-
26B20 Integral formulas (Stokes, Gauss, Green, etc.) (22 articles)
-
26B25 Convexity, generalizations (25 articles)
-
26B30 Absolutely continuous functions, functions of bounded variation (16 articles)
-
26B35 Special properties of functions of several variables, Hölder conditions, etc. (20 articles)
-
26B40 Representation and superposition of functions (15 articles)
-
26B99 None of the above, but in this section (23 articles)
-
26Cxx Polynomials, rational functions (18 articles)
-
26Cxx Polynomials, rational functions
-
26C05 Polynomials: analytic properties, etc. (5 articles)
-
26C10 Polynomials: location of zeros (10 articles)
-
26C15 Rational functions (2 articles)
-
26C99 None of the above, but in this section (1 articles)
-
26Dxx Inequalities (123 articles)
-
26Dxx Inequalities
-
26D05 Inequalities for trigonometric functions and polynomials (4 articles)
-
26D07 Inequalities involving other types of functions (2 articles)
-
26D10 Inequalities involving derivatives and differential and integral operators (44 articles)
-
26D15 Inequalities for sums, series and integrals (64 articles)
-
26D20 Other analytical inequalities (4 articles)
-
26D99 None of the above, but in this section (5 articles)
-
26Exx Miscellaneous topics (83 articles)
-
26Exx Miscellaneous topics
-
26E05 Real-analytic functions (4 articles)
-
26E10 $C^infty$-functions, quasi-analytic functions (4 articles)
-
26E15 Calculus of functions on infinite-dimensional spaces (5 articles)
-
26E20 Calculus of functions taking values in infinite-dimensional spaces (6 articles)
-
26E25 Set-valued functions (29 articles)
-
26E30 Non-Archimedean analysis (2 articles)
-
26E35 Nonstandard analysis (8 articles)
-
26E40 Constructive real analysis (1 articles)
-
26E50 Fuzzy real analysis (9 articles)
-
26E60 Means (11 articles)
-
26E99 None of the above, but in this section (4 articles)
-
27 (1940-1958) Analysis
-
27 (1940-1958) Analysis
-
27.0 (1940-1958) Analysis
-
27.1 (1940-1958) Foundations of analysis
-
27.2 (1940-1958) Theory of sets, theory of functions of real variables
-
27.3 (1940-1958) Theory of functions of real variables, theory of measure and integration
-
27.4 (1940-1958) Geometrical analysis
-
27.5 (1940-1958) Functions with particular properties
-
28 Measure and integration (1204 articles)
-
28 Measure and integration
-
28-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (9 articles)
-
28-01 Instructional exposition (textbooks, tutorial papers, etc.) (17 articles)
-
28-02 Research exposition (monographs, survey articles) (3 articles)
-
28-03 Historical (must also be assigned at least one classification number from Section 01) (4 articles)
-
28-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
28-06 Proceedings, conferences, collections, etc. (1 articles)
-
28.0 (1940-1958) Measure and integration
-
28.00 (1959-1972) General (15 articles)
-
28.10 (1959-1972) sets, analytic sets (4 articles)
-
28.13 (1959-1972) Real- or complex-valued set functions, contents, measures, outer measures, capacities, etc. (7 articles)
-
28.16 (1959-1972) Abstract differentiation theory, differentiation of set functions
-
28.20 (1959-1972) Measurable and non-measurable functions; modes of convergence (2 articles)
-
28.25 (1959-1972) Integration with respect to measures and other set functions (3 articles)
-
28.30 (1959-1972) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.)
-
28.40 (1959-1972) Measures and integrals in product spaces (3 articles)
-
28.46 (1959-1972) Measures and integrals in function spaces, linear spaces; Wiener measure (1 articles)
-
28.50 (1959-1972) Vector-valued measures and integrals, integration of vector-valued functions (7 articles)
-
28.55 (1959-1972) Integration and disintegration of measures, lifting theory
-
28.60 (1959-1972) Measures and integrals with values in general ordered systems
-
28.65 (1959-1972) Measures on Boolean rings, measure algebras (1 articles)
-
28.70 (1959-1972) Measure-preserving transformations, flows (dynamical systems), ergodic theory (3 articles)
-
28.75 (1959-1972) Invariant measures, Haar measure (1 articles)
-
28.80 (1959-1972) Length, area, volume; other geometric measure theory (3 articles)
-
28.99 (1959-1972) None of the above, but in this section (3 articles)
-
28Axx Classical measure theory (581 articles)
-
28Axx Classical measure theory (15 articles)
-
28A05 Classes of sets (Borel fields, $sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets (126 articles)
-
28A10 Real- or complex-valued set functions (71 articles)
-
28A12 Contents, measures, outer measures, capacities (63 articles)
-
28A15 Abstract differentiation theory, differentiation of set functions (14 articles)
-
28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (70 articles)
-
28A25 Integration with respect to measures and other set functions (29 articles)
-
28A33 Spaces of measures, convergence of measures (33 articles)
-
28A35 Measures and integrals in product spaces (29 articles)
-
28A50 Integration and disintegration of measures (2 articles)
-
28A51 Lifting theory (2 articles)
-
28A60 Measures on Boolean rings, measure algebras (29 articles)
-
28A75 Length, area, volume, other geometric measure theory (35 articles)
-
28A78 Hausdorff and packing measures (25 articles)
-
28A80 Fractals (23 articles)
-
28A99 None of the above, but in this section (15 articles)
-
28Bxx Set functions, measures and integrals with values in abstract spaces (227 articles)
-
28Bxx Set functions, measures and integrals with values in abstract spaces
-
28B05 Vector-valued set functions, measures and integrals (126 articles)
-
28B10 Group- or semigroup-valued set functions, measures and integrals (28 articles)
-
28B15 Set functions, measures and integrals with values in ordered spaces (33 articles)
-
28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections (35 articles)
-
28B99 None of the above, but in this section (5 articles)
-
28Cxx Set functions and measures on spaces with additional structure (121 articles)
-
28Cxx Set functions and measures on spaces with additional structure (2 articles)
-
28C05 Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (35 articles)
-
28C10 Set functions and measures on topological groups, Haar measures, invariant measures (10 articles)
-
28C15 Set functions and measures on topological spaces (regularity of measures, etc.) (38 articles)
-
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (26 articles)
-
28C99 None of the above, but in this section (10 articles)
-
28Dxx Measure-theoretic ergodic theory (102 articles)
-
28Dxx Measure-theoretic ergodic theory (1 articles)
-
28D05 Measure-preserving transformations (51 articles)
-
28D10 One-parameter continuous families of measure-preserving transformations (10 articles)
-
28D15 General groups of measure-preserving transformations (7 articles)
-
28D20 Entropy and other invariants (27 articles)
-
28D99 None of the above, but in this section (6 articles)
-
28Exx Miscellaneous topics in measure theory (85 articles)
-
28Exx Miscellaneous topics in measure theory
-
28E05 Nonstandard measure theory (13 articles)
-
28E10 Fuzzy measure theory (54 articles)
-
28E15 Other connections with logic and set theory (7 articles)
-
28E99 None of the above, but in this section (11 articles)
-
30 Functions of a complex variable (464 articles)
-
30 Functions of a complex variable
-
30-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (2 articles)
-
30-01 Instructional exposition (textbooks, tutorial papers, etc.) (5 articles)
-
30-02 Research exposition (monographs, survey articles) (4 articles)
-
30-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
30-04 Explicit machine computation and programs (not the theory of computation or programming)
-
30-06 Proceedings, conferences, collections, etc.
-
30.0 (1940-1958) Functions of a complex variable
-
30.00 (1959-1972) General (2 articles)
-
30.01 (1959-1972) General questions, foundations
-
30.02 (1959-1972) Monogenic properties of complex functions (also polygenic and areolar monogenic functions)
-
30.09 (1959-1972) Inequalities in the complex domain
-
30.10 (1959-1972) Polynomials (1 articles)
-
30.11 (1959-1972) Zeros of polynomials
-
30.20 (1959-1972) Power series
-
30.21 (1959-1972) Behavior on the boundary of convergence. Over-convergence
-
30.24 (1959-1972) Dirichlet series
-
30.25 (1959-1972) Continued fractions
-
30.28 (1959-1972) Analytic continuation
-
30.30 (1959-1972) Sequences and series of analytic functions; uniform convergence, normal families, normal functions
-
30.35 (1959-1972) Integration; integral representations; Cauchy integral, Poisson and Poisson-Stieltjes integrals (1 articles)
-
30.36 (1959-1972) Moment problems; interpolation problems
-
30.40 (1959-1972) Conformal mapping, general theory (1 articles)
-
30.41 (1959-1972) Capacity, harmonic measure (1 articles)
-
30.42 (1959-1972) Univalent functions (2 articles)
-
30.43 (1959-1972) Coefficient problems
-
30.44 (1959-1972) Multivalent functions
-
30.45 (1959-1972) Riemann surfaces, uniformization (1 articles)
-
30.46 (1959-1972) Algebraic functions, Abelian integrals
-
30.47 (1959-1972) Quasiconformal mapping
-
30.49 (1959-1972) Automorphic functions and modular functions
-
30.50 (1959-1972) Maximum principle. Schwarz's lemma, Phragmen-Lindel of theorems
-
30.52 (1959-1972) Extremal problems in the complex domain
-
30.55 (1959-1972) Entire functions, general theory
-
30.56 (1959-1972) Entire functions, representation by Dirichlet series
-
30.57 (1959-1972) Entire functions, growth estimates
-
30.58 (1959-1972) Entire functions, distribution of values
-
30.60 (1959-1972) Meromorphic functions, general theory
-
30.61 (1959-1972) Distribution of values, Picard-type theorems, Nevanlinna theory, defect (deficiency) theory
-
30.62 (1959-1972) Theory of cluster sets, prime ends, boundary behavior
-
30.65 (1959-1972) Bounded functions, positive real part, Blaschke products
-
30.66 (1959-1972) Bounded mean modulus, bounded characteristic
-
30.67 (1959-1972) $H_p$ classes and other restrictions
-
30.70 (1959-1972) Approximation by polynomials and rational functions in the complex domain
-
30.75 (1959-1972) Boundary value problems, Dirichlet problem
-
30.77 (1959-1972) Special boundary value problems; Riemann-Hilbert problem. Inverse boundary problems (2 articles)
-
30.79 (1959-1972) Algebroidal functions
-
30.80 (1959-1972) Topological function theory, functions topologically equivalent to analytic mappings
-
30.81 (1959-1972) Generalized analytic mappings. Pseudo-analytic functions of Bers, Vekua, etc.
-
30.83 (1959-1972) Functions of hypercomplex variables and generalized variables
-
30.85 (1959-1972) Spaces of analytic functions
-
30.86 (1959-1972) Kernel function and applications
-
30.87 (1959-1972) Algebras of analytic functions
-
30.99 (1959-1972) None of the above, but in this section
-
30Axx General properties (9 articles)
-
30Axx General properties
-
30A05 Monogenic properties of complex functions (including polygenic and areolar monogenic functions) (3 articles)
-
30A10 Inequalities in the complex domain (2 articles)
-
30A99 None of the above, but in this section (4 articles)
-
30Bxx Series expansions (66 articles)
-
30Bxx Series expansions
-
30B10 Power series (including lacunary series) (30 articles)
-
30B20 Random power series (3 articles)
-
30B30 Boundary behavior of power series, over-convergence (7 articles)
-
30B40 Analytic continuation (11 articles)
-
30B50 Dirichlet series and other series expansions, exponential series (9 articles)
-
30B60 Completeness problems, closure of a system of functions (1 articles)
-
30B70 Continued fractions (4 articles)
-
30B99 None of the above, but in this section (1 articles)
-
30Cxx Geometric function theory (139 articles)
-
30Cxx Geometric function theory (2 articles)
-
30C10 Polynomials (6 articles)
-
30C15 Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral) (23 articles)
-
30C20 Conformal mappings of special domains (6 articles)
-
30C25 Covering theorems in conformal mapping theory
-
30C30 Numerical methods in conformal mapping theory (2 articles)
-
30C35 General theory of conformal mappings (6 articles)
-
30C40 Kernel functions and applications (3 articles)
-
30C45 Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.) (40 articles)
-
30C50 Coefficient problems for univalent and multivalent functions (16 articles)
-
30C55 General theory of univalent and multivalent functions (2 articles)
-
30C62 Quasiconformal mappings in the plane (5 articles)
-
30C65 Quasiconformal mappings in $<B>R</B>^n$, other generalizations (8 articles)
-
30C70 Extremal problems for conformal and quasiconformal mappings, variational methods (4 articles)
-
30C75 Extremal problems for conformal and quasiconformal mappings, other methods (3 articles)
-
30C80 Maximum principle; Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (6 articles)
-
30C85 Capacity and harmonic measure in the complex plane (4 articles)
-
30C99 None of the above, but in this section (3 articles)
-
30Dxx Entire and meromorphic functions, and related topics (114 articles)
-
30Dxx Entire and meromorphic functions, and related topics (1 articles)
-
30D05 Functional equations in the complex domain, iteration and composition of analytic functions (9 articles)
-
30D10 Representations of entire functions by series and integrals (9 articles)
-
30D15 Special classes of entire functions and growth estimates (9 articles)
-
30D20 Entire functions, general theory (6 articles)
-
30D30 Meromorphic functions, general theory (8 articles)
-
30D35 Distribution of values, Nevanlinna theory (51 articles)
-
30D40 Cluster sets, prime ends, boundary behavior (5 articles)
-
30D45 Bloch functions, normal functions, normal families (4 articles)
-
30D50 Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part (5 articles)
-
30D55 $ (4 articles)
-
30D60 Quasi-analytic and other classes of functions (3 articles)
-
30D99 None of the above, but in this section
-
30Exx Miscellaneous topics of analysis in the complex domain (46 articles)
-
30Exx Miscellaneous topics of analysis in the complex domain (1 articles)
-
30E05 Moment problems, interpolation problems (5 articles)
-
30E10 Approximation in the complex domain (13 articles)
-
30E15 Asymptotic representations in the complex domain (1 articles)
-
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions (21 articles)
-
30E25 Boundary value problems (4 articles)
-
30E99 None of the above, but in this section (1 articles)
-
30Fxx Riemann surfaces (8 articles)
-
30Fxx Riemann surfaces
-
30F10 Compact Riemann surfaces and uniformization (1 articles)
-
30F15 Harmonic functions on Riemann surfaces (1 articles)
-
30F20 Classification theory of Riemann surfaces
-
30F25 Ideal boundary theory
-
30F30 Differentials on Riemann surfaces
-
30F35 Fuchsian groups and automorphic functions (1 articles)
-
30F40 Kleinian groups (2 articles)
-
30F45 Conformal metrics (hyperbolic, Poincaré, distance functions) (1 articles)
-
30F50 Klein surfaces (1 articles)
-
30F60 Teichmüller theory
-
30F99 None of the above, but in this section (1 articles)
-
30Gxx Generalized function theory (48 articles)
-
30Gxx Generalized function theory
-
30G06 Non-Archimedean function theory
-
30G12 Finely holomorphic functions and topological function theory (1 articles)
-
30G20 Generalizations of Bers or Vekua type (pseudoanalytic, $p$-analytic, etc.) (2 articles)
-
30G25 Discrete analytic functions
-
30G30 Other generalizations of analytic functions (including abstract-valued functions) (4 articles)
-
30G35 Functions of hypercomplex variables and generalized variables (41 articles)
-
30G99 None of the above, but in this section
-
30H05 Spaces and algebras of analytic functions (10 articles)
-
31 Potential theory (313 articles)
-
31 Potential theory
-
31-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (3 articles)
-
31-01 Instructional exposition (textbooks, tutorial papers, etc.) (2 articles)
-
31-02 Research exposition (monographs, survey articles) (2 articles)
-
31-03 Historical (must also be assigned at least one classification number from Section 01) (5 articles)
-
31-04 Explicit machine computation and programs (not the theory of computation or programming)
-
31-06 Proceedings, conferences, collections, etc.
-
31.0 (1940-1958) Harmonic functions, potential theory
-
31.00 (1959-1972) General (3 articles)
-
31.10 (1959-1972) Harmonic functions in the plane (5 articles)
-
31.11 (1959-1972) Harmonic functions, general
-
31.15 (1959-1972) Subharmonic, superharmonic functions
-
31.20 (1959-1972) Boundary value problems, Dirichlet problem (3 articles)
-
31.21 (1959-1972) Capacity and harmonic measure
-
31.22 (1959-1972) Generalized capacity and potential (1 articles)
-
31.30 (1959-1972) Biharmonic and polyharmonic functions and equations
-
31.35 (1959-1972) Poisson's equation
-
31.50 (1959-1972) Axiomatic potential theory
-
31.99 (1959-1972) None of the above, but in this section
-
31Axx Two-dimensional theory (67 articles)
-
31Axx Two-dimensional theory (4 articles)
-
31A05 Harmonic, subharmonic, superharmonic functions (8 articles)
-
31A10 Integral representations, integral operators, integral equations methods (11 articles)
-
31A15 Potentials and capacity, harmonic measure, extremal length (11 articles)
-
31A20 Boundary behavior (theorems of Fatou type, etc.) (10 articles)
-
31A25 Boundary value and inverse problems (11 articles)
-
31A30 Biharmonic, polyharmonic functions and equations, Poisson's equation (10 articles)
-
31A35 Connections with differential equations (1 articles)
-
31A99 None of the above, but in this section (1 articles)
-
31Bxx Higher-dimensional theory (128 articles)
-
31Bxx Higher-dimensional theory (1 articles)
-
31B05 Harmonic, subharmonic, superharmonic functions (23 articles)
-
31B10 Integral representations, integral operators, integral equations methods (33 articles)
-
31B15 Potentials and capacities, extremal length (18 articles)
-
31B20 Boundary value and inverse problems (26 articles)
-
31B25 Boundary behavior (6 articles)
-
31B30 Biharmonic and polyharmonic equations and functions (14 articles)
-
31B35 Connections with differential equations (5 articles)
-
31B99 None of the above, but in this section (2 articles)
-
31Cxx Other generalizations (52 articles)
-
31Cxx Other generalizations (1 articles)
-
31C05 Harmonic, subharmonic, superharmonic functions (8 articles)
-
31C10 Pluriharmonic and plurisubharmonic functions (3 articles)
-
31C12 Potential theory on Riemannian manifolds (5 articles)
-
31C15 Potentials and capacities (15 articles)
-
31C20 Discrete potential theory and numerical methods
-
31C25 Dirichlet spaces
-
31C35 Martin boundary theory (4 articles)
-
31C40 Fine potential theory (7 articles)
-
31C45 Other generalizations (nonlinear potential theory, etc.) (7 articles)
-
31C99 None of the above, but in this section (2 articles)
-
31D05 Axiomatic potential theory (42 articles)
-
32 Several complex variables and analytic spaces (263 articles)
-
32 Several complex variables and analytic spaces
-
32-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
32-01 Instructional exposition (textbooks, tutorial papers, etc.) (8 articles)
-
32-02 Research exposition (monographs, survey articles)
-
32-03 Historical (must also be assigned at least one classification number from Section 01)
-
32-04 Explicit machine computation and programs (not the theory of computation or programming)
-
32-06 Proceedings, conferences, collections, etc.
-
32.0 (1940-1958) Analytic functions of several variables
-
32.00 (1959-1972) General (1 articles)
-
32.02 (1959-1972) Foundations, general questions
-
32.05 (1959-1972) Polynomials, entire functions
-
32.10 (1959-1972) Power series, formal theory
-
32.12 (1959-1972) General analysis in several complex variables
-
32.15 (1959-1972) Integral representations
-
32.17 (1959-1972) Inequalities
-
32.20 (1959-1972) Domains of holomorphy
-
32.22 (1959-1972) Pseudoconvexity
-
32.25 (1959-1972) Local properties of holomorphic functions
-
32.27 (1959-1972) Removable singularities
-
32.32 (1959-1972) Complex symmetric spaces
-
32.35 (1959-1972) Bergman kernel function (1 articles)
-
32.40 (1959-1972) Analytic manifolds
-
32.44 (1959-1972) Analytic varieties
-
32.47 (1959-1972) Analytic spaces
-
32.49 (1959-1972) Stein spaces
-
32.50 (1959-1972) Analytic sheaves and cohomology theory
-
32.60 (1959-1972) Holomorphic mappings (1 articles)
-
32.65 (1959-1972) Automorphic functions
-
32.70 (1959-1972) Approximation theorems
-
32.80 (1959-1972) Non-Archimedean function theory
-
32.99 (1959-1972) None of the above, but in this section
-
32Axx Holomorphic functions of several complex variables (84 articles)
-
32Axx Holomorphic functions of several complex variables (1 articles)
-
32A05 Power series, series of functions (2 articles)
-
32A07 Special domains (Reinhardt, Hartogs, circular, tube) (2 articles)
-
32A10 Holomorphic functions (11 articles)
-
32A12 Multifunctions
-
32A15 Entire functions (3 articles)
-
32A17 Special families of functions (2 articles)
-
32A18 Bloch functions, normal functions (5 articles)
-
32A19 Normal families of functions, mappings
-
32A20 Meromorphic functions (1 articles)
-
32A22 Nevanlinna theory (local); growth estimates; other inequalities (2 articles)
-
32A25 Integral representations; canonical kernels (Szegö, Bergman, etc.) (12 articles)
-
32A26 Integral representations, constructed kernels (e.g. Cauchy, Fantappiè-type kernels) (2 articles)
-
32A27 Local theory of residues (2 articles)
-
32A30 Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30) (6 articles)
-
32A35 $ (1 articles)
-
32A36 Bergman spaces (11 articles)
-
32A37 Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (9 articles)
-
32A38 Algebras of holomorphic functions (1 articles)
-
32A40 Boundary behavior of holomorphic functions (2 articles)
-
32A45 Hyperfunctions (1 articles)
-
32A50 Harmonic analysis of several complex variables (1 articles)
-
32A55 Singular integrals
-
32A60 Zero sets of holomorphic functions
-
32A65 Banach algebra techniques (1 articles)
-
32A70 Functional analysis techniques
-
32A99 None of the above, but in this section (6 articles)
-
32Bxx Local analytic geometry
-
32Bxx Local analytic geometry
-
32B05 Analytic algebras and generalizations, preparation theorems
-
32B10 Germs of analytic sets, local parametrization
-
32B15 Analytic subsets of affine space
-
32B20 Semi-analytic sets and subanalytic sets
-
32B25 Triangulation and related questions
-
32B99 None of the above, but in this section
-
32Cxx Analytic spaces (9 articles)
-
32Cxx Analytic spaces
-
32C05 Real-analytic manifolds, real-analytic spaces (2 articles)
-
32C07 Real-analytic sets, complex Nash functions
-
32C09 Embedding of real analytic manifolds
-
32C11 Complex supergeometry (1 articles)
-
32C15 Complex spaces (1 articles)
-
32C18 Topology of analytic spaces
-
32C20 Normal analytic spaces
-
32C22 Embedding of analytic spaces
-
32C25 Analytic subsets and submanifolds
-
32C30 Integration on analytic sets and spaces, currents
-
32C35 Analytic sheaves and cohomology groups (3 articles)
-
32C36 Local cohomology of analytic spaces
-
32C37 Duality theorems (1 articles)
-
32C38 Sheaves of differential operators and their modules, $D$-modules (1 articles)
-
32C55 The Levi problem in complex spaces; generalizations
-
32C81 Applications to physics
-
32C99 None of the above, but in this section
-
32Dxx Analytic continuation (16 articles)
-
32Dxx Analytic continuation
-
32D05 Domains of holomorphy (3 articles)
-
32D10 Envelopes of holomorphy (2 articles)
-
32D15 Continuation of analytic objects (4 articles)
-
32D20 Removable singularities (5 articles)
-
32D26 Riemann domains
-
32D99 None of the above, but in this section (2 articles)
-
32Exx Holomorphic convexity (9 articles)
-
32Exx Holomorphic convexity
-
32E05 Holomorphically convex complex spaces, reduction theory (1 articles)
-
32E10 Stein spaces, Stein manifolds (3 articles)
-
32E20 Polynomial convexity (1 articles)
-
32E30 Holomorphic and polynomial approximation, Runge pairs, interpolation (2 articles)
-
32E35 Global boundary behavior of holomorphic functions
-
32E40 The Levi problem
-
32E99 None of the above, but in this section (2 articles)
-
32Fxx Geometric convexity (12 articles)
-
32Fxx Geometric convexity
-
32F10 $q$-convexity, $q$-concavity (3 articles)
-
32F17 Other notions of convexity (2 articles)
-
32F18 Finite-type conditions (1 articles)
-
32F27 Topological consequences of geometric convexity
-
32F32 Analytical consequences of geometric convexity (vanishing theorems, etc.) (1 articles)
-
32F45 Invariant metrics and pseudodistances (5 articles)
-
32F99 None of the above, but in this section
-
32Gxx Deformations of analytic structures (2 articles)
-
32Gxx Deformations of analytic structures
-
32G05 Deformations of complex structures
-
32G07 Deformations of special (e.g. CR) structures
-
32G08 Deformations of fiber bundles
-
32G10 Deformations of submanifolds and subspaces
-
32G13 Analytic moduli problems (1 articles)
-
32G15 Moduli of Riemann surfaces, Teichmüller theory
-
32G20 Period matrices, variation of Hodge structure; degenerations
-
32G34 Moduli and deformations for ordinary differential equations (e.g. Khnizhnik-Zamolodchikov equation) (1 articles)
-
32G81 Applications to physics
-
32G99 None of the above, but in this section
-
32Hxx Holomorphic mappings and correspondences (13 articles)
-
32Hxx Holomorphic mappings and correspondences
-
32H02 Holomorphic mappings, (holomorphic) embeddings and related questions (4 articles)
-
32H04 Meromorphic mappings (1 articles)
-
32H12 Boundary uniqueness of mappings
-
32H25 Picard-type theorems and generalizations (1 articles)
-
32H30 Value distribution theory in higher dimensions (2 articles)
-
32H35 Proper mappings, finiteness theorems (1 articles)
-
32H40 Boundary regularity of mappings
-
32H50 Iteration problems (1 articles)
-
32H99 None of the above, but in this section (3 articles)
-
32Jxx Compact analytic spaces (3 articles)
-
32Jxx Compact analytic spaces
-
32J05 Compactification of analytic spaces
-
32J10 Algebraic dependence theorems
-
32J15 Compact surfaces
-
32J17 Compact $3$-folds (1 articles)
-
32J18 Compact $n$-folds
-
32J25 Transcendental methods of algebraic geometry (1 articles)
-
32J27 Compact Kähler manifolds: generalizations, classification (1 articles)
-
32J81 Applications to physics
-
32J99 None of the above, but in this section
-
32Kxx Generalizations of analytic spaces (should also be assigned at least one other classification number from Section 32 describing the type of problem) (5 articles)
-
32Kxx Generalizations of analytic spaces (should also be assigned at least one other classification number from Section 32 describing the type of problem)
-
32K05 Banach analytic spaces (2 articles)
-
32K07 Formal and graded complex spaces
-
32K15 Differentiable functions on analytic spaces, differentiable spaces
-
32K99 None of the above, but in this section (3 articles)
-
32Lxx Holomorphic fiber spaces (18 articles)
-
32Lxx Holomorphic fiber spaces
-
32L05 Holomorphic bundles and generalizations (3 articles)
-
32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results (4 articles)
-
32L15 Bundle convexity
-
32L20 Vanishing theorems (1 articles)
-
32L25 Twistor theory, double fibrations (9 articles)
-
32L81 Applications to physics (1 articles)
-
32L99 None of the above, but in this section
-
32Mxx Complex spaces with a group of automorphisms (21 articles)
-
32Mxx Complex spaces with a group of automorphisms
-
32M05 Complex Lie groups, automorphism groups acting on complex spaces (6 articles)
-
32M10 Homogeneous complex manifolds (7 articles)
-
32M12 Almost homogeneous manifolds and spaces (1 articles)
-
32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (6 articles)
-
32M17 Automorphism groups of $
-
32M25 Complex vector fields
-
32M99 None of the above, but in this section (1 articles)
-
32Nxx Automorphic functions
-
32Nxx Automorphic functions
-
32N05 General theory of automorphic functions of several complex variables
-
32N10 Automorphic forms
-
32N15 Automorphic functions in symmetric domains
-
32N99 None of the above, but in this section
-
32P05 Non-Archimedean complex analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem)
-
32Qxx Complex manifolds (17 articles)
-
32Qxx Complex manifolds
-
32Q05 Negative curvature manifolds
-
32Q10 Positive curvature manifolds
-
32Q15 Kähler manifolds (5 articles)
-
32Q20 Kähler-Einstein manifolds (3 articles)
-
32Q25 Calabi-Yau theory
-
32Q28 Stein manifolds
-
32Q30 Uniformization
-
32Q35 Complex manifolds as subdomains of Euclidean space
-
32Q40 Embedding theorems (1 articles)
-
32Q45 Hyperbolic and Kobayashi hyperbolic manifolds (2 articles)
-
32Q55 Topological aspects of complex manifolds
-
32Q57 Classification theorems
-
32Q60 Almost complex manifolds (4 articles)
-
32Q65 Pseudoholomorphic curves
-
32Q99 None of the above, but in this section (2 articles)
-
32Sxx Singularities (3 articles)
-
32Sxx Singularities
-
32S05 Local singularities
-
32S10 Invariants of analytic local rings
-
32S15 Equisingularity (topological and analytic)
-
32S20 Global theory of singularities; cohomological properties
-
32S22 Relations with arrangements of hyperplanes
-
32S25 Surface and hypersurface singularities
-
32S30 Deformations of singularities; vanishing cycles (1 articles)
-
32S35 Mixed Hodge theory of singular varieties
-
32S40 Monodromy; relations with differential equations and $D$-modules
-
32S45 Modifications; resolution of singularities
-
32S50 Topological aspects: Lefschetz theorems, topological classification, invariants (1 articles)
-
32S55 Milnor fibration; relations with knot theory
-
32S60 Stratifications; constructible sheaves; intersection cohomology
-
32S65 Singularities of holomorphic vector fields and foliations (1 articles)
-
32S70 Other operations on singularities
-
32S99 None of the above, but in this section
-
32Txx Pseudoconvex domains (4 articles)
-
32Txx Pseudoconvex domains
-
32T05 Domains of holomorphy
-
32T15 Strongly pseudoconvex domains
-
32T20 Worm domains
-
32T25 Finite type domains (1 articles)
-
32T27 Geometric and analytic invariants on weakly pseudoconvex boundaries
-
32T35 Exhaustion functions
-
32T40 Peak functions (1 articles)
-
32T99 None of the above, but in this section (2 articles)
-
32Uxx Pluripotential theory (4 articles)
-
32Uxx Pluripotential theory
-
32U05 Plurisubharmonic functions and generalizations (1 articles)
-
32U10 Plurisubharmonic exhaustion functions
-
32U15 General pluripotential theory (1 articles)
-
32U20 Capacity theory and generalizations
-
32U25 Lelong numbers
-
32U30 Removable sets (1 articles)
-
32U35 Pluricomplex Green functions
-
32U40 Currents (1 articles)
-
32U99 None of the above, but in this section
-
32Vxx CR manifolds (22 articles)
-
32Vxx CR manifolds (3 articles)
-
32V05 CR structures, CR operators, and generalizations (7 articles)
-
32V10 CR functions
-
32V15 CR manifolds as boundaries of domains (1 articles)
-
32V20 Analysis on CR manifolds
-
32V25 Extension of functions and other analytic objects from CR manifolds
-
32V30 Embeddings of CR manifolds
-
32V35 Finite type conditions on CR manifolds (3 articles)
-
32V40 Real submanifolds in complex manifolds (8 articles)
-
32V99 None of the above, but in this section
-
32Wxx Differential operators in several variables (10 articles)
-
32Wxx Differential operators in several variables
-
32W05 $overlinepartial$ and $overlinepartial$-Neumann operators (10 articles)
-
32W10 $overlinepartial_b$ and $overlinepartial_b$-Neumann operators
-
32W20 Complex Monge-Ampère operators
-
32W25 Pseudodifferential operators in several complex variables
-
32W30 Heat kernels in several complex variables
-
32W50 Other partial differential equations of complex analysis
-
32W99 None of the above, but in this section
-
33 Special functions (265 articles)
-
33 Special functions
-
33-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
33-01 Instructional exposition (textbooks, tutorial papers, etc.) (8 articles)
-
33-02 Research exposition (monographs, survey articles)
-
33-03 Historical (must also be assigned at least one classification number from Section 01)
-
33-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
33-06 Proceedings, conferences, collections, etc.
-
33.0 (1940-1958) Special functions
-
33.00 (1959-1972) General
-
33.04 (1959-1972) Number-theoretic functions, special sequences
-
33.10 (1959-1972) Exponential and trigonometric functions
-
33.15 (1959-1972) Gamma and beta functions
-
33.17 (1959-1972) Error function, probability integral
-
33.19 (1959-1972) Elliptic functions and integrals
-
33.20 (1959-1972) Hypergeometric functions, generalizations
-
33.21 (1959-1972) $E$-functions, $G$-functions (1 articles)
-
33.25 (1959-1972) Cylindrical functions; Bessel functions
-
33.27 (1959-1972) Spherical functions; Legendre polynomials and functions, spherical harmonics, ultraspherical polynomials
-
33.28 (1959-1972) Lam\'e, Mathieu, spheroidal wave functions
-
33.30 (1959-1972) Wave functions
-
33.32 (1959-1972) Gegenbauer functions
-
33.40 (1959-1972) Laguerre, etc.)
-
33.45 (1959-1972) Other special functions
-
33.50 (1959-1972) Special functions and Lie groups
-
33.99 (1959-1972) None of the above, but in this section
-
33Bxx Elementary classical functions (61 articles)
-
33Bxx Elementary classical functions
-
33B10 Exponential and trigonometric functions (26 articles)
-
33B15 Gamma, beta and polygamma functions (28 articles)
-
33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (2 articles)
-
33B30 Higher logarithm functions
-
33B99 None of the above, but in this section (5 articles)
-
33Cxx Hypergeometric functions (98 articles)
-
33Cxx Hypergeometric functions
-
33C05 Classical hypergeometric functions, $_2F_1$ (7 articles)
-
33C10 Bessel and Airy functions, cylinder functions, $_0F_1$ (23 articles)
-
33C15 Confluent hypergeometric functions, Whittaker functions, $_1F_1$ (2 articles)
-
33C20 Generalized hypergeometric series, $_pF_q$ (5 articles)
-
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (34 articles)
-
33C47 Other special orthogonal polynomials and functions (1 articles)
-
33C50 Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (2 articles)
-
33C52 Orthogonal polynomials and functions associated with root systems
-
33C55 Spherical harmonics (7 articles)
-
33C60 Hypergeometric integrals and functions defined by them ($E$, $G$ and $ (2 articles)
-
33C65 Appell, Horn and Lauricella functions (1 articles)
-
33C67 Hypergeometric functions associated with root systems
-
33C70 Other hypergeometric functions and integrals in several variables
-
33C75 Elliptic integrals as hypergeometric functions
-
33C80 Connections with groups and algebras, and related topics (6 articles)
-
33C90 Applications (6 articles)
-
33C99 None of the above, but in this section (2 articles)
-
33Dxx Basic hypergeometric functions (24 articles)
-
33Dxx Basic hypergeometric functions
-
33D05 $q$-gamma functions, $q$-beta functions and integrals (2 articles)
-
33D15 Basic hypergeometric functions in one variable, $ (8 articles)
-
33D45 Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (4 articles)
-
33D50 Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (1 articles)
-
33D52 Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.)
-
33D60 Basic hypergeometric integrals and functions defined by them (3 articles)
-
33D65 Bibasic functions and multiple bases
-
33D67 Basic hypergeometric functions associated with root systems
-
33D70 Other basic hypergeometric functions and integrals in several variables (2 articles)
-
33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics (1 articles)
-
33D90 Applications (1 articles)
-
33D99 None of the above, but in this section (2 articles)
-
33Exx Other special functions (68 articles)
-
33Exx Other special functions
-
33E05 Elliptic functions and integrals (34 articles)
-
33E10 Lamé, Mathieu, and spheroidal wave functions (1 articles)
-
33E12 Mittag-Leffler functions and generalizations (1 articles)
-
33E15 Other wave functions
-
33E17 Painlevé-type functions
-
33E20 Other functions defined by series and integrals (14 articles)
-
33E30 Other functions coming from differential, difference and integral equations (6 articles)
-
33E50 Special functions in characteristic $p$ (gamma functions, etc.) (2 articles)
-
33E99 None of the above, but in this section (10 articles)
-
33Fxx Computational aspects (4 articles)
-
33Fxx Computational aspects
-
33F05 Numerical approximation (4 articles)
-
33F10 Symbolic computation (Gosper and Zeilberger algorithms, etc.)
-
33F99 None of the above, but in this section
-
34 Ordinary differential equations (4456 articles)
-
34 Ordinary differential equations
-
34-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (14 articles)
-
34-01 Instructional exposition (textbooks, tutorial papers, etc.) (28 articles)
-
34-02 Research exposition (monographs, survey articles) (7 articles)
-
34-03 Historical (must also be assigned at least one classification number from Section 01) (8 articles)
-
34-04 Explicit machine computation and programs (not the theory of computation or programming) (9 articles)
-
34-06 Proceedings, conferences, collections, etc. (5 articles)
-
34.0 (1940-1958) Ordinary differential equations
-
34.00 (1959-1972) General (25 articles)
-
34.02 (1959-1972) Solutions in closed form; integration by quadratures; reduction of differential equations
-
34.04 (1959-1972) General existence and uniqueness theorems; continuous dependence of solution on parameter, initial and boundary conditions (10 articles)
-
34.06 (1959-1972) Differential equations in the complex domain (2 articles)
-
34.10 (1959-1972) Analytical theory: series, transformations, transforms, operational calculus, etc. (8 articles)
-
34.20 (1959-1972) Linear equations and systems, general (10 articles)
-
34.30 (1959-1972) behavior of eigenfunctions, distribution of eigenvalues (5 articles)
-
34.36 (1959-1972) Nonlinear and multipoint boundary value problems (1 articles)
-
34.40 (1959-1972) Qualitative theory, general (8 articles)
-
34.41 (1959-1972) Limit cycles, singular points
-
34.42 (1959-1972) Zeros, growth, oscillation and comparison of solutions (13 articles)
-
34.45 (1959-1972) Nonlinear oscillations, periodic and almost periodic solutions, integral manifolds, averaging method (8 articles)
-
34.50 (1959-1972) Asymptotic expansions, asymptotic behavior of solutions, turning points (6 articles)
-
34.51 (1959-1972) Stability (4 articles)
-
34.53 (1959-1972) Perturbations (2 articles)
-
34.54 (1959-1972) Singular perturbations; small parameter with highest derivative
-
34.60 (1959-1972) Equations and systems with randomness (See 60.75 for stochastic differential equations) (1 articles)
-
34.65 (1959-1972) Dynamical systems, systems on manifolds (9 articles)
-
34.70 (1959-1972) Differential equations of infinite order
-
34.75 (1959-1972) Functional differential equations, differential-difference equations, equations with retarded argument
-
34.85 (1959-1972) Optimal control problems (2 articles)
-
34.90 (1959-1972) Differential inequalities
-
34.95 (1959-1972) Differential equations in Banach and other abstract spaces (1 articles)
-
34.99 (1959-1972) None of the above, but in this section (1 articles)
-
34Axx General theory (828 articles)
-
34Axx General theory (1 articles)
-
34A05 Explicit solutions and reductions (32 articles)
-
34A09 Implicit equations, differential-algebraic equations (11 articles)
-
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions (92 articles)
-
34A25 Analytical theory: series, transformations, transforms, operational calculus, etc. (93 articles)
-
34A26 Geometric methods in differential equations (14 articles)
-
34A30 Linear equations and systems, general (197 articles)
-
34A34 Nonlinear equations and systems, general (145 articles)
-
34A35 Differential equations of infinite order (2 articles)
-
34A36 Discontinuous equations (6 articles)
-
34A37 Differential equations with impulses (30 articles)
-
34A40 Differential inequalities (26 articles)
-
34A45 Theoretical approximation of solutions (31 articles)
-
34A55 Inverse problems (10 articles)
-
34A60 Differential inclusions (105 articles)
-
34A99 None of the above, but in this section (33 articles)
-
34Bxx Boundary value problems (706 articles)
-
34Bxx Boundary value problems (1 articles)
-
34B05 Linear boundary value problems (67 articles)
-
34B07 Linear boundary value problems with nonlinear dependence on the spectral parameter
-
34B08 Multi-parameter boundary value problems (6 articles)
-
34B09 Boundary value problems with an indefinite weight (4 articles)
-
34B10 Multipoint boundary value problems (117 articles)
-
34B15 Nonlinear boundary value problems (319 articles)
-
34B16 Singular nonlinear boundary value problems (31 articles)
-
34B18 Positive solutions of nonlinear boundary value problems (45 articles)
-
34B20 Weyl theory and its generalizations (5 articles)
-
34B24 Sturm-Liouville theory (21 articles)
-
34B27 Green functions (24 articles)
-
34B30 Special equations (Mathieu, Hill, Bessel, etc.) (10 articles)
-
34B37 Boundary value problems with impulses (13 articles)
-
34B40 Boundary value problems on infinite intervals (20 articles)
-
34B45 Boundary value problems on graphs and networks (1 articles)
-
34B60 Applications (6 articles)
-
34B99 None of the above, but in this section (16 articles)
-
34Cxx Qualitative theory (1223 articles)
-
34Cxx Qualitative theory (1 articles)
-
34C05 Location of integral curves, singular points, limit cycles (41 articles)
-
34C07 Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) (7 articles)
-
34C08 Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.)
-
34C10 Oscillation theory, zeros, disconjugacy and comparison theory (493 articles)
-
34C11 Growth, boundedness, comparison of solutions (122 articles)
-
34C12 Monotone systems (4 articles)
-
34C14 Symmetries, invariants (8 articles)
-
34C15 Nonlinear oscillations, coupled oscillators (83 articles)
-
34C20 Transformation and reduction of equations and systems, normal forms (105 articles)
-
34C23 Bifurcation (30 articles)
-
34C25 Periodic solutions (195 articles)
-
34C26 Relaxation oscillations (2 articles)
-
34C27 Almost periodic solutions (20 articles)
-
34C28 Complex behavior, chaotic systems (10 articles)
-
34C29 Averaging method (7 articles)
-
34C30 Manifolds of solutions (18 articles)
-
34C37 Homoclinic and heteroclinic solutions (11 articles)
-
34C40 Equations and systems on manifolds (5 articles)
-
34C41 Equivalence, asymptotic equivalence (5 articles)
-
34C45 Method of integral manifolds (2 articles)
-
34C55 Hysteresis (11 articles)
-
34C60 Applications (7 articles)
-
34C99 None of the above, but in this section (36 articles)
-
34Dxx Stability theory (260 articles)
-
34Exx Asymptotic theory (110 articles)
-
34Exx Asymptotic theory
-
34E05 Asymptotic expansions (54 articles)
-
34E10 Perturbations, asymptotics (12 articles)
-
34E13 Multiple scale methods (1 articles)
-
34E15 Singular perturbations, general theory (22 articles)
-
34E18 Methods of nonstandard analysis
-
34E20 Singular perturbations, turning point theory, WKB methods (12 articles)
-
34E99 None of the above, but in this section (9 articles)
-
34F05 Equations and systems with randomness (27 articles)
-
34Gxx Differential equations in abstract spaces (228 articles)
-
34H05 Control problems (39 articles)
-
34Kxx Functional-differential and differential-difference equations (739 articles)
-
34Lxx Ordinary differential operators (65 articles)
-
34Lxx Ordinary differential operators
-
34L05 General spectral theory (11 articles)
-
34L10 Eigenfunction expansions, completeness of eigenfunctions (6 articles)
-
34L15 Estimation of eigenvalues, upper and lower bounds (7 articles)
-
34L16 Numerical approximation of eigenvalues and of other parts of the spectrum (1 articles)
-
34L20 Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions (1 articles)
-
34L25 Scattering theory
-
34L30 Nonlinear ordinary differential operators (9 articles)
-
34L40 Particular operators (Dirac, one-dimensional Schrödinger, etc.) (8 articles)
-
34L99 None of the above, but in this section (22 articles)
-
34Mxx Differential equations in the complex domain (44 articles)
-
34Mxx Differential equations in the complex domain
-
34M05 Entire and meromorphic solutions (3 articles)
-
34M10 Oscillation, growth of solutions (8 articles)
-
34M15 Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) (2 articles)
-
34M20 Nonanalytic aspects
-
34M25 Formal solutions, transform techniques
-
34M30 Asymptotics, summation methods
-
34M35 Singularities, monodromy, local behavior of solutions, normal forms (2 articles)
-
34M37 Resurgence phenomena
-
34M40 Stokes phenomena and connection problems (linear and nonlinear)
-
34M45 Differential equations on complex manifolds (1 articles)
-
34M50 Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.)
-
34M55 Painlevé and other special equations; classification, hierarchies; isomonodromic deformations
-
34M60 Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent) (1 articles)
-
34M99 None of the above, but in this section (27 articles)
-
35 Partial differential equations (3951 articles)
-
35 Partial differential equations
-
35-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (5 articles)
-
35-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
35-02 Research exposition (monographs, survey articles) (6 articles)
-
35-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
35-04 Explicit machine computation and programs (not the theory of computation or programming) (3 articles)
-
35-06 Proceedings, conferences, collections, etc. (9 articles)
-
35.0 (1940-1958) Partial differential equations
-
35.00 (1959-1972) General (11 articles)
-
35.01 (1959-1972) Existence and uniqueness theorems, general
-
35.02 (1959-1972) Successive approximations
-
35.03 (1959-1972) Cauchy-Kowalewski theorems, series solutions
-
35.04 (1959-1972) Variational methods, a priori estimates
-
35.05 (1959-1972) Analytic methods; singularities
-
35.06 (1959-1972) Other special methods
-
35.07 (1959-1972) Dependence of solutions on initial and boundary data, parameters (1 articles)
-
35.09 (1959-1972) Geometric theory, characteristics, transformations
-
35.10 (1959-1972) Qualitative theory, general (2 articles)
-
35.11 (1959-1972) Comparison theorems; oscillation, zeros and growth of solutions
-
35.12 (1959-1972) Periodic solutions (6 articles)
-
35.13 (1959-1972) Perturbations
-
35.14 (1959-1972) Singular perturbations, almost periodic solutions (2 articles)
-
35.15 (1959-1972) Stability and control, boundedness (1 articles)
-
35.16 (1959-1972) Asymptotic behavior of solutions
-
35.19 (1959-1972) Differential inequalities; a priori estimates
-
35.20 (1959-1972) Generalized solutions
-
35.21 (1959-1972) Embedding theorems, Sobolev spaces
-
35.23 (1959-1972) Pseudodifferential operators
-
35.24 (1959-1972) Regularity of generalized solutions (1 articles)
-
35.30 (1959-1972) Linear equations and systems, first order
-
35.31 (1959-1972) Linear equations and systems, higher order
-
35.35 (1959-1972) Nonlinear equations and systems, first order
-
35.36 (1959-1972) Nonlinear equations and systems, higher order (2 articles)
-
35.37 (1959-1972) Cauchy problems
-
35.38 (1959-1972) Discontinuous coefficients or data
-
35.39 (1959-1972) Equations and systems with constant coefficients (1 articles)
-
35.42 (1959-1972) Second order elliptic equations (3 articles)
-
35.43 (1959-1972) Higher order elliptic equations
-
35.44 (1959-1972) Elliptic systems (linear or nonlinear)
-
35.45 (1959-1972) Boundary value problems for elliptic equations (5 articles)
-
35.46 (1959-1972) Boundary value problems for elliptic systems
-
35.47 (1959-1972) Quasilinear elliptic equations and systems
-
35.48 (1959-1972) Hypoelliptic equations and systems
-
35.52 (1959-1972) Second order hyperbolic equations
-
35.53 (1959-1972) Hyperbolic systems, hyperbolic equations of higher order (1 articles)
-
35.55 (1959-1972) Boundary value problems for hyperbolic equations and systems (1 articles)
-
35.57 (1959-1972) Quasilinear hyperbolic equations and systems
-
35.62 (1959-1972) Second order parabolic equations (5 articles)
-
35.63 (1959-1972) Parabolic systems, parabolic equations of higher order
-
35.65 (1959-1972) Boundary value problems for parabolic equations and systems (3 articles)
-
35.70 (1959-1972) Equations and systems of mixed type (boundary value problems, etc.)
-
35.75 (1959-1972) Laplace's equation, reduced wave equation, Poisson's equation
-
35.76 (1959-1972) Wave equation (3 articles)
-
35.77 (1959-1972) Schr"odinger equation
-
35.78 (1959-1972) Heat equation (1 articles)
-
35.79 (1959-1972) Other special equations and problems (1 articles)
-
35.80 (1959-1972) Eigenvalue problems, spectral theory, eigenfunction expansions (1 articles)
-
35.88 (1959-1972) Difference-partial differential equations; equations with time lag
-
35.95 (1959-1972) Operator equations, general
-
35.96 (1959-1972) Equations on manifolds
-
35.97 (1959-1972) Equations in function spaces
-
35.99 (1959-1972) None of the above, but in this section (5 articles)
-
35Axx General theory (215 articles)
-
35Axx General theory
-
35A05 General existence and uniqueness theorems (60 articles)
-
35A07 Local existence and uniqueness theorems (7 articles)
-
35A08 Fundamental solutions (5 articles)
-
35A10 Cauchy-Kovalevskaya theorems (4 articles)
-
35A15 Variational methods (34 articles)
-
35A17 Parametrices
-
35A18 Wave front sets (1 articles)
-
35A20 Analytic methods, singularities (7 articles)
-
35A21 Propagation of singularities (1 articles)
-
35A22 Transform methods (e.g. integral transforms) (12 articles)
-
35A25 Other special methods (10 articles)
-
35A27 Microlocal methods; methods of sheaf theory and homological algebra in PDE (4 articles)
-
35A30 Geometric theory, characteristics, transformations (22 articles)
-
35A35 Theoretical approximation to solutions (43 articles)
-
35A99 None of the above, but in this section (5 articles)
-
35Bxx Qualitative properties of solutions (762 articles)
-
35Bxx Qualitative properties of solutions (1 articles)
-
35B05 General behavior of solutions of PDE (comparison theorems; oscillation, zeros and growth of solutions; mean value theorems) (51 articles)
-
35B10 Periodic solutions (80 articles)
-
35B15 Almost periodic solutions (12 articles)
-
35B20 Perturbations (12 articles)
-
35B25 Singular perturbations (28 articles)
-
35B27 Homogenization; partial differential equations in media with periodic structure (45 articles)
-
35B30 Dependence of solutions of PDE on initial and boundary data, parameters (23 articles)
-
35B32 Bifurcation (41 articles)
-
35B33 Critical exponents (6 articles)
-
35B34 Resonances (3 articles)
-
35B35 Stability, boundedness (62 articles)
-
35B37 PDE in connection with control problems (9 articles)
-
35B38 Critical points (9 articles)
-
35B40 Asymptotic behavior of solutions (151 articles)
-
35B41 Attractors (12 articles)
-
35B42 Inertial manifolds (2 articles)
-
35B45 A priori estimates (80 articles)
-
35B50 Maximum principles (17 articles)
-
35B60 Continuation and prolongation of solutions of PDE (10 articles)
-
35B65 Smoothness and regularity of solutions of PDE (100 articles)
-
35B99 None of the above, but in this section (8 articles)
-
35Cxx Representations of solutions (46 articles)
-
35Cxx Representations of solutions
-
35C05 Solutions in closed form (11 articles)
-
35C10 Series solutions, expansion theorems (11 articles)
-
35C15 Integral representations of solutions of PDE (13 articles)
-
35C20 Asymptotic expansions (9 articles)
-
35C99 None of the above, but in this section (2 articles)
-
35Dxx Generalized solutions of partial differential equations (163 articles)
-
35Dxx Generalized solutions of partial differential equations
-
35D05 Existence of generalized solutions (89 articles)
-
35D10 Regularity of generalized solutions (67 articles)
-
35D99 None of the above, but in this section (7 articles)
-
35Exx Equations and systems with constant coefficients (11 articles)
-
35Exx Equations and systems with constant coefficients
-
35E05 Fundamental solutions (1 articles)
-
35E10 Convexity properties (1 articles)
-
35E15 Initial value problems (4 articles)
-
35E20 General theory (2 articles)
-
35E99 None of the above, but in this section (3 articles)
-
35Fxx General first-order equations and systems (35 articles)
-
35Fxx General first-order equations and systems
-
35F05 General theory of linear first-order PDE (5 articles)
-
35F10 Initial value problems for linear first-order PDE, linear evolution equations (1 articles)
-
35F15 Boundary value problems for linear first-order PDE (4 articles)
-
35F20 General theory of nonlinear first-order PDE (13 articles)
-
35F25 Initial value problems for nonlinear first-order PDE, nonlinear evolution equations (5 articles)
-
35F30 Boundary value problems for nonlinear first-order PDE (6 articles)
-
35F99 None of the above, but in this section (1 articles)
-
35Gxx General higher-order equations and systems (87 articles)
-
35Gxx General higher-order equations and systems
-
35G05 General theory of linear higher-order PDE (14 articles)
-
35G10 Initial value problems for linear higher-order PDE, linear evolution equations (24 articles)
-
35G15 Boundary value problems for linear higher-order PDE (5 articles)
-
35G20 General theory of nonlinear higher-order PDE (16 articles)
-
35G25 Initial value problems for nonlinear higher-order PDE, nonlinear evolution equations (10 articles)
-
35G30 Boundary value problems for nonlinear higher-order PDE (15 articles)
-
35G99 None of the above, but in this section (3 articles)
-
35Hxx Close-to-elliptic equations (5 articles)
-
35Hxx Close-to-elliptic equations
-
35H10 Hypoelliptic equations (1 articles)
-
35H20 Subelliptic equations (3 articles)
-
35H30 Quasi-elliptic equations (1 articles)
-
35H99 None of the above, but in this section
-
35Jxx Partial differential equations of elliptic type (906 articles)
-
35Jxx Partial differential equations of elliptic type (10 articles)
-
35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation (66 articles)
-
35J10 Schrödinger operator (12 articles)
-
35J15 General theory of second-order, elliptic equations (27 articles)
-
35J20 Variational methods for second-order, elliptic equations (73 articles)
-
35J25 Boundary value problems for second-order, elliptic equations (168 articles)
-
35J30 General theory of higher-order, elliptic equations (15 articles)
-
35J35 Variational methods for higher-order, elliptic equations (16 articles)
-
35J40 Boundary value problems for higher-order, elliptic equations (42 articles)
-
35J45 General theory of elliptic systems of PDE (19 articles)
-
35J50 Variational methods for elliptic systems (18 articles)
-
35J55 Boundary value problems for elliptic systems (27 articles)
-
35J60 Nonlinear PDE of elliptic type (170 articles)
-
35J65 Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE (136 articles)
-
35J67 Boundary values of solutions to elliptic PDE (7 articles)
-
35J70 Elliptic partial differential equations of degenerate type (57 articles)
-
35J85 Unilateral problems and variational inequalities for elliptic PDE (36 articles)
-
35J99 None of the above, but in this section (7 articles)
-
35Kxx Parabolic equations and systems (654 articles)
-
35Kxx Parabolic equations and systems (11 articles)
-
35K05 Heat equation (59 articles)
-
35K10 General theory of second-order, parabolic equations (16 articles)
-
35K15 Initial value problems for second-order, parabolic equations (32 articles)
-
35K20 Boundary value problems for second-order, parabolic equations (71 articles)
-
35K25 General theory of higher-order, parabolic equations (22 articles)
-
35K30 Initial value problems for higher-order, parabolic equations (5 articles)
-
35K35 Boundary value problems for higher-order, parabolic equations (13 articles)
-
35K40 General theory of parabolic systems of PDE (20 articles)
-
35K45 Initial value problems for parabolic systems (12 articles)
-
35K50 Boundary value problems for parabolic systems (20 articles)
-
35K55 Nonlinear PDE of parabolic type (145 articles)
-
35K57 Reaction-diffusion equations (71 articles)
-
35K60 Nonlinear boundary value problems for linear parabolic PDE; boundary value problems for nonlinear parabolic PDE (65 articles)
-
35K65 Parabolic partial differential equations of degenerate type (47 articles)
-
35K70 Ultraparabolic, pseudoparabolic PDE, etc. (3 articles)
-
35K85 Unilateral problems and variational inequalities for parabolic PDE (16 articles)
-
35K90 Abstract parabolic evolution equations (12 articles)
-
35K99 None of the above, but in this section (14 articles)
-
35Lxx Partial differential equations of hyperbolic type (277 articles)
-
35Lxx Partial differential equations of hyperbolic type (2 articles)
-
35L05 Wave equation (25 articles)
-
35L10 General theory of second-order, hyperbolic equations (12 articles)
-
35L15 Initial value problems for second-order, hyperbolic equations (15 articles)
-
35L20 Boundary value problems for second-order, hyperbolic equations (33 articles)
-
35L25 General theory of higher-order, hyperbolic equations (2 articles)
-
35L30 Initial value problems for higher-order, hyperbolic equations (1 articles)
-
35L35 Boundary value problems for higher-order, hyperbolic equations (5 articles)
-
35L40 General theory of hyperbolic systems of first-order PDE (5 articles)
-
35L45 Initial value problems for hyperbolic systems of first-order PDE (6 articles)
-
35L50 Boundary value problems for hyperbolic systems of first-order PDE (12 articles)
-
35L55 Hyperbolic systems of higher-order PDE (3 articles)
-
35L60 Nonlinear first-order PDE of hyperbolic type (30 articles)
-
35L65 Conservation laws (25 articles)
-
35L67 Shocks and singularities (11 articles)
-
35L70 Nonlinear second-order PDE of hyperbolic type (60 articles)
-
35L75 Nonlinear hyperbolic PDE of higher ($gtr 2$) order (7 articles)
-
35L80 Hyperbolic PDE of degenerate type (6 articles)
-
35L82 Pseudohyperbolic equations
-
35L85 Unilateral problems; variational inequalities for hyperbolic PDE (6 articles)
-
35L90 Abstract hyperbolic evolution equations (3 articles)
-
35L99 None of the above, but in this section (8 articles)
-
35Mxx Partial differential equations of special type (mixed, composite, etc.) (14 articles)
-
35Mxx Partial differential equations of special type (mixed, composite, etc.)
-
35M10 PDE of mixed type (7 articles)
-
35M20 PDE of composite type (3 articles)
-
35M99 None of the above, but in this section (4 articles)
-
35Nxx Overdetermined systems (8 articles)
-
35Nxx Overdetermined systems
-
35N05 Overdetermined systems with constant coefficients (1 articles)
-
35N10 Overdetermined systems with variable coefficients (general) (4 articles)
-
35N15 $overlinepartial$-Neumann problem and generalizations; formal complexes (2 articles)
-
35N99 None of the above, but in this section (1 articles)
-
35Pxx Spectral theory and eigenvalue problems for partial differential operators (97 articles)
-
35Pxx Spectral theory and eigenvalue problems for partial differential operators (1 articles)
-
35P05 General spectral theory of PDE (19 articles)
-
35P10 Completeness of eigenfunctions, eigenfunction expansions for PDO (7 articles)
-
35P15 Estimation of eigenvalues, upper and lower bounds (25 articles)
-
35P20 Asymptotic distribution of eigenvalues and eigenfunctions for PDO (8 articles)
-
35P25 Scattering theory for PDE (5 articles)
-
35P30 Nonlinear eigenvalue problems, nonlinear spectral theory for PDO (28 articles)
-
35P99 None of the above, but in this section (4 articles)
-
35Qxx Equations of mathematical physics and other areas of application (389 articles)
-
35Qxx Equations of mathematical physics and other areas of application (7 articles)
-
35Q05 Euler-Poisson-Darboux equation and generalizations (3 articles)
-
35Q15 Riemann-Hilbert problems (1 articles)
-
35Q30 Stokes and Navier-Stokes equations (130 articles)
-
35Q35 Other equations arising in fluid mechanics (108 articles)
-
35Q40 Equations from quantum mechanics (12 articles)
-
35Q51 Solitons (3 articles)
-
35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.) (12 articles)
-
35Q55 NLS-like (nonlinear Schrödinger) equations (11 articles)
-
35Q58 Other completely integrable equations
-
35Q60 Equations of electromagnetic theory and optics (26 articles)
-
35Q72 Other equations from mechanics (26 articles)
-
35Q75 PDE in relativity
-
35Q80 Applications of PDE in areas other than physics (4 articles)
-
35Q99 None of the above, but in this section (46 articles)
-
35Rxx Miscellaneous topics involving partial differential equations (188 articles)
-
35Rxx Miscellaneous topics involving partial differential equations
-
35R05 PDE with discontinuous coefficients or data (21 articles)
-
35R10 Partial functional-differential or differential-difference equations, with or without deviating arguments (33 articles)
-
35R12 Impulsive partial differential equations (3 articles)
-
35R15 Partial differential equations on infinite-dimensional (e.g. function) spaces (= PDE in infinitely many variables) (6 articles)
-
35R20 Partial operator-differential equations (i.e. PDE on finite-dimensional spaces for abstract space valued functions) (16 articles)
-
35R25 Improperly posed problems for PDE (1 articles)
-
35R30 Inverse problems (undetermined coefficients, etc.) for PDE (36 articles)
-
35R35 Free boundary problems for PDE (38 articles)
-
35R45 Partial differential inequalities (7 articles)
-
35R50 Partial differential equations of infinite order
-
35R60 Partial differential equations with randomness (17 articles)
-
35R70 PDE with multivalued right-hand sides (8 articles)
-
35R99 None of the above, but in this section (2 articles)
-
35Sxx Pseudodifferential operators and other generalizations of partial differential operators (13 articles)
-
35Sxx Pseudodifferential operators and other generalizations of partial differential operators
-
35S05 General theory of PsDO (4 articles)
-
35S10 Initial value problems for PsDO
-
35S15 Boundary value problems for PsDO (4 articles)
-
35S30 Fourier integral operators (3 articles)
-
35S35 Topological aspects: intersection cohomology, stratified sets, etc.
-
35S50 Paradifferential operators (1 articles)
-
35S99 None of the above, but in this section (1 articles)
-
36 (1940-1958) Differential equations, operational calculus
-
36 (1940-1958) Differential equations, operational calculus
-
36.0 (1940-1958) Differential equations
-
36.1 (1940-1958) Differential equations, operational calculus
-
37 Dynamical systems and ergodic theory (444 articles)
-
37 Dynamical systems and ergodic theory
-
37-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
37-01 Instructional exposition (textbooks, tutorial papers, etc.) (1 articles)
-
37-02 Research exposition (monographs, survey articles)
-
37-03 Historical (must also be assigned at least one classification number from Section 01)
-
37-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
37-06 Proceedings, conferences, collections, etc. (2 articles)
-
37Axx Ergodic theory (27 articles)
-
37Axx Ergodic theory
-
37A05 Measure-preserving transformations (3 articles)
-
37A10 One-parameter continuous families of measure-preserving transformations
-
37A15 General groups of measure-preserving transformations (1 articles)
-
37A17 Homogeneous flows
-
37A20 Orbit equivalence, cocycles, ergodic equivalence relations
-
37A25 Ergodicity, mixing, rates of mixing (4 articles)
-
37A30 Ergodic theorems, spectral theory, Markov operators (5 articles)
-
37A35 Entropy and other invariants, isomorphism, classification (4 articles)
-
37A40 Nonsingular (and infinite-measure preserving) transformations (1 articles)
-
37A45 Relations with number theory and harmonic analysis (2 articles)
-
37A50 Relations with probability theory and stochastic processes (2 articles)
-
37A55 Relations with the theory of $C^*$-algebras
-
37A60 Dynamical systems in statistical mechanics (1 articles)
-
37A99 None of the above, but in this section (4 articles)
-
37Bxx Topological dynamics (82 articles)
-
37Bxx Topological dynamics
-
37B05 Transformations and group actions with special properties (minimality, distality, proximality, etc.) (14 articles)
-
37B10 Symbolic dynamics (9 articles)
-
37B15 Cellular automata
-
37B20 Notions of recurrence (9 articles)
-
37B25 Lyapunov functions and stability; attractors, repellers (13 articles)
-
37B30 Index theory, Morse-Conley indices (4 articles)
-
37B35 Gradient-like and recurrent behavior; isolated (locally-maximal) invariant sets
-
37B40 Topological entropy (9 articles)
-
37B45 Continua theory in dynamics
-
37B50 Multi-dimensional shifts of finite type, tiling dynamics
-
37B55 Nonautonomous dynamical systems (6 articles)
-
37B99 None of the above, but in this section (18 articles)
-
37Cxx Smooth dynamical systems: general theory (58 articles)
-
37Cxx Smooth dynamical systems: general theory (2 articles)
-
37C05 Smooth mappings and diffeomorphisms (2 articles)
-
37C10 Vector fields, flows, ordinary differential equations (11 articles)
-
37C15 Topological and differentiable equivalence, conjugacy, invariants, moduli, classification (1 articles)
-
37C20 Generic properties, structural stability (1 articles)
-
37C25 Fixed points, periodic points, fixed-point index theory (7 articles)
-
37C27 Periodic orbits of vector fields and flows (1 articles)
-
37C29 Homoclinic and heteroclinic orbits (6 articles)
-
37C30 Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems (1 articles)
-
37C35 Orbit growth
-
37C40 Smooth ergodic theory, invariant measures (1 articles)
-
37C45 Dimension theory of dynamical systems (4 articles)
-
37C50 Approximate trajectories (pseudotrajectories, shadowing, etc.) (1 articles)
-
37C55 Periodic and quasiperiodic flows and diffeomorphisms
-
37C60 Nonautonomous smooth dynamical systems (1 articles)
-
37C65 Monotone flows
-
37C70 Attractors and repellers, topological structure (9 articles)
-
37C75 Stability theory (6 articles)
-
37C80 Symmetries, equivariant dynamical systems (3 articles)
-
37C85 Dynamics of group actions other than <B>Z</B> and <B>R</B>, and foliations
-
37C99 None of the above, but in this section (1 articles)
-
37Dxx Dynamical systems with hyperbolic behavior (42 articles)
-
37Dxx Dynamical systems with hyperbolic behavior
-
37D05 Hyperbolic orbits and sets
-
37D10 Invariant manifold theory (2 articles)
-
37D15 Morse-Smale systems (1 articles)
-
37D20 Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (1 articles)
-
37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
-
37D30 Partially hyperbolic systems and dominated splittings
-
37D35 Thermodynamic formalism, variational principles, equilibrium states (1 articles)
-
37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (1 articles)
-
37D45 Strange attractors, chaotic dynamics (31 articles)
-
37D50 Hyperbolic systems with singularities (billiards, etc.) (1 articles)
-
37D99 None of the above, but in this section (4 articles)
-
37Exx Low-dimensional dynamical systems (29 articles)
-
37Exx Low-dimensional dynamical systems
-
37E05 Maps of the interval (piecewise continuous, continuous, smooth) (4 articles)
-
37E10 Maps of the circle (8 articles)
-
37E15 Combinatorial dynamics (types of periodic orbits) (2 articles)
-
37E20 Universality, renormalization
-
37E25 Maps of trees and graphs (2 articles)
-
37E30 Homeomorphisms and diffeomorphisms of planes and surfaces
-
37E35 Flows on surfaces
-
37E40 Twist maps
-
37E45 Rotation numbers and vectors (1 articles)
-
37E99 None of the above, but in this section (12 articles)
-
37Fxx Complex dynamical systems (5 articles)
-
37Fxx Complex dynamical systems (1 articles)
-
37F05 Relations and correspondences
-
37F10 Polynomials; rational maps; entire and meromorphic functions (1 articles)
-
37F15 Expanding maps; hyperbolicity; structural stability
-
37F20 Combinatorics and topology
-
37F25 Renormalization
-
37F30 Quasiconformal methods and Teichmüller theory; Fuchsian and Kleinian groups as dynamical systems
-
37F35 Conformal densities and Hausdorff dimension
-
37F40 Geometric limits
-
37F45 Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations (1 articles)
-
37F50 Small divisors, rotation domains and linearization; Fatou and Julia sets (1 articles)
-
37F75 Holomorphic foliations and vector fields
-
37F99 None of the above, but in this section (1 articles)
-
37Gxx Local and nonlocal bifurcation theory (31 articles)
-
37Gxx Local and nonlocal bifurcation theory
-
37G05 Normal forms (1 articles)
-
37G10 Bifurcations of singular points (1 articles)
-
37G15 Bifurcations of limit cycles and periodic orbits (8 articles)
-
37G20 Hyperbolic singular points with homoclinic trajectories
-
37G25 Bifurcations connected with nontransversal intersection
-
37G30 Infinite nonwandering sets arising in bifurcations
-
37G35 Attractors and their bifurcations
-
37G40 Symmetries, equivariant bifurcation theory (1 articles)
-
37G99 None of the above, but in this section (20 articles)
-
37Hxx Random dynamical systems (3 articles)
-
37Hxx Random dynamical systems
-
37H05 Foundations, general theory of cocycles, algebraic ergodic theory (1 articles)
-
37H10 Generation, random and stochastic difference and differential equations (2 articles)
-
37H15 Multiplicative ergodic theory, Lyapunov exponents
-
37H20 Bifurcation theory
-
37H99 None of the above, but in this section
-
37Jxx Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems (67 articles)
-
37Jxx Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems (2 articles)
-
37J05 General theory, relations with symplectic geometry and topology (5 articles)
-
37J10 Symplectic mappings, fixed points
-
37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction (3 articles)
-
37J20 Bifurcation problems (1 articles)
-
37J25 Stability problems
-
37J30 Obstructions to integrability (nonintegrability criteria) (1 articles)
-
37J35 Completely integrable systems, topological structure of phase space, integration methods (4 articles)
-
37J40 Perturbations, normal forms, small divisors, KAM theory, Arnold diffusion (7 articles)
-
37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (6 articles)
-
37J50 Action-minimizing orbits and measures
-
37J55 Contact systems
-
37J60 Nonholonomic dynamical systems (4 articles)
-
37J99 None of the above, but in this section (34 articles)
-
37Kxx Infinite-dimensional Hamiltonian systems (11 articles)
-
37Kxx Infinite-dimensional Hamiltonian systems
-
37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (2 articles)
-
37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) (2 articles)
-
37K15 Integration of completely integrable systems by inverse spectral and scattering methods (2 articles)
-
37K20 Relations with algebraic geometry, complex analysis, special functions
-
37K25 Relations with differential geometry
-
37K30 Relations with infinite-dimensional Lie algebras and other algebraic structures
-
37K35 Lie-Bäcklund and other transformations
-
37K40 Soliton theory, asymptotic behavior of solutions (1 articles)
-
37K45 Stability problems
-
37K50 Bifurcation problems (1 articles)
-
37K55 Perturbations, KAM for infinite-dimensional systems
-
37K60 Lattice dynamics (1 articles)
-
37K65 Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (2 articles)
-
37K99 None of the above, but in this section
-
37Lxx Infinite-dimensional dissipative dynamical systems (33 articles)
-
37Lxx Infinite-dimensional dissipative dynamical systems
-
37L05 General theory, nonlinear semigroups, evolution equations (5 articles)
-
37L10 Normal forms, center manifold theory, bifurcation theory (3 articles)
-
37L15 Stability problems (2 articles)
-
37L20 Symmetries (1 articles)
-
37L25 Inertial manifolds and other invariant attracting sets (2 articles)
-
37L30 Attractors and their dimensions, Lyapunov exponents (9 articles)
-
37L40 Invariant measures (4 articles)
-
37L45 Hyperbolicity; Lyapunov functions (1 articles)
-
37L50 Noncompact semigroups; dispersive equations; perturbations of Hamiltonian systems
-
37L55 Infinite-dimensional random dynamical systems; stochastic equations (3 articles)
-
37L60 Lattice dynamics (1 articles)
-
37L65 Special approximation methods (nonlinear Galerkin, etc.) (1 articles)
-
37L99 None of the above, but in this section (1 articles)
-
37Mxx Approximation methods and numerical treatment of dynamical systems (13 articles)
-
37Mxx Approximation methods and numerical treatment of dynamical systems (1 articles)
-
37M05 Simulation (2 articles)
-
37M10 Time series analysis (5 articles)
-
37M15 Symplectic integrators
-
37M20 Computational methods for bifurcation problems (2 articles)
-
37M25 Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) (1 articles)
-
37M99 None of the above, but in this section (2 articles)
-
37Nxx Applications (39 articles)
-
37Nxx Applications
-
37N05 Dynamical systems in classical and celestial mechanics (1 articles)
-
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology (4 articles)
-
37N15 Dynamical systems in solid mechanics (1 articles)
-
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (1 articles)
-
37N25 Dynamical systems in biology (10 articles)
-
37N30 Dynamical systems in numerical analysis (1 articles)
-
37N35 Dynamical systems in control (11 articles)
-
37N40 Dynamical systems in optimization and economics (7 articles)
-
37N99 None of the above, but in this section (3 articles)
-
39 Difference and functional equations (427 articles)
-
39 Difference and functional equations
-
39-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
39-01 Instructional exposition (textbooks, tutorial papers, etc.) (3 articles)
-
39-02 Research exposition (monographs, survey articles) (1 articles)
-
39-03 Historical (must also be assigned at least one classification number from Section 01) (3 articles)
-
39-04 Explicit machine computation and programs (not the theory of computation or programming)
-
39-06 Proceedings, conferences, collections, etc.
-
39.0 (1940-1958) Difference equations, functional equations
-
39.00 (1959-1972) General (2 articles)
-
39.1 (1940-1958) Functional equations and operational calculus
-
39.10 (1959-1972) Finite differences, general
-
39.2 (1940-1958) Special functional equations
-
39.20 (1959-1972) Difference equations
-
39.25 (1959-1972) Discrete analogues of topics in analysis (1 articles)
-
39.30 (1959-1972) Functional equations, general
-
39.31 (1959-1972) Classical functional equations
-
39.33 (1959-1972) Linear and multilinear functional equations
-
39.35 (1959-1972) Functional equations in several variables, systems
-
39.37 (1959-1972) Matrix functional equations
-
39.38 (1959-1972) Functional equations on abstract structures
-
39.99 (1959-1972) None of the above, but in this section
-
39Axx Difference equations (271 articles)
-
39Axx Difference equations (1 articles)
-
39A05 General (11 articles)
-
39A10 Difference equations, additive (113 articles)
-
39A11 Stability and asymptotics of difference equations; oscillatory and periodic solutions, etc. (53 articles)
-
39A12 Discrete version of topics in analysis (57 articles)
-
39A13 Difference equations, scaling ($q$-differences) (11 articles)
-
39A20 Multiplicative and other generalized difference equations, e.g. of Lyness type (8 articles)
-
39A70 Difference operators (10 articles)
-
39A99 None of the above, but in this section (7 articles)
-
39Bxx Functional equations and inequalities (146 articles)
-
39Bxx Functional equations and inequalities
-
39B05 General (12 articles)
-
39B12 Iteration theory, iterative and composite equations (21 articles)
-
39B22 Equations for real functions (26 articles)
-
39B32 Equations for complex functions (9 articles)
-
39B42 Matrix and operator equations (3 articles)
-
39B52 Equations for functions with more general domains and/or ranges (14 articles)
-
39B55 Orthogonal additivity and other conditional equations
-
39B62 Functional inequalities, including subadditivity, convexity, etc. (13 articles)
-
39B72 Systems of functional equations and inequalities (11 articles)
-
39B82 Stability, separation, extension, and related topics (12 articles)
-
39B99 None of the above, but in this section (25 articles)
-
40 Sequences, series, summability (282 articles)
-
40 Sequences, series, summability
-
40-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
40-01 Instructional exposition (textbooks, tutorial papers, etc.) (2 articles)
-
40-02 Research exposition (monographs, survey articles)
-
40-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
40-04 Explicit machine computation and programs (not the theory of computation or programming)
-
40-06 Proceedings, conferences, collections, etc.
-
40.0 (1940-1958) Sequences, series, summability
-
40.00 (1959-1972) General (6 articles)
-
40.10 (1959-1972) Series and sequences of numbers, general
-
40.11 (1959-1972) Infinite products
-
40.12 (1959-1972) Continued fractions (1 articles)
-
40.13 (1959-1972) Convergence and divergence (3 articles)
-
40.15 (1959-1972) Multiple series and sequences
-
40.20 (1959-1972) Sequences and series of functions, convergence
-
40.30 (1959-1972) Summability, general methods
-
40.31 (1959-1972) Summability, matrix methods
-
40.32 (1959-1972) Ces`aro summability
-
40.33 (1959-1972) Abel, Poisson summability
-
40.35 (1959-1972) Summability of double series
-
40.40 (1959-1972) Convergence and summability of integrals
-
40.42 (1959-1972) Tauberian theorems
-
40.46 (1959-1972) Functional-analytic methods in summability theory (1 articles)
-
40.50 (1959-1972) Summability in topological groups, linear spaces, etc.
-
40.99 (1959-1972) None of the above, but in this section
-
40Axx Convergence and divergence of infinite limiting processes (120 articles)
-
40Axx Convergence and divergence of infinite limiting processes
-
40A05 Convergence and divergence of series and sequences (85 articles)
-
40A10 Convergence and divergence of integrals (2 articles)
-
40A15 Convergence and divergence of continued fractions (3 articles)
-
40A20 Convergence and divergence of infinite products (1 articles)
-
40A25 Approximation to limiting values (summation of series, etc.) (8 articles)
-
40A30 Convergence and divergence of series and sequences of functions (17 articles)
-
40A99 None of the above, but in this section (4 articles)
-
40B05 Multiple sequences and series (3 articles)
-
40Cxx General summability methods (43 articles)
-
40Cxx General summability methods
-
40C05 Matrix methods (29 articles)
-
40C10 Integral methods (3 articles)
-
40C15 Function-theoretic methods (including power series methods and semicontinuous methods) (5 articles)
-
40C99 None of the above, but in this section (6 articles)
-
40Dxx Direct theorems on summability (24 articles)
-
40Dxx Direct theorems on summability
-
40D05 General theorems (6 articles)
-
40D09 Structure of summability fields (1 articles)
-
40D10 Tauberian constants and oscillation limits
-
40D15 Convergence factors and summability factors (2 articles)
-
40D20 Summability and bounded fields of methods (3 articles)
-
40D25 Inclusion and equivalence theorems (11 articles)
-
40D99 None of the above, but in this section (1 articles)
-
40Exx Inversion theorems (10 articles)
-
40Exx Inversion theorems
-
40E05 Tauberian theorems, general (9 articles)
-
40E10 Growth estimates (1 articles)
-
40E15 Lacunary inversion theorems
-
40E20 Tauberian constants
-
40E99 None of the above, but in this section
-
40F05 Absolute and strong summability (14 articles)
-
40Gxx Special methods of summability (25 articles)
-
40Gxx Special methods of summability (1 articles)
-
40G05 Cesàro, Euler, Nörlund and Hausdorff methods (13 articles)
-
40G10 Abel, Borel and power series methods (3 articles)
-
40G99 None of the above, but in this section (8 articles)
-
40H05 Functional analytic methods in summability (16 articles)
-
40J05 Summability in abstract structures (11 articles)
-
41 Approximations and expansions (353 articles)
-
41 Approximations and expansions
-
41-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
41-01 Instructional exposition (textbooks, tutorial papers, etc.) (3 articles)
-
41-02 Research exposition (monographs, survey articles)
-
41-03 Historical (must also be assigned at least one classification number from Section 01)
-
41-04 Explicit machine computation and programs (not the theory of computation or programming)
-
41-06 Proceedings, conferences, collections, etc.
-
41.00 (1959-1972) General (4 articles)
-
41.1 (1940-1958) Polynomials, polynomial approximation
-
41.10 (1959-1972) Interpolation
-
41.15 (1959-1972) Polynomial approximation
-
41.17 (1959-1972) Approximation by rational functions
-
41.30 (1959-1972) Approximation by other special function classes (1 articles)
-
41.35 (1959-1972) Approximation by operators (in particular, by integral operators)
-
41.40 (1959-1972) Best approximation
-
41.41 (1959-1972) Degree of approximation, rate of convergence
-
41.44 (1959-1972) Approximate quadratures
-
41.50 (1959-1972) Asymptotic expansions
-
41.55 (1959-1972) Constructive theory of functions
-
41.60 (1959-1972) Abstract approximation theory, approximation in normed linear spaces and other abstract spaces (1 articles)
-
41.99 (1959-1972) None of the above, but in this section
-
41A05 Interpolation (39 articles)
-
41A10 Approximation by polynomials (28 articles)
-
41A15 Spline approximation (42 articles)
-
41A17 Inequalities in approximation (Bernstein, Jackson, Nikolcprime skiui-type inequalities) (5 articles)
-
41A20 Approximation by rational functions (5 articles)
-
41A21 Padé approximation
-
41A25 Rate of convergence, degree of approximation (22 articles)
-
41A27 Inverse theorems
-
41A28 Simultaneous approximation (3 articles)
-
41A29 Approximation with constraints (5 articles)
-
41A30 Approximation by other special function classes (22 articles)
-
41A35 Approximation by operators (in particular, by integral operators) (15 articles)
-
41A36 Approximation by positive operators (24 articles)
-
41A40 Saturation
-
41A44 Best constants
-
41A45 Approximation by arbitrary linear expressions (6 articles)
-
41A46 Approximation by arbitrary nonlinear expressions; widths and entropy (4 articles)
-
41A50 Best approximation, Chebyshev systems (27 articles)
-
41A52 Uniqueness of best approximation (3 articles)
-
41A55 Approximate quadratures (12 articles)
-
41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) (6 articles)
-
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (8 articles)
-
41A63 Multidimensional problems (should also be assigned at least one other classification number in this section) (16 articles)
-
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (45 articles)
-
41A80 Remainders in approximation formulas (3 articles)
-
41A99 Miscellaneous topics (3 articles)
-
42 Fourier analysis (410 articles)
-
42 Fourier analysis
-
42-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
42-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
42-02 Research exposition (monographs, survey articles)
-
42-03 Historical (must also be assigned at least one classification number from Section 01)
-
42-04 Explicit machine computation and programs (not the theory of computation or programming)
-
42-06 Proceedings, conferences, collections, etc.
-
42.00 (1959-1972) General (6 articles)
-
42.05 (1959-1972) Trigonometric polynomials (1 articles)
-
42.06 (1959-1972) Best approximation by trigonometric polynomials
-
42.08 (1959-1972) Trigonometric interpolation
-
42.1 (1940-1958) Interpolation, approximation, orthogonal functions
-
42.10 (1959-1972) Fourier coefficients
-
42.11 (1959-1972) Convergence of Fourier series
-
42.12 (1959-1972) Absolute convergence of Fourier series
-
42.15 (1959-1972) Orthogonal functions and polynomials, general (2 articles)
-
42.16 (1959-1972) Expansions in orthogonal functions and polynomials (1 articles)
-
42.17 (1959-1972) Completeness of sets of orthogonal functions
-
42.18 (1959-1972) Completeness, closure, spectral synthesis
-
42.2 (1940-1958) Trigonometric series and integrals
-
42.20 (1959-1972) Summability of Fourier and generalized Fourier expansions (1 articles)
-
42.25 (1959-1972) Fourier transform (1 articles)
-
42.26 (1959-1972) Other Fourier-type transforms
-
42.27 (1959-1972) Trigonometric moment problems
-
42.3 (1940-1958) Fourier series and generalizations, theory of approximation
-
42.30 (1959-1972) Almost periodic functions
-
42.35 (1959-1972) Positive definite functions
-
42.4 (1940-1958) Fourier series, integral transforms
-
42.40 (1959-1972) Multiple Fourier series and integrals
-
42.50 (1959-1972) Abstract harmonic analysis (Fourier analysis on LCA groups) (1 articles)
-
42.51 (1959-1972) Characters, duality
-
42.52 (1959-1972) Fourier-Stieltjes transform
-
42.53 (1959-1972) Abstract almost periodic functions
-
42.54 (1959-1972) Positive definite functions on LCA groups
-
42.55 (1959-1972) Convolution, factorization
-
42.56 (1959-1972) Measure algebras, group algebras (2 articles)
-
42.58 (1959-1972) Ideals, spectral synthesis
-
42.99 (1959-1972) None of the above, but in this section (1 articles)
-
42Axx Fourier analysis in one variable (129 articles)
-
42Axx Fourier analysis in one variable
-
42A05 Trigonometric polynomials, inequalities, extremal problems (5 articles)
-
42A10 Trigonometric approximation (8 articles)
-
42A15 Trigonometric interpolation (3 articles)
-
42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series (21 articles)
-
42A20 Convergence and absolute convergence of Fourier and trigonometric series (20 articles)
-
42A24 Summability and absolute summability of Fourier and trigonometric series (5 articles)
-
42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (8 articles)
-
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (19 articles)
-
42A45 Multipliers (1 articles)
-
42A50 Conjugate functions, conjugate series, singular integrals (6 articles)
-
42A55 Lacunary series of trigonometric and other functions; Riesz products
-
42A61 Probabilistic methods (1 articles)
-
42A63 Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (2 articles)
-
42A65 Completeness of sets of functions
-
42A70 Trigonometric moment problems (1 articles)
-
42A75 Classical almost periodic functions, mean periodic functions (21 articles)
-
42A82 Positive definite functions (2 articles)
-
42A85 Convolution, factorization (2 articles)
-
42A99 None of the above, but in this section (4 articles)
-
42Bxx Fourier analysis in several variables (209 articles)
-
42Bxx Fourier analysis in several variables
-
42B05 Fourier series and coefficients (6 articles)
-
42B08 Summability (2 articles)
-
42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (9 articles)
-
42B15 Multipliers (15 articles)
-
42B20 Singular integrals (Calderón-Zygmund, etc.) (35 articles)
-
42B25 Maximal functions, Littlewood-Paley theory (73 articles)
-
42B30 $H^p$-spaces (21 articles)
-
42B35 Function spaces arising in harmonic analysis (41 articles)
-
42B99 None of the above, but in this section (7 articles)
-
42Cxx Nontrigonometric Fourier analysis (56 articles)
-
42Cxx Nontrigonometric Fourier analysis
-
42C05 Orthogonal functions and polynomials, general theory (8 articles)
-
42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (10 articles)
-
42C15 Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions (17 articles)
-
42C20 Rearrangements and other transformations of Fourier and other orthogonal series (4 articles)
-
42C25 Uniqueness and localization for orthogonal series
-
42C30 Completeness of sets of functions (1 articles)
-
42C40 Wavelets (15 articles)
-
42C99 None of the above, but in this section (1 articles)
-
43 Abstract harmonic analysis (105 articles)
-
43 Abstract harmonic analysis
-
43-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
43-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
43-02 Research exposition (monographs, survey articles) (2 articles)
-
43-03 Historical (must also be assigned at least one classification number from Section 01)
-
43-04 Explicit machine computation and programs (not the theory of computation or programming)
-
43-06 Proceedings, conferences, collections, etc.
-
43A05 Measures on groups and semigroups, etc. (9 articles)
-
43A07 Means on groups, semigroups, etc.; amenable groups (10 articles)
-
43A10 Measure algebras on groups, semigroups, etc. (4 articles)
-
43A15 $L^p$-spaces and other function spaces on groups, semigroups, etc. (11 articles)
-
43A17 Analysis on ordered groups, $ (1 articles)
-
43A20 $L^1$-algebras on groups, semigroups, etc. (9 articles)
-
43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
-
43A25 Fourier and Fourier-Stieltjes transforms on locally compact abelian groups (6 articles)
-
43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (1 articles)
-
43A32 Other transforms and operators of Fourier type (5 articles)
-
43A35 Positive definite functions on groups, semigroups, etc. (5 articles)
-
43A40 Character groups and dual objects (4 articles)
-
43A45 Spectral synthesis on groups, semigroups, etc.
-
43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (7 articles)
-
43A50 Convergence of Fourier series and of inverse transforms
-
43A55 Summability methods on groups, semigroups, etc.
-
43A60 Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (11 articles)
-
43A62 Hypergroups (1 articles)
-
43A65 Representations of groups, semigroups, etc. (4 articles)
-
43A70 Analysis on specific locally compact abelian groups
-
43A75 Analysis on specific compact groups
-
43A77 Analysis on general compact groups
-
43A80 Analysis on other specific Lie groups (3 articles)
-
43A85 Analysis on homogeneous spaces (10 articles)
-
43A90 Spherical functions (1 articles)
-
43A95 Categorical methods
-
43A99 Miscellaneous topics (1 articles)
-
44 Integral transforms, operational calculus (102 articles)
-
44 Integral transforms, operational calculus
-
44-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
44-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
44-02 Research exposition (monographs, survey articles)
-
44-03 Historical (must also be assigned at least one classification number from Section 01)
-
44-04 Explicit machine computation and programs (not the theory of computation or programming)
-
44-06 Proceedings, conferences, collections, etc.
-
44.0 (1940-1958) Integral transforms, operational calculus
-
44.00 (1959-1972) General (2 articles)
-
44.10 (1959-1972) Laplace transform (1 articles)
-
44.25 (1959-1972) Convolution
-
44.28 (1959-1972) General transforms
-
44.30 (1959-1972) Special transforms. Legendre, Hilbert, etc.
-
44.32 (1959-1972) Multiple transforms
-
44.33 (1959-1972) Transforms of special functions
-
44.40 (1959-1972) Operational calculus (2 articles)
-
44.42 (1959-1972) Operational calculus in several variables
-
44.50 (1959-1972) Fractional integrals
-
44.60 (1959-1972) Moment problems
-
44.99 (1959-1972) None of the above, but in this section
-
44A05 General transforms (6 articles)
-
44A10 Laplace transform (28 articles)
-
44A12 Radon transform (4 articles)
-
44A15 Special transforms (Legendre, Hilbert, etc.) (26 articles)
-
44A20 Transforms of special functions (6 articles)
-
44A30 Multiple transforms (1 articles)
-
44A35 Convolution (9 articles)
-
44A40 Calculus of Mikusi\'nski and other operational calculi (2 articles)
-
44A45 Classical operational calculus (1 articles)
-
44A55 Discrete operational calculus (2 articles)
-
44A60 Moment problems (9 articles)
-
44A99 Miscellaneous topics (2 articles)
-
45 Integral equations (338 articles)
-
45 Integral equations
-
45-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (2 articles)
-
45-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
45-02 Research exposition (monographs, survey articles) (1 articles)
-
45-03 Historical (must also be assigned at least one classification number from Section 01) (1 articles)
-
45-04 Explicit machine computation and programs (not the theory of computation or programming)
-
45-06 Proceedings, conferences, collections, etc.
-
45.0 (1940-1958) Integral and integro-differential equations, equations in infinitely many variables
-
45.00 (1959-1972) General (3 articles)
-
45.10 (1959-1972) Linear integral equations, general
-
45.11 (1959-1972) Fredholm equations
-
45.12 (1959-1972) Eigenvalue problems
-
45.13 (1959-1972) Volterra equations
-
45.15 (1959-1972) Singular equations
-
45.20 (1959-1972) Systems of linear equations
-
45.25 (1959-1972) Dual and triple integral equations, and generalizations
-
45.30 (1959-1972) Nonlinear integral equations
-
45.31 (1959-1972) Singular nonlinear equations
-
45.33 (1959-1972) Miscellaneous special kernels
-
45.40 (1959-1972) Integro-differential equations, ordinary (1 articles)
-
45.45 (1959-1972) Integro-partial differential equations
-
45.99 (1959-1972) None of the above, but in this section
-
45A05 Linear integral equations (8 articles)
-
45B05 Fredholm integral equations (13 articles)
-
45C05 Eigenvalue problems (6 articles)
-
45D05 Volterra integral equations (38 articles)
-
45Exx Singular integral equations (20 articles)
-
45Exx Singular integral equations (1 articles)
-
45E05 Integral equations with kernels of Cauchy type (10 articles)
-
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (6 articles)
-
45E99 None of the above, but in this section (3 articles)
-
45Fxx Systems of linear integral equations (4 articles)
-
45Fxx Systems of linear integral equations
-
45F05 Systems of nonsingular linear integral equations (2 articles)
-
45F10 Dual, triple, etc., integral and series equations
-
45F15 Systems of singular linear integral equations (2 articles)
-
45F99 None of the above, but in this section
-
45Gxx Nonlinear integral equations (67 articles)
-
45Gxx Nonlinear integral equations (2 articles)
-
45G05 Singular nonlinear integral equations (6 articles)
-
45G10 Other nonlinear integral equations (56 articles)
-
45G15 Systems of nonlinear integral equations (3 articles)
-
45H05 Miscellaneous special kernels (10 articles)
-
45J05 Integro-ordinary differential equations (30 articles)
-
45K05 Integro-partial differential equations (47 articles)
-
45L05 Theoretical approximation of solutions (19 articles)
-
45Mxx Qualitative behavior (17 articles)
-
45N05 Abstract integral equations, integral equations in abstract spaces (36 articles)
-
45P05 Integral operators (14 articles)
-
45Q05 Inverse problems (1 articles)
-
45R05 Random integral equations
-
46 Functional analysis (2719 articles)
-
46 Functional analysis
-
46-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (7 articles)
-
46-01 Instructional exposition (textbooks, tutorial papers, etc.) (10 articles)
-
46-02 Research exposition (monographs, survey articles)
-
46-03 Historical (must also be assigned at least one classification number from Section 01) (8 articles)
-
46-04 Explicit machine computation and programs (not the theory of computation or programming)
-
46-06 Proceedings, conferences, collections, etc.
-
46.0 (1940-1958) Functional analysis
-
46.00 (1959-1972) General (14 articles)
-
46.01 (1959-1972) Topological linear spaces (12 articles)
-
46.06 (1959-1972) Ordered TLS; vector lattices (1 articles)
-
46.1 (1940-1958) Topological vector spaces
-
46.10 (1959-1972) Normed linear spaces, Banach spaces (8 articles)
-
46.15 (1959-1972) Inner product spaces, Hilbert spaces, spaces with an indefinite metric
-
46.2 (1940-1958) Banach spaces, Banach algebras, Hilbert space
-
46.20 (1959-1972) Other special spaces (2 articles)
-
46.25 (1959-1972) Spaces of continuous functions (5 articles)
-
46.3 (1940-1958) Differential and integral equations, functional analysis, ergodic theory
-
46.30 (1959-1972) Spaces of differentiable and analytic functions
-
46.35 (1959-1972) Spaces of measurable functions; $L^p$ spaces, Orlicz spaces
-
46.38 (1959-1972) Sobolev spaces, embedding theorems, interpolation spaces (6 articles)
-
46.40 (1959-1972) Distributions, generalized functions (7 articles)
-
46.45 (1959-1972) Derivatives and differentials in abstract spaces (3 articles)
-
46.50 (1959-1972) Topological algebras; normed rings and algebras, Banach algebras. general theory
-
46.55 (1959-1972) Commutative Banach algebras; function algebras (5 articles)
-
46.60 (1959-1972) Rings and algebras with an involution, $*$-algebras. general theory
-
46.65 (1959-1972) Rings and algebras of operators (with or without involution); $C^*$-algebras, von Neumann algebras (1 articles)
-
46.80 (1959-1972) Group algebras, convolution algebras
-
46.90 (1959-1972) Miscellaneous applications of functional analysis (1 articles)
-
46.99 (1959-1972) None of the above, but in this section
-
46Axx Topological linear spaces and related structures (463 articles)
-
46Axx Topological linear spaces and related structures (15 articles)
-
46A03 General theory of locally convex spaces (27 articles)
-
46A04 Locally convex Fréchet spaces and (DF)-spaces (23 articles)
-
46A08 Barrelled spaces, bornological spaces (14 articles)
-
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (8 articles)
-
46A13 Spaces defined by inductive or projective limits (LB, LF, etc.) (21 articles)
-
46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (21 articles)
-
46A17 Bornologies and related structures; Mackey convergence, etc. (6 articles)
-
46A19 Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than $ (15 articles)
-
46A20 Duality theory (21 articles)
-
46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators (14 articles)
-
46A25 Reflexivity and semi-reflexivity (9 articles)
-
46A30 Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness) (25 articles)
-
46A32 Spaces of linear operators; topological tensor products; approximation properties (18 articles)
-
46A35 Summability and bases (3 articles)
-
46A40 Ordered topological linear spaces, vector lattices (77 articles)
-
46A45 Sequence spaces (including Köthe sequence spaces) (53 articles)
-
46A50 Compactness in topological linear spaces; angelic spaces, etc. (8 articles)
-
46A55 Convex sets in topological linear spaces; Choquet theory (46 articles)
-
46A61 Graded Fréchet spaces and tame operators
-
46A63 Topological invariants ((DN), ($Omega$), etc.)
-
46A70 Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) (5 articles)
-
46A80 Modular spaces (7 articles)
-
46A99 None of the above, but in this section (27 articles)
-
46Bxx Normed linear spaces and Banach spaces; Banach lattices (683 articles)
-
46Bxx Normed linear spaces and Banach spaces; Banach lattices (34 articles)
-
46B03 Isomorphic theory (including renorming) of Banach spaces (35 articles)
-
46B04 Isometric theory of Banach spaces (13 articles)
-
46B07 Local theory of Banach spaces (13 articles)
-
46B08 Ultraproduct techniques in Banach space theory
-
46B09 Probabilistic methods in Banach space theory (3 articles)
-
46B10 Duality and reflexivity (54 articles)
-
46B15 Summability and bases (25 articles)
-
46B20 Geometry and structure of normed linear spaces (196 articles)
-
46B22 Radon-Nikodym, Krein-Milman and related properties (26 articles)
-
46B25 Classical Banach spaces in the general theory (56 articles)
-
46B26 Nonseparable Banach spaces (17 articles)
-
46B28 Spaces of operators; tensor products; approximation properties (42 articles)
-
46B40 Ordered normed spaces (21 articles)
-
46B42 Banach lattices (50 articles)
-
46B45 Banach sequence spaces (29 articles)
-
46B50 Compactness in Banach (or normed) spaces (9 articles)
-
46B70 Interpolation between normed linear spaces (7 articles)
-
46B99 None of the above, but in this section (53 articles)
-
46Cxx Inner product spaces and their generalizations, Hilbert spaces (59 articles)
-
46Cxx Inner product spaces and their generalizations, Hilbert spaces (3 articles)
-
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (23 articles)
-
46C07 Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (2 articles)
-
46C15 Characterizations of Hilbert spaces (6 articles)
-
46C20 Spaces with indefinite inner product (Krein spaces, Pontryagin spaces, etc.) (3 articles)
-
46C50 Generalizations of inner products (semi-inner products, partial inner products, etc.) (4 articles)
-
46C99 None of the above, but in this section (18 articles)
-
46Exx Linear function spaces and their duals (570 articles)
-
46Exx Linear function spaces and their duals (8 articles)
-
46E05 Lattices of continuous, differentiable or analytic functions (10 articles)
-
46E10 Topological linear spaces of continuous, differentiable or analytic functions (27 articles)
-
46E15 Banach spaces of continuous, differentiable or analytic functions (50 articles)
-
46E20 Hilbert spaces of continuous, differentiable or analytic functions (3 articles)
-
46E22 Hilbert spaces with reproducing kernels (= (10 articles)
-
46E25 Rings and algebras of continuous, differentiable or analytic functions (18 articles)
-
46E27 Spaces of measures (12 articles)
-
46E30 Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (192 articles)
-
46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems (162 articles)
-
46E39 Sobolev (and similar kinds of) spaces of functions of discrete variables (1 articles)
-
46E40 Spaces of vector- and operator-valued functions (53 articles)
-
46E50 Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (3 articles)
-
46E99 None of the above, but in this section (21 articles)
-
46Fxx Distributions, generalized functions, distribution spaces (118 articles)
-
46Fxx Distributions, generalized functions, distribution spaces (2 articles)
-
46F05 Topological linear spaces of test functions, distributions and ultradistributions (22 articles)
-
46F10 Operations with distributions (38 articles)
-
46F12 Integral transforms in distribution spaces (22 articles)
-
46F15 Hyperfunctions, analytic functionals (4 articles)
-
46F20 Distributions and ultradistributions as boundary values of analytic functions (3 articles)
-
46F25 Distributions on infinite-dimensional spaces (2 articles)
-
46F30 Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (15 articles)
-
46F99 None of the above, but in this section (10 articles)
-
46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (248 articles)
-
46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (3 articles)
-
46G05 Derivatives (74 articles)
-
46G10 Vector-valued measures and integration (121 articles)
-
46G12 Measures and integration on abstract linear spaces (17 articles)
-
46G15 Functional analytic lifting theory (2 articles)
-
46G20 Infinite-dimensional holomorphy (17 articles)
-
46G25 (Spaces of) multilinear mappings, polynomials (9 articles)
-
46G99 None of the above, but in this section (5 articles)
-
46Hxx Topological algebras, normed rings and algebras, Banach algebras (105 articles)
-
46Hxx Topological algebras, normed rings and algebras, Banach algebras (2 articles)
-
46H05 General theory of topological algebras (41 articles)
-
46H10 Ideals and subalgebras (11 articles)
-
46H15 Representations of topological algebras (2 articles)
-
46H20 Structure, classification of topological algebras (14 articles)
-
46H25 Normed modules and Banach modules, topological modules (if not placed in 13-xx or 16-xx) (15 articles)
-
46H30 Functional calculus in topological algebras (7 articles)
-
46H35 Topological algebras of operators (1 articles)
-
46H40 Automatic continuity (4 articles)
-
46H70 Nonassociative topological algebras (3 articles)
-
46H99 None of the above, but in this section (5 articles)
-
46Jxx Commutative Banach algebras and commutative topological algebras (64 articles)
-
46Jxx Commutative Banach algebras and commutative topological algebras (2 articles)
-
46J05 General theory of commutative topological algebras (5 articles)
-
46J10 Banach algebras of continuous functions, function algebras (35 articles)
-
46J15 Banach algebras of differentiable or analytic functions, $ (9 articles)
-
46J20 Ideals, maximal ideals, boundaries (8 articles)
-
46J25 Representations of commutative topological algebras
-
46J30 Subalgebras
-
46J40 Structure, classification of commutative topological algebras (1 articles)
-
46J45 Radical Banach algebras
-
46J99 None of the above, but in this section (4 articles)
-
46Kxx Topological (rings and) algebras with an involution (21 articles)
-
46Kxx Topological (rings and) algebras with an involution
-
46K05 General theory of topological algebras with involution (14 articles)
-
46K10 Representations of topological algebras with involution (1 articles)
-
46K15 Hilbert algebras (2 articles)
-
46K50 Nonselfadjoint (sub)algebras in algebras with involution
-
46K70 Nonassociative topological algebras with an involution (1 articles)
-
46K99 None of the above, but in this section (3 articles)
-
46Lxx Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) (112 articles)
-
46Lxx Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.)
-
46L05 General theory of $C^*$-algebras (27 articles)
-
46L06 Tensor products of $C^*$-algebras
-
46L07 Operator spaces and completely bounded maps (1 articles)
-
46L08 $C^*$-modules (2 articles)
-
46L09 Free products of $C^*$-algebras (1 articles)
-
46L10 General theory of von Neumann algebras (7 articles)
-
46L30 States (5 articles)
-
46L35 Classifications of $C^*$-algebras, factors (1 articles)
-
46L37 Subfactors and their classification
-
46L40 Automorphisms (2 articles)
-
46L45 Decomposition theory for $C^*$-algebras (1 articles)
-
46L51 Noncommutative measure and integration (12 articles)
-
46L52 Noncommutative function spaces (1 articles)
-
46L53 Noncommutative probability and statistics (9 articles)
-
46L54 Free probability and free operator algebras (9 articles)
-
46L55 Noncommutative dynamical systems
-
46L57 Derivations, dissipations and positive semigroups in $C^*$-algebras (1 articles)
-
46L60 Applications of selfadjoint operator algebras to physics (2 articles)
-
46L65 Quantizations, deformations (1 articles)
-
46L70 Nonassociative selfadjoint operator algebras (5 articles)
-
46L80 $K$-theory and operator algebras (including cyclic theory) (3 articles)
-
46L85 Noncommutative topology (6 articles)
-
46L87 Noncommutative differential geometry (5 articles)
-
46L89 Other ``noncommutative'' mathematics based on $C^*$-algebra theory (3 articles)
-
46L99 None of the above, but in this section (8 articles)
-
46Mxx Methods of category theory in functional analysis (81 articles)
-
46Mxx Methods of category theory in functional analysis
-
46M05 Tensor products (23 articles)
-
46M07 Ultraproducts
-
46M10 Projective and injective objects (6 articles)
-
46M15 Categories, functors (15 articles)
-
46M18 Homological methods (exact sequences, right inverses, lifting, etc.) (2 articles)
-
46M20 Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) (6 articles)
-
46M35 Abstract interpolation of topological vector spaces (14 articles)
-
46M40 Inductive and projective limits (11 articles)
-
46M99 None of the above, but in this section (4 articles)
-
46Nxx Miscellaneous applications of functional analysis (64 articles)
-
46Nxx Miscellaneous applications of functional analysis (1 articles)
-
46N10 Applications in optimization, convex analysis, mathematical programming, economics (27 articles)
-
46N20 Applications to differential and integral equations (10 articles)
-
46N30 Applications in probability theory and statistics (4 articles)
-
46N40 Applications in numerical analysis (6 articles)
-
46N50 Applications in quantum physics (8 articles)
-
46N55 Applications in statistical physics
-
46N60 Applications in biology and other sciences
-
46N99 None of the above, but in this section (8 articles)
-
46Sxx Other (nonclassical) types of functional analysis (24 articles)
-
46Sxx Other (nonclassical) types of functional analysis
-
46S10 Functional analysis over fields other than <B>R</B> or <B>C</B> or the quaternions; non-Archimedean functional analysis (13 articles)
-
46S20 Nonstandard functional analysis (4 articles)
-
46S30 Constructive functional analysis
-
46S40 Fuzzy functional analysis (4 articles)
-
46S50 Functional analysis in probabilistic metric linear spaces (1 articles)
-
46S60 Functional analysis on superspaces (supermanifolds) or graded spaces
-
46S99 None of the above, but in this section (2 articles)
-
46Txx Nonlinear functional analysis (17 articles)
-
46Txx Nonlinear functional analysis
-
46T05 Infinite-dimensional manifolds (2 articles)
-
46T10 Manifolds of mappings (1 articles)
-
46T12 Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (1 articles)
-
46T20 Continuous and differentiable maps (7 articles)
-
46T25 Holomorphic maps (2 articles)
-
46T30 Distributions and generalized functions on nonlinear spaces (2 articles)
-
46T99 None of the above, but in this section (2 articles)
-
47 Operator theory (2324 articles)
-
47 Operator theory
-
47-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (5 articles)
-
47-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
47-02 Research exposition (monographs, survey articles) (2 articles)
-
47-03 Historical (must also be assigned at least one classification number from Section 01) (3 articles)
-
47-04 Explicit machine computation and programs (not the theory of computation or programming)
-
47-06 Proceedings, conferences, collections, etc. (1 articles)
-
47.00 (1959-1972) General (1 articles)
-
47.10 (1959-1972) Single linear operators, general theory (8 articles)
-
47.20 (1959-1972) Operators in ordered spaces (4 articles)
-
47.25 (1959-1972) Operators in function spaces and other special spaces (2 articles)
-
47.30 (1959-1972) Spectral theory, functional calculus (3 articles)
-
47.35 (1959-1972) Reducibility, invariant subspaces (2 articles)
-
47.40 (1959-1972) Structure, classification, canonical forms
-
47.45 (1959-1972) Compact (completely continuous) operators
-
47.48 (1959-1972) Perturbation theory
-
47.50 (1959-1972) Semigroups and groups of operators (2 articles)
-
47.55 (1959-1972) Other systems of operators
-
47.60 (1959-1972) Ordinary differential operators (2 articles)
-
47.65 (1959-1972) Partial differential operators
-
47.69 (1959-1972) Difference operators
-
47.70 (1959-1972) Integral and integro-differential operators (1 articles)
-
47.80 (1959-1972) Nonlinear operators, general theory (4 articles)
-
47.85 (1959-1972) Fixed-point theorems (1 articles)
-
47.90 (1959-1972) Miscellaneous applications (1 articles)
-
47.99 (1959-1972) None of the above, but in this section
-
47Axx General theory of linear operators (420 articles)
-
47Axx General theory of linear operators (12 articles)
-
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (30 articles)
-
47A06 Linear relations (multivalued linear operators) (2 articles)
-
47A07 Forms (bilinear, sesquilinear, multilinear) (2 articles)
-
47A10 Spectrum, resolvent (71 articles)
-
47A11 Local spectral properties (15 articles)
-
47A12 Numerical range, numerical radius (9 articles)
-
47A13 Several-variable operator theory (spectral, Fredholm, etc.) (4 articles)
-
47A15 Invariant subspaces (19 articles)
-
47A16 Cyclic and hypercyclic vectors (10 articles)
-
47A20 Dilations, extensions, compressions (17 articles)
-
47A25 Spectral sets (4 articles)
-
47A30 Norms (inequalities, more than one norm, etc.) (21 articles)
-
47A35 Ergodic theory (26 articles)
-
47A40 Scattering theory (4 articles)
-
47A45 Canonical models for contractions and nonselfadjoint operators (10 articles)
-
47A46 Chains (nests) of projections or of invariant subspaces, integrals along chains, etc.
-
47A48 Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (1 articles)
-
47A50 Equations and inequalities involving linear operators, with vector unknowns (20 articles)
-
47A52 Ill-posed problems, regularization (1 articles)
-
47A53 (Semi-) Fredholm operators; index theories (31 articles)
-
47A55 Perturbation theory (22 articles)
-
47A56 Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) (2 articles)
-
47A57 Operator methods in interpolation, moment and extension problems (2 articles)
-
47A58 Operator approximation theory (3 articles)
-
47A60 Functional calculus (15 articles)
-
47A62 Equations involving linear operators, with operator unknowns (2 articles)
-
47A63 Operator inequalities (7 articles)
-
47A64 Operator means, shorted operators, etc. (1 articles)
-
47A65 Structure theory (8 articles)
-
47A66 Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators
-
47A67 Representation theory (2 articles)
-
47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) (6 articles)
-
47A70 (Generalized) eigenfunction expansions; rigged Hilbert spaces (14 articles)
-
47A75 Eigenvalue problems (12 articles)
-
47A80 Tensor products of operators (1 articles)
-
47A99 None of the above, but in this section (14 articles)
-
47Bxx Special classes of linear operators (471 articles)
-
47Bxx Special classes of linear operators (12 articles)
-
47B06 Riesz operators; eigenvalue distributions; approximation numbers, $s$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (21 articles)
-
47B07 Operators defined by compactness properties (16 articles)
-
47B10 Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) (44 articles)
-
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.) (25 articles)
-
47B20 Subnormal operators, hyponormal operators, etc. (14 articles)
-
47B25 Symmetric and selfadjoint operators (unbounded) (17 articles)
-
47B32 Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (3 articles)
-
47B33 Composition operators (16 articles)
-
47B34 Kernel operators (2 articles)
-
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators (35 articles)
-
47B36 Jacobi (tridiagonal) operators (matrices) and generalizations (2 articles)
-
47B37 Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (30 articles)
-
47B38 Operators on function spaces (general) (98 articles)
-
47B39 Difference operators (4 articles)
-
47B40 Spectral operators, decomposable operators, well-bounded operators, etc. (13 articles)
-
47B44 Accretive operators, dissipative operators, etc. (3 articles)
-
47B47 Commutators, derivations, elementary operators, etc. (23 articles)
-
47B48 Operators on Banach algebras (8 articles)
-
47B49 Transformers (= operators on spaces of operators) (2 articles)
-
47B50 Operators on spaces with an indefinite metric (3 articles)
-
47B60 Operators on ordered spaces (32 articles)
-
47B65 Positive operators and order-bounded operators (25 articles)
-
47B80 Random operators (1 articles)
-
47B99 None of the above, but in this section (22 articles)
-
47Cxx Individual linear operators as elements of algebraic systems (8 articles)
-
47Cxx Individual linear operators as elements of algebraic systems
-
47C05 Operators in algebras (4 articles)
-
47C10 Operators in $^*$-algebras (1 articles)
-
47C15 Operators in $C^*$- or von Neumann algebras (2 articles)
-
47C99 None of the above, but in this section (1 articles)
-
47Dxx Groups and semigroups of linear operators, their generalizations and applications (87 articles)
-
47Dxx Groups and semigroups of linear operators, their generalizations and applications (6 articles)
-
47D03 Groups and semigroups of linear operators (20 articles)
-
47D06 One-parameter semigroups and linear evolution equations (42 articles)
-
47D07 Markov semigroups and applications to diffusion processes (5 articles)
-
47D08 Schrödinger and Feynman-Kac semigroups
-
47D09 Operator sine and cosine functions and higher-order Cauchy problems (3 articles)
-
47D60 $C$-semigroups
-
47D62 Integrated semigroups (1 articles)
-
47D99 None of the above, but in this section (10 articles)
-
47E05 Ordinary differential operators (33 articles)
-
47F05 Partial differential operators (33 articles)
-
47Gxx Integral, integro-differential, and pseudodifferential operators (58 articles)
-
47Gxx Integral, integro-differential, and pseudodifferential operators (6 articles)
-
47G10 Integral operators (37 articles)
-
47G20 Integro-differential operators (7 articles)
-
47G30 Pseudodifferential operators (8 articles)
-
47G99 None of the above, but in this section
-
47Hxx Nonlinear operators and their properties (670 articles)
-
47Hxx Nonlinear operators and their properties (31 articles)
-
47H04 Set-valued operators (36 articles)
-
47H05 Monotone operators (with respect to duality) (56 articles)
-
47H06 Accretive operators, dissipative operators, etc. (16 articles)
-
47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (25 articles)
-
47H09 Nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness and condensing mappings, $A$-proper mappings, $K$-set contractions, etc.) (84 articles)
-
47H10 Fixed-point theorems (276 articles)
-
47H11 Degree theory (22 articles)
-
47H14 Perturbations of nonlinear operators (1 articles)
-
47H20 Semigroups of nonlinear operators (17 articles)
-
47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskii, Uryson, etc.) (35 articles)
-
47H40 Random operators (8 articles)
-
47H50 Potential operators
-
47H60 Multilinear and polynomial operators (3 articles)
-
47H99 None of the above, but in this section (60 articles)
-
47Jxx Equations and inequalities involving nonlinear operators (272 articles)
-
47Jxx Equations and inequalities involving nonlinear operators
-
47J05 Equations involving nonlinear operators (general) (116 articles)
-
47J06 Nonlinear ill-posed problems (2 articles)
-
47J07 Abstract inverse mapping and implicit function theorems (2 articles)
-
47J10 Nonlinear eigenvalue problems (17 articles)
-
47J15 Abstract bifurcation theory (9 articles)
-
47J20 Variational and other types of inequalities involving nonlinear operators (general) (23 articles)
-
47J25 Methods for solving nonlinear operator equations (general) (58 articles)
-
47J30 Variational methods (21 articles)
-
47J35 Nonlinear evolution equations (11 articles)
-
47J40 Equations with hysteresis operators (12 articles)
-
47J99 None of the above, but in this section (1 articles)
-
47Lxx Linear spaces and algebras of operators (71 articles)
-
47Lxx Linear spaces and algebras of operators (1 articles)
-
47L05 Linear spaces of operators (16 articles)
-
47L07 Convex sets and cones of operators (2 articles)
-
47L10 Algebras of operators on Banach spaces and other topological linear spaces (10 articles)
-
47L15 Operator algebras with symbol structure
-
47L20 Operator ideals (18 articles)
-
47L25 Operator spaces (= matricially normed spaces) (1 articles)
-
47L30 Abstract operator algebras on Hilbert spaces (8 articles)
-
47L35 Nest algebras, CSL algebras (5 articles)
-
47L40 Limit algebras, subalgebras of $C^*$-algebras
-
47L45 Dual algebras; weakly closed singly generated operator algebras (2 articles)
-
47L50 Dual spaces of operator algebras
-
47L55 Representations of (nonselfadjoint) operator algebras
-
47L60 Algebras of unbounded operators; partial algebras of operators (1 articles)
-
47L65 Crossed product algebras (analytic crossed products)
-
47L70 Nonassociative nonselfadjoint operator algebras
-
47L75 Other nonselfadjoint operator algebras (1 articles)
-
47L80 Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (2 articles)
-
47L90 Applications of operator algebras to physics (2 articles)
-
47L99 None of the above, but in this section (2 articles)
-
47Nxx Miscellaneous applications of operator theory (147 articles)
-
47Nxx Miscellaneous applications of operator theory
-
47N10 Applications in optimization, convex analysis, mathematical programming, economics (11 articles)
-
47N20 Applications to differential and integral equations (126 articles)
-
47N30 Applications in probability theory and statistics (2 articles)
-
47N40 Applications in numerical analysis
-
47N50 Applications in quantum physics (2 articles)
-
47N55 Applications in statistical physics
-
47N60 Applications in biology and other sciences
-
47N70 Applications in systems theory, circuits, etc. (5 articles)
-
47N99 None of the above, but in this section (1 articles)
-
47Sxx Other (nonclassical) types of operator theory (12 articles)
-
47Sxx Other (nonclassical) types of operator theory
-
47S10 Operator theory over fields other than <B>R</B>, <B>C</B> or the quaternions; non-Archimedean operator theory (5 articles)
-
47S20 Nonstandard operator theory
-
47S30 Constructive operator theory
-
47S40 Fuzzy operator theory (5 articles)
-
47S50 Operator theory in probabilistic metric linear spaces (2 articles)
-
47S99 None of the above, but in this section
-
48 (1940-1958) Geometry
-
48 (1940-1958) Geometry
-
48.0 (1940-1958) Geometry
-
49 Calculus of variations and optimal control; optimization (916 articles)
-
49 Calculus of variations and optimal control; optimization
-
49-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (2 articles)
-
49-01 Instructional exposition (textbooks, tutorial papers, etc.) (6 articles)
-
49-02 Research exposition (monographs, survey articles) (7 articles)
-
49-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
49-04 Explicit machine computation and programs (not the theory of computation or programming)
-
49-06 Proceedings, conferences, collections, etc.
-
49.0 (1940-1958) Calculus of variations
-
49.00 (1959-1972) General (3 articles)
-
49.10 (1959-1972) Calculus of variations
-
49.20 (1959-1972) Optimal control
-
49Jxx Existence theories (407 articles)
-
49Jxx Existence theories
-
49J05 Free problems in one independent variable (1 articles)
-
49J10 Free problems in two or more independent variables (12 articles)
-
49J15 Optimal control problems involving ordinary differential equations (22 articles)
-
49J20 Optimal control problems involving partial differential equations (59 articles)
-
49J22 Optimal control problems involving integral equations (1 articles)
-
49J24 Optimal control problems involving differential inclusions (16 articles)
-
49J25 Optimal control problems involving equations with retarded arguments (2 articles)
-
49J27 Problems in abstract spaces (22 articles)
-
49J30 Optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (8 articles)
-
49J35 Minimax problems (10 articles)
-
49J40 Variational methods including variational inequalities (124 articles)
-
49J45 Methods involving semicontinuity and convergence; relaxation (39 articles)
-
49J50 Fréchet and Gateaux differentiability (17 articles)
-
49J52 Nonsmooth analysis (43 articles)
-
49J53 Set-valued and variational analysis (13 articles)
-
49J55 Problems involving randomness (1 articles)
-
49J99 None of the above, but in this section (17 articles)
-
49Kxx Necessary conditions and sufficient conditions for optimality (146 articles)
-
49Kxx Necessary conditions and sufficient conditions for optimality (1 articles)
-
49K05 Free problems in one independent variable (4 articles)
-
49K10 Free problems in two or more independent variables (11 articles)
-
49K15 Problems involving ordinary differential equations (30 articles)
-
49K20 Problems involving partial differential equations (23 articles)
-
49K22 Problems involving integral equations (1 articles)
-
49K24 Problems involving differential inclusions (2 articles)
-
49K25 Problems involving equations with retarded arguments (4 articles)
-
49K27 Problems in abstract spaces (13 articles)
-
49K30 Optimal solutions belonging to restricted classes (4 articles)
-
49K35 Minimax problems (11 articles)
-
49K40 Sensitivity, stability, well-posedness (17 articles)
-
49K45 Problems involving randomness (9 articles)
-
49K99 None of the above, but in this section (16 articles)
-
49Lxx Hamilton-Jacobi theories, including dynamic programming (27 articles)
-
49Lxx Hamilton-Jacobi theories, including dynamic programming
-
49L20 Dynamic programming method (13 articles)
-
49L25 Viscosity solutions (2 articles)
-
49L99 None of the above, but in this section (12 articles)
-
49Mxx Methods of successive approximations (108 articles)
-
49Mxx Methods of successive approximations (2 articles)
-
49M05 Methods based on necessary conditions (6 articles)
-
49M15 Methods of Newton-Raphson, Galerkin and Ritz types (25 articles)
-
49M20 Methods of relaxation type (3 articles)
-
49M25 Discrete approximations (15 articles)
-
49M27 Decomposition methods (6 articles)
-
49M29 Methods involving duality (4 articles)
-
49M30 Other methods, not based on necessary conditions (penalty function, etc.) (19 articles)
-
49M37 Methods of nonlinear programming type (20 articles)
-
49M99 None of the above, but in this section (8 articles)
-
49Nxx Miscellaneous topics (105 articles)
-
49Qxx Manifolds (66 articles)
-
49Qxx Manifolds
-
49Q05 Minimal surfaces (7 articles)
-
49Q10 Optimization of shapes other than minimal surfaces (25 articles)
-
49Q12 Sensitivity analysis (4 articles)
-
49Q15 Geometric measure and integration theory, integral and normal currents (8 articles)
-
49Q20 Variational problems in a geometric measure-theoretic setting (17 articles)
-
49Q99 None of the above, but in this section (5 articles)
-
49R50 Variational methods for eigenvalues of operators [See also 47A75] (15 articles)
-
49S05 Variational principles of physics (22 articles)
-
50 (1940-1979) Geometry (38 articles)
-
50 (1940-1979) Geometry
-
50-00 (1973-1979) Difficult to classify at the second level (must be assigned at least one other classification number in this section) (7 articles)
-
50-01 (1973-1979) Elementary exposition (collegiate level)
-
50-02 (1973-1979) Advanced exposition (research surveys, etc.)
-
50-03 (1973-1979) Historical (1 articles)
-
50-04 (1973-1979) Explicit machine computation and programs (not the theory of computation or programming)
-
50-06 (1973-1979) Collections of papers; proceedings of conferences
-
50.0 (1940-1958) Geometries, Euclidean and other
-
50.00 (1959-1972) General (6 articles)
-
50.05 (1959-1972) Foundations
-
50.10 (1959-1972) Euclidean (1 articles)
-
50.14 (1959-1972) Constructions (2 articles)
-
50.20 (1959-1972) Affine geometry, general (1 articles)
-
50.25 (1959-1972) Transformations (2 articles)
-
50.30 (1959-1972) Projective geometry, general (3 articles)
-
50.35 (1959-1972) Transformations (3 articles)
-
50.38 (1959-1972) Second-order loci
-
50.40 (1959-1972) Non-Euclidean geometry (i.e. hyperbolic or elliptic) (2 articles)
-
50.48 (1959-1972) Special geometries (1 articles)
-
50.60 (1959-1972) Finite geometries (1 articles)
-
50.70 (1959-1972) Projective planes (2 articles)
-
50.90 (1959-1972) Regular figures, divisions of space (6 articles)
-
50.99 (1959-1972) None of the above, but in this section
-
51 Geometry (528 articles)
-
51 Geometry
-
51-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
51-01 Instructional exposition (textbooks, tutorial papers, etc.) (13 articles)
-
51-02 Research exposition (monographs, survey articles) (5 articles)
-
51-03 Historical (must also be assigned at least one classification number from Section 01) (24 articles)
-
51-04 Explicit machine computation and programs (not the theory of computation or programming) (4 articles)
-
51-06 Proceedings, conferences, collections, etc. (1 articles)
-
51Axx Linear incidence geometry (87 articles)
-
51Axx Linear incidence geometry (4 articles)
-
51A05 General theory and projective geometries (5 articles)
-
51A10 Homomorphism, automorphism and dualities (6 articles)
-
51A15 Structures with parallelism (9 articles)
-
51A20 Configuration theorems (8 articles)
-
51A25 Algebraization (21 articles)
-
51A30 Desarguesian and Pappian geometries (5 articles)
-
51A35 Non-Desarguesian affine and projective planes (8 articles)
-
51A40 Translation planes and spreads (5 articles)
-
51A45 Incidence structures imbeddable into projective geometries (10 articles)
-
51A50 Polar geometry, symplectic spaces, orthogonal spaces (1 articles)
-
51A99 None of the above, but in this section (5 articles)
-
51Bxx Nonlinear incidence geometry (16 articles)
-
51C05 Ring geometry (Hjelmslev, Barbilian, etc.) (18 articles)
-
51Dxx Geometric closure systems (11 articles)
-
51Dxx Geometric closure systems (4 articles)
-
51D05 Abstract (Maeda) geometries
-
51D10 Abstract geometries with exchange axiom
-
51D15 Abstract geometries with parallelism (1 articles)
-
51D20 Combinatorial geometries
-
51D25 Lattices of subspaces
-
51D30 Continuous geometries and related topics (1 articles)
-
51D99 None of the above, but in this section (5 articles)
-
51Exx Finite geometry and special incidence structures (37 articles)
-
51Exx Finite geometry and special incidence structures
-
51E05 General block designs (1 articles)
-
51E10 Steiner systems
-
51E12 Generalized quadrangles, generalized polygons
-
51E14 Finite partial geometries (general), nets, partial spreads (2 articles)
-
51E15 Affine and projective planes (6 articles)
-
51E20 Combinatorial structures in finite projective spaces (12 articles)
-
51E21 Blocking sets, ovals, $k$-arcs
-
51E22 Linear codes and caps in Galois spaces
-
51E23 Spreads and packing problems
-
51E24 Buildings and the geometry of diagrams
-
51E25 Other finite nonlinear geometries (2 articles)
-
51E26 Other finite linear geometries
-
51E30 Other finite incidence structures (10 articles)
-
51E99 None of the above, but in this section (4 articles)
-
51Fxx Metric geometry (14 articles)
-
51Fxx Metric geometry
-
51F05 Absolute planes
-
51F10 Absolute spaces
-
51F15 Reflection groups, reflection geometries (1 articles)
-
51F20 Congruence and orthogonality (4 articles)
-
51F25 Orthogonal and unitary groups (1 articles)
-
51F99 None of the above, but in this section (8 articles)
-
51G05 Ordered geometries (ordered incidence structures, etc.) (11 articles)
-
51Hxx Topological geometry (2 articles)
-
51Hxx Topological geometry
-
51H05 General theory (1 articles)
-
51H10 Topological linear incidence structures
-
51H15 Topological nonlinear incidence structures
-
51H20 Topological geometries on manifolds (1 articles)
-
51H25 Geometries with differentiable structure
-
51H30 Geometries with algebraic manifold structure
-
51H99 None of the above, but in this section
-
51Jxx Incidence groups (3 articles)
-
51Jxx Incidence groups (1 articles)
-
51J05 General theory
-
51J10 Projective incidence groups
-
51J15 Kinematic spaces (1 articles)
-
51J20 Representation by near-fields and near-algebras (1 articles)
-
51J99 None of the above, but in this section
-
51Kxx Distance geometry (8 articles)
-
51Kxx Distance geometry
-
51K05 General theory (2 articles)
-
51K10 Synthetic differential geometry (4 articles)
-
51K99 None of the above, but in this section (2 articles)
-
51Lxx Geometric order structures
-
51Lxx Geometric order structures
-
51L05 Geometry of orders of nondifferentiable curves
-
51L10 Directly differentiable curves
-
51L15 $n$-vertex theorems via direct methods
-
51L20 Geometry of orders of surfaces
-
51L99 None of the above, but in this section
-
51Mxx Real and complex geometry (104 articles)
-
51Mxx Real and complex geometry (8 articles)
-
51M04 Elementary problems in Euclidean geometries (21 articles)
-
51M05 Euclidean geometries (general) and generalizations (9 articles)
-
51M09 Elementary problems in hyperbolic and elliptic geometries (2 articles)
-
51M10 Hyperbolic and elliptic geometries (general) and generalizations (12 articles)
-
51M15 Geometric constructions (10 articles)
-
51M16 Inequalities and extremum problems (4 articles)
-
51M20 Polyhedra and polytopes; regular figures, division of spaces (24 articles)
-
51M25 Length, area and volume (9 articles)
-
51M30 Line geometries and their generalizations (2 articles)
-
51M35 Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations)
-
51M99 None of the above, but in this section (3 articles)
-
51Nxx Analytic and descriptive geometry (163 articles)
-
51P05 Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) (7 articles)
-
52 Convex and discrete geometry (315 articles)
-
52 Convex and discrete geometry
-
52-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (5 articles)
-
52-01 Instructional exposition (textbooks, tutorial papers, etc.) (2 articles)
-
52-02 Research exposition (monographs, survey articles) (3 articles)
-
52-03 Historical (must also be assigned at least one classification number from Section 01) (3 articles)
-
52-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
52-06 Proceedings, conferences, collections, etc.
-
52.0 (1940-1958) Convex domains, extremal problems, integral geometry
-
52.00 (1959-1972) General (5 articles)
-
52.10 (1959-1972) Convex polyhedra (6 articles)
-
52.25 (1959-1972) Convex curves
-
52.30 (1959-1972) Convex regions
-
52.34 (1959-1972) Helly-type theorems
-
52.40 (1959-1972) Extremum problems and geometric inequalities (4 articles)
-
52.45 (1959-1972) Packing and covering (4 articles)
-
52.50 (1959-1972) Distance geometries (2 articles)
-
52.99 (1959-1972) None of the above, but in this section
-
52Axx General convexity (175 articles)
-
52Axx General convexity (3 articles)
-
52A01 Axiomatic and generalized convexity (15 articles)
-
52A05 Convex sets without dimension restrictions (23 articles)
-
52A07 Convex sets in topological vector spaces (17 articles)
-
52A10 Convex sets in $2$ dimensions (including convex curves) (10 articles)
-
52A15 Convex sets in $3$ dimensions (including convex surfaces) (4 articles)
-
52A20 Convex sets in $n$ dimensions (including convex hypersurfaces) (37 articles)
-
52A21 Finite-dimensional Banach spaces (including special norms, zonoids, etc.) (2 articles)
-
52A22 Random convex sets and integral geometry (10 articles)
-
52A27 Approximation by convex sets (2 articles)
-
52A30 Variants of convex sets (star-shaped, ($m, n$)-convex, etc.) (4 articles)
-
52A35 Helly-type theorems and geometric transversal theory (3 articles)
-
52A37 Other problems of combinatorial convexity (8 articles)
-
52A38 Length, area, volume (4 articles)
-
52A39 Mixed volumes and related topics
-
52A40 Inequalities and extremum problems (23 articles)
-
52A41 Convex functions and convex programs (7 articles)
-
52A55 Spherical and hyperbolic convexity (1 articles)
-
52A99 None of the above, but in this section (2 articles)
-
52Bxx Polytopes and polyhedra (64 articles)
-
52Bxx Polytopes and polyhedra (12 articles)
-
52B05 Combinatorial properties (number of faces, shortest paths, etc.) (10 articles)
-
52B10 Three-dimensional polytopes (11 articles)
-
52B11 $n$-dimensional polytopes (4 articles)
-
52B12 Special polytopes (linear programming, centrally symmetric, etc.) (7 articles)
-
52B15 Symmetry properties of polytopes (2 articles)
-
52B20 Lattice polytopes (including relations with commutative algebra and algebraic geometry) (2 articles)
-
52B22 Shellability
-
52B35 Gale and other diagrams
-
52B40 Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (1 articles)
-
52B45 Dissections and valuations (Hilbert's third problem, etc.) (1 articles)
-
52B55 Computational aspects related to convexity (6 articles)
-
52B60 Isoperimetric problems for polytopes (1 articles)
-
52B70 Polyhedral manifolds (3 articles)
-
52B99 None of the above, but in this section (4 articles)
-
52Cxx Discrete geometry (41 articles)
-
52Cxx Discrete geometry
-
52C05 Lattices and convex bodies in $2$ dimensions (2 articles)
-
52C07 Lattices and convex bodies in $n$ dimensions (2 articles)
-
52C10 Erdös problems and related topics of discrete geometry (4 articles)
-
52C15 Packing and covering in $2$ dimensions (6 articles)
-
52C17 Packing and covering in $n$ dimensions (11 articles)
-
52C20 Tilings in $2$ dimensions (6 articles)
-
52C22 Tilings in $n$ dimensions (2 articles)
-
52C23 Quasicrystals, aperiodic tilings
-
52C25 Rigidity and flexibility of structures
-
52C26 Circle packings and discrete conformal geometry (1 articles)
-
52C30 Planar arrangements of lines and pseudolines
-
52C35 Arrangements of points, flats, hyperplanes (2 articles)
-
52C40 Oriented matroids (1 articles)
-
52C45 Combinatorial complexity of geometric structures (1 articles)
-
52C99 None of the above, but in this section (3 articles)
-
53 Differential geometry (2338 articles)
-
53 Differential geometry
-
53-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (10 articles)
-
53-01 Instructional exposition (textbooks, tutorial papers, etc.) (29 articles)
-
53-02 Research exposition (monographs, survey articles) (10 articles)
-
53-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
53-04 Explicit machine computation and programs (not the theory of computation or programming) (2 articles)
-
53-06 Proceedings, conferences, collections, etc. (3 articles)
-
53.0 (1940-1958) Differential geometry
-
53.00 (1959-1972) General (27 articles)
-
53.01 (1959-1972) Curves and surfaces in Euclidean spaces (21 articles)
-
53.04 (1959-1972) Minimal surfaces
-
53.1 (1940-1958) Riemannian geometry, connections
-
53.10 (1959-1972) Affine differential geometry (4 articles)
-
53.2 (1940-1958) Manifolds, connections
-
53.20 (1959-1972) Projective differential geometry (30 articles)
-
53.23 (1959-1972) Differential line geometry (16 articles)
-
53.25 (1959-1972) Conformal differential geometry
-
53.3 (1940-1958) Complex manifolds
-
53.30 (1959-1972) Non-Euclidean differential geometry
-
53.32 (1959-1972) Other special differential geometries (4 articles)
-
53.35 (1959-1972) Vector and tensor analysis
-
53.38 (1959-1972) Spinor analysis
-
53.40 (1959-1972) bundles (2 articles)
-
53.42 (1959-1972) Differential invariants (local theory), geometric objects (1 articles)
-
53.45 (1959-1972) fields, etc.
-
53.50 (1959-1972) Connections, general (7 articles)
-
53.52 (1959-1972) $G$-Structures (1 articles)
-
53.55 (1959-1972) Affine connections (5 articles)
-
53.60 (1959-1972) Projective connections (11 articles)
-
53.66 (1959-1972) Homogeneous manifolds (2 articles)
-
53.70 (1959-1972) Local Riemannian geometry (1 articles)
-
53.72 (1959-1972) Riemannian manifolds
-
53.73 (1959-1972) Symmetric spaces (1 articles)
-
53.74 (1959-1972) Submanifolds, isometric imbeddings (3 articles)
-
53.75 (1959-1972) Global surface theory (convex surfaces) (6 articles)
-
53.78 (1959-1972) Lorentz metrics and generalizations (1 articles)
-
53.80 (1959-1972) Hermitian and K"ahlerian structures
-
53.85 (1959-1972) Finsler spaces and generalizations (areal metrics) (1 articles)
-
53.90 (1959-1972) Integral geometry
-
53.95 (1959-1972) Direct methods ($G$-spaces of Busemann), geometric orders
-
53.99 (1959-1972) Other generalizations
-
53Axx Classical differential geometry (490 articles)
-
53Axx Classical differential geometry (22 articles)
-
53A04 Curves in Euclidean space (37 articles)
-
53A05 Surfaces in Euclidean space (69 articles)
-
53A07 Higher-dimensional and -codimensional surfaces in Euclidean $n$-space (13 articles)
-
53A10 Minimal surfaces, surfaces with prescribed mean curvature (23 articles)
-
53A15 Affine differential geometry (32 articles)
-
53A17 Kinematics (35 articles)
-
53A20 Projective differential geometry (65 articles)
-
53A25 Differential line geometry (22 articles)
-
53A30 Conformal differential geometry (25 articles)
-
53A35 Non-Euclidean differential geometry (14 articles)
-
53A40 Other special differential geometries (12 articles)
-
53A45 Vector and tensor analysis (13 articles)
-
53A55 Differential invariants (local theory), geometric objects (95 articles)
-
53A60 Geometry of webs (12 articles)
-
53A99 None of the above, but in this section (1 articles)
-
53Bxx Local differential geometry (300 articles)
-
53Cxx Global differential geometry (1219 articles)
-
53Cxx Global differential geometry (11 articles)
-
53C05 Connections, general theory (142 articles)
-
53C07 Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) (21 articles)
-
53C10 $G$-structures (49 articles)
-
53C12 Foliations (differential geometric aspects) (20 articles)
-
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) (132 articles)
-
53C17 Sub-Riemannian geometry (5 articles)
-
53C20 Global Riemannian geometry, including pinching (87 articles)
-
53C21 Methods of Riemannian geometry, including PDE methods; curvature restrictions (44 articles)
-
53C22 Geodesics (32 articles)
-
53C23 Global topological methods (à la Gromov) (4 articles)
-
53C24 Rigidity results (9 articles)
-
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) (102 articles)
-
53C26 Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry (12 articles)
-
53C27 Spin and Spin$^c$ geometry (23 articles)
-
53C28 Twistor methods (7 articles)
-
53C29 Issues of holonomy (10 articles)
-
53C30 Homogeneous manifolds (88 articles)
-
53C35 Symmetric spaces (44 articles)
-
53C38 Calibrations and calibrated geometries
-
53C40 Global submanifolds (82 articles)
-
53C42 Immersions (minimal, prescribed curvature, tight, etc.) (59 articles)
-
53C43 Differential geometric aspects of harmonic maps (16 articles)
-
53C44 Geometric evolution equations (mean curvature flow) (13 articles)
-
53C45 Global surface theory (convex surfaces à la A. D. Aleksandrov) (26 articles)
-
53C50 Lorentz manifolds, manifolds with indefinite metrics (48 articles)
-
53C55 Hermitian and Kählerian manifolds (33 articles)
-
53C56 Other complex differential geometry (7 articles)
-
53C60 Finsler spaces and generalizations (areal metrics) (28 articles)
-
53C65 Integral geometry (19 articles)
-
53C70 Direct methods ($G$-spaces of Busemann, etc.) (4 articles)
-
53C75 Geometric orders, order geometry (4 articles)
-
53C80 Applications to physics (36 articles)
-
53C99 None of the above, but in this section (2 articles)
-
53Dxx Symplectic geometry, contact geometry (114 articles)
-
53Dxx Symplectic geometry, contact geometry (1 articles)
-
53D05 Symplectic manifolds, general (26 articles)
-
53D10 Contact manifolds, general (17 articles)
-
53D12 Lagrangian submanifolds; Maslov index (4 articles)
-
53D15 Almost contact and almost symplectic manifolds (14 articles)
-
53D17 Poisson manifolds (22 articles)
-
53D20 Momentum maps; symplectic reduction (1 articles)
-
53D22 Canonical transformations
-
53D25 Geodesic flows (4 articles)
-
53D30 Symplectic structures of moduli spaces (1 articles)
-
53D35 Global theory of symplectic and contact manifolds (5 articles)
-
53D40 Floer homology and cohomology, symplectic aspects
-
53D45 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (3 articles)
-
53D50 Geometric quantization (10 articles)
-
53D55 Deformation quantization, star products (4 articles)
-
53D99 None of the above, but in this section (2 articles)
-
53Z05 Applications to physics (15 articles)
-
54 General topology (4880 articles)
-
54 General topology
-
54-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (5 articles)
-
54-01 Instructional exposition (textbooks, tutorial papers, etc.) (9 articles)
-
54-02 Research exposition (monographs, survey articles) (8 articles)
-
54-03 Historical (must also be assigned at least one classification number from Section 01) (4 articles)
-
54-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
54-06 Proceedings, conferences, collections, etc. (1 articles)
-
54.0 (1940-1958) General topology
-
54.00 (1959-1972) General (21 articles)
-
54.10 (1959-1972) Axiomatics, generalizations of topological spaces, syntopogenous spaces (8 articles)
-
54.20 (1959-1972) Topological spaces, general (21 articles)
-
54.22 (1959-1972) Convergence notions (7 articles)
-
54.23 (1959-1972) Separation axioms, $T_i$-spaces (1 articles)
-
54.25 (1959-1972) General constructs (products, quotients, limits, etc.) (6 articles)
-
54.28 (1959-1972) Function spaces (2 articles)
-
54.30 (1959-1972) Uniform structures, proximity spaces (14 articles)
-
54.35 (1959-1972) Metric spaces, metrizability (8 articles)
-
54.38 (1959-1972) Moore spaces
-
54.40 (1959-1972) Countability conditions, separability, Lindel"of spaces (2 articles)
-
54.50 (1959-1972) Paracompact spaces (4 articles)
-
54.52 (1959-1972) Compactness, local compactness, generalizations (3 articles)
-
54.53 (1959-1972) Compactifications, other extensions (5 articles)
-
54.55 (1959-1972) Connectedness, continua (9 articles)
-
54.56 (1959-1972) Ordered topological spaces (2 articles)
-
54.60 (1959-1972) Mappings (12 articles)
-
54.65 (1959-1972) Set-valued mappings
-
54.70 (1959-1972) Dimension theory (8 articles)
-
54.75 (1959-1972) Topology of $E_2$, 2-manifolds (1 articles)
-
54.78 (1959-1972) Topology of $E_n$, $n$-manifolds $(ngeq 2)$ (2 articles)
-
54.80 (1959-1972) Transformation groups and semigroups (11 articles)
-
54.82 (1959-1972) Topological dynamics (7 articles)
-
54.85 (1959-1972) Fixed-point theorems, coincidence theorems, etc. (3 articles)
-
54.99 (1959-1972) None of the above, but in this section (3 articles)
-
54Axx Generalities (702 articles)
-
54Axx Generalities (13 articles)
-
54A05 Topological spaces and generalizations (closure spaces, etc.) (114 articles)
-
54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (57 articles)
-
54A15 Syntopogeneous structures (3 articles)
-
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, etc.) (133 articles)
-
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets) (222 articles)
-
54A35 Consistency and independence results (78 articles)
-
54A40 Fuzzy topology (55 articles)
-
54A99 None of the above, but in this section (27 articles)
-
54Bxx Basic constructions (416 articles)
-
54Cxx Maps and general types of spaces defined by maps (945 articles)
-
54Dxx Fairly general properties (1036 articles)
-
54Dxx Fairly general properties (8 articles)
-
54D05 Connected and locally connected spaces (general aspects) (44 articles)
-
54D10 Lower separation axioms ($T_0$--$T_3$, etc.) (63 articles)
-
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (91 articles)
-
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) (194 articles)
-
54D25 ``$P$-minimal'' and ``$P$-closed'' spaces (17 articles)
-
54D30 Compactness (173 articles)
-
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.) (131 articles)
-
54D40 Remainders (42 articles)
-
54D45 Local compactness, $sigma$-compactness (24 articles)
-
54D50 $k$-spaces (13 articles)
-
54D55 Sequential spaces (100 articles)
-
54D60 Realcompactness and realcompactification (33 articles)
-
54D65 Separability (16 articles)
-
54D70 Base properties (12 articles)
-
54D80 Special constructions of spaces (spaces of ultrafilters, etc.) (31 articles)
-
54D99 None of the above, but in this section (44 articles)
-
54Exx Spaces with richer structures (604 articles)
-
54Fxx Special properties (281 articles)
-
54Fxx Special properties
-
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (87 articles)
-
54F15 Continua and generalizations (51 articles)
-
54F35 Higher-dimensional local connectedness (1 articles)
-
54F45 Dimension theory (61 articles)
-
54F50 Spaces of dimension $leq 1$; curves, dendrites (35 articles)
-
54F55 Unicoherence, multicoherence (3 articles)
-
54F65 Topological characterizations of particular spaces (22 articles)
-
54F99 None of the above, but in this section (21 articles)
-
54Gxx Peculiar spaces (179 articles)
-
54Hxx Connections with other structures, applications (510 articles)
-
54Hxx Connections with other structures, applications (20 articles)
-
54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (89 articles)
-
54H10 Topological representations of algebraic systems (25 articles)
-
54H11 Topological groups (70 articles)
-
54H12 Topological lattices, etc. (11 articles)
-
54H13 Topological fields, rings, etc. (12 articles)
-
54H15 Transformation groups and semigroups (32 articles)
-
54H20 Topological dynamics (67 articles)
-
54H25 Fixed-point and coincidence theorems (151 articles)
-
54H99 None of the above, but in this section (33 articles)
-
54J05 Nonstandard topology (19 articles)
-
55 Algebraic topology (328 articles)
-
55 Algebraic topology
-
55-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (8 articles)
-
55-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
55-02 Research exposition (monographs, survey articles) (2 articles)
-
55-03 Historical (must also be assigned at least one classification number from Section 01)
-
55-04 Explicit machine computation and programs (not the theory of computation or programming)
-
55-06 Proceedings, conferences, collections, etc.
-
55.0 (1940-1958) Algebraic topology
-
55.00 (1959-1972) General (2 articles)
-
55.10 (1959-1972) Graphs, map-coloring (5 articles)
-
55.20 (1959-1972) Knots, links (1 articles)
-
55.25 (1959-1972) Cell-complexes, simplicial complexes (1 articles)
-
55.30 (1959-1972) Homology and cohomology theories; $K$-theory (4 articles)
-
55.32 (1959-1972) Sheaves
-
55.34 (1959-1972) Cohomology operations, Steenrod algebra
-
55.36 (1959-1972) Periodic transformations, fixed points, coincidences (Smith theory) (3 articles)
-
55.38 (1959-1972) Dimension theory (1 articles)
-
55.40 (1959-1972) Homotopy theory, general (1 articles)
-
55.42 (1959-1972) Algebra of mappings (including cohomotopy groups)
-
55.45 (1959-1972) Computation of homotopy groups
-
55.50 (1959-1972) Fiber spaces
-
55.52 (1959-1972) Spectral sequences
-
55.60 (1959-1972) Manifolds
-
55.66 (1959-1972) Generalized manifolds, local homology (1 articles)
-
55.68 (1959-1972) Homotopy manifolds
-
55.70 (1959-1972) Imbedding, immersion
-
55.99 (1959-1972) None of the above, but in this section
-
55Mxx Classical topics (59 articles)
-
55Mxx Classical topics (4 articles)
-
55M05 Duality (5 articles)
-
55M10 Dimension theory (5 articles)
-
55M15 Absolute neighborhood retracts (4 articles)
-
55M20 Fixed points and coincidences (25 articles)
-
55M25 Degree, winding number (12 articles)
-
55M30 Ljusternik-Schnirelman (Lyusternik-Shnirelman) category of a space (3 articles)
-
55M35 Finite groups of transformations (including Smith theory)
-
55M99 None of the above, but in this section (1 articles)
-
55Nxx Homology and cohomology theories (52 articles)
-
55Nxx Homology and cohomology theories (2 articles)
-
55N05 Cech types (18 articles)
-
55N07 Steenrod-Sitnikov homologies
-
55N10 Singular theory (2 articles)
-
55N15 $K$-theory (6 articles)
-
55N20 Generalized (extraordinary) homology and cohomology theories (1 articles)
-
55N22 Bordism and cobordism theories, formal group laws
-
55N25 Homology with local coefficients, equivariant cohomology (2 articles)
-
55N30 Sheaf cohomology (4 articles)
-
55N33 Intersection homology and cohomology (1 articles)
-
55N34 Elliptic cohomology
-
55N35 Other homology theories (9 articles)
-
55N40 Axioms for homology theory and uniqueness theorems (1 articles)
-
55N45 Products and intersections
-
55N91 Equivariant homology and cohomology (5 articles)
-
55N99 None of the above, but in this section (1 articles)
-
55Pxx Homotopy theory (54 articles)
-
55Pxx Homotopy theory
-
55P05 Homotopy extension properties, cofibrations (1 articles)
-
55P10 Homotopy equivalences (4 articles)
-
55P15 Classification of homotopy type (4 articles)
-
55P20 Eilenberg-Mac Lane spaces
-
55P25 Spanier-Whitehead duality
-
55P30 Eckmann-Hilton duality
-
55P35 Loop spaces (4 articles)
-
55P40 Suspensions
-
55P42 Stable homotopy theory, spectra (3 articles)
-
55P43 Spectra with additional structure ($E_infty$, $A_infty$, ring spectra, etc.)
-
55P45 $
-
55P47 Infinite loop spaces (1 articles)
-
55P48 Loop space machines, operads (10 articles)
-
55P55 Shape theory (6 articles)
-
55P57 Proper homotopy theory
-
55P60 Localization and completion (1 articles)
-
55P62 Rational homotopy theory (12 articles)
-
55P65 Homotopy functors (1 articles)
-
55P91 Equivariant homotopy theory (1 articles)
-
55P92 Relations between equivariant and nonequivariant homotopy theory
-
55P99 None of the above, but in this section (6 articles)
-
55Qxx Homotopy groups (11 articles)
-
55Qxx Homotopy groups
-
55Q05 Homotopy groups, general; sets of homotopy classes (3 articles)
-
55Q07 Shape groups (1 articles)
-
55Q10 Stable homotopy groups
-
55Q15 Whitehead products and generalizations (2 articles)
-
55Q20 Homotopy groups of wedges, joins, and simple spaces
-
55Q25 Hopf invariants (1 articles)
-
55Q35 Operations in homotopy groups
-
55Q40 Homotopy groups of spheres
-
55Q45 Stable homotopy of spheres
-
55Q50 $J$-morphism
-
55Q51 $v_n$-periodicity
-
55Q52 Homotopy groups of special spaces (2 articles)
-
55Q55 Cohomotopy groups
-
55Q70 Homotopy groups of special types (2 articles)
-
55Q91 Equivariant homotopy groups
-
55Q99 None of the above, but in this section
-
55Rxx Fiber spaces and bundles (85 articles)
-
55Rxx Fiber spaces and bundles
-
55R05 Fiber spaces (8 articles)
-
55R10 Fiber bundles (25 articles)
-
55R12 Transfer
-
55R15 Classification (3 articles)
-
55R20 Spectral sequences and homology of fiber spaces (3 articles)
-
55R25 Sphere bundles and vector bundles (16 articles)
-
55R35 Classifying spaces of groups and $ (1 articles)
-
55R37 Maps between classifying spaces
-
55R40 Homology of classifying spaces, characteristic classes (10 articles)
-
55R45 Homology and homotopy of $B (1 articles)
-
55R50 Stable classes of vector space bundles, $K$-theory (3 articles)
-
55R55 Fiberings with singularities
-
55R60 Microbundles and block bundles
-
55R65 Generalizations of fiber spaces and bundles (9 articles)
-
55R70 Fibrewise topology
-
55R80 Discriminantal varieties, configuration spaces (2 articles)
-
55R91 Equivariant fiber spaces and bundles (2 articles)
-
55R99 None of the above, but in this section (2 articles)
-
55Sxx Operations and obstructions (15 articles)
-
55Sxx Operations and obstructions
-
55S05 Primary cohomology operations (1 articles)
-
55S10 Steenrod algebra (1 articles)
-
55S12 Dyer-Lashof operations
-
55S15 Symmetric products, cyclic products
-
55S20 Secondary and higher cohomology operations
-
55S25 $K$-theory operations and generalized cohomology operations (1 articles)
-
55S30 Massey products (1 articles)
-
55S35 Obstruction theory (3 articles)
-
55S36 Extension and compression of mappings
-
55S37 Classification of mappings (2 articles)
-
55S40 Sectioning fiber spaces and bundles (3 articles)
-
55S45 Postnikov systems, $k$-invariants
-
55S91 Equivariant operations and obstructions (1 articles)
-
55S99 None of the above, but in this section (2 articles)
-
55Txx Spectral sequences (6 articles)
-
55Txx Spectral sequences
-
55T05 General (1 articles)
-
55T10 Serre spectral sequences (3 articles)
-
55T15 Adams spectral sequences
-
55T20 Eilenberg-Moore spectral sequences
-
55T25 Generalized cohomology
-
55T99 None of the above, but in this section (2 articles)
-
55Uxx Applied homological algebra and category theory (17 articles)
-
55Uxx Applied homological algebra and category theory
-
55U05 Abstract complexes (1 articles)
-
55U10 Simplicial sets and complexes (2 articles)
-
55U15 Chain complexes (6 articles)
-
55U20 Universal coefficient theorems, Bockstein operator
-
55U25 Homology of a product, Künneth formula
-
55U30 Duality
-
55U35 Abstract and axiomatic homotopy theory (5 articles)
-
55U40 Topological categories, foundations of homotopy theory (2 articles)
-
55U99 None of the above, but in this section (1 articles)
-
56 (1940-1958) Topology
-
56 (1940-1958) Topology
-
56.0 (1940-1958) Topology
-
57 Manifolds and cell complexes (336 articles)
-
57 Manifolds and cell complexes
-
57-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
57-01 Instructional exposition (textbooks, tutorial papers, etc.) (1 articles)
-
57-02 Research exposition (monographs, survey articles) (1 articles)
-
57-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
57-04 Explicit machine computation and programs (not the theory of computation or programming)
-
57-06 Proceedings, conferences, collections, etc.
-
57.00 (1959-1972) General
-
57.01 (1959-1972) Topological manifolds, combinatorial manifolds
-
57.05 (1959-1972) Geometric topology (1 articles)
-
57.10 (1959-1972) Differentiable structures, cobordism
-
57.20 (1959-1972) Differentiable mappings, imbeddings, immersions, diffeomorphisms (2 articles)
-
57.30 (1959-1972) Fiber bundles, vector bundles (1 articles)
-
57.31 (1959-1972) Topology of differentiable manifolds
-
57.32 (1959-1972) Characteristic classes
-
57.34 (1959-1972) Topology of vector and tensor fields
-
57.36 (1959-1972) Foliations (1 articles)
-
57.40 (1959-1972) Topology of Lie groups
-
57.45 (1959-1972) Topology of homogeneous spaces
-
57.47 (1959-1972) Transformation groups
-
57.48 (1959-1972) Differentiable dynamical systems (2 articles)
-
57.50 (1959-1972) Analysis on differentiable manifolds (1 articles)
-
57.55 (1959-1972) Infinite-dimensional manifolds (1 articles)
-
57.60 (1959-1972) Complex manifolds
-
57.70 (1959-1972) Infinite Lie groups, deformations (2 articles)
-
57.99 (1959-1972) None of the above, but in this section
-
57Mxx Low-dimensional topology (43 articles)
-
57Mxx Low-dimensional topology
-
57M05 Fundamental group, presentations, free differential calculus (2 articles)
-
57M07 Topological methods in group theory (5 articles)
-
57M10 Covering spaces (3 articles)
-
57M12 Special coverings, e.g. branched (1 articles)
-
57M15 Relations with graph theory (8 articles)
-
57M20 Two-dimensional complexes (5 articles)
-
57M25 Knots and links in $S^3$ (11 articles)
-
57M27 Invariants of knots and 3-manifolds (1 articles)
-
57M30 Wild knots and surfaces, etc., wild embeddings
-
57M35 Dehn's lemma, sphere theorem, loop theorem, asphericity (1 articles)
-
57M40 Characterizations of $E^3$ and $S^3$ (Poincaré conjecture)
-
57M50 Geometric structures on low-dimensional manifolds (1 articles)
-
57M60 Group actions in low dimensions (3 articles)
-
57M99 None of the above, but in this section (2 articles)
-
57Nxx Topological manifolds (73 articles)
-
57Nxx Topological manifolds (3 articles)
-
57N05 Topology of $E^2$, $2$-manifolds (6 articles)
-
57N10 Topology of general $3$-manifolds (3 articles)
-
57N12 Topology of $E^3$ and $S^3$
-
57N13 Topology of $E^4$, $4$-manifolds (3 articles)
-
57N15 Topology of $E^n$, $n$-manifolds ($4 < n < infty$) (6 articles)
-
57N16 Geometric structures on manifolds (1 articles)
-
57N17 Topology of topological vector spaces (6 articles)
-
57N20 Topology of infinite-dimensional manifolds (17 articles)
-
57N25 Shapes (1 articles)
-
57N30 Engulfing
-
57N35 Embeddings and immersions (4 articles)
-
57N37 Isotopy and pseudo-isotopy
-
57N40 Neighborhoods of submanifolds
-
57N45 Flatness and tameness (1 articles)
-
57N50 $S^ (4 articles)
-
57N55 Microbundles and block bundles
-
57N60 Cellularity
-
57N65 Algebraic topology of manifolds (10 articles)
-
57N70 Cobordism and concordance (1 articles)
-
57N75 General position and transversality (2 articles)
-
57N80 Stratifications
-
57N99 None of the above, but in this section (5 articles)
-
57Pxx Generalized manifolds (2 articles)
-
57Pxx Generalized manifolds
-
57P05 Local properties of generalized manifolds
-
57P10 Poincaré duality spaces
-
57P99 None of the above, but in this section (2 articles)
-
57Qxx PL-topology (16 articles)
-
57Qxx PL-topology
-
57Q05 General topology of complexes (7 articles)
-
57Q10 Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (1 articles)
-
57Q12 Wall finiteness obstruction for CW-complexes
-
57Q15 Triangulating manifolds (1 articles)
-
57Q20 Cobordism
-
57Q25 Comparison of PL-structures: classification, Hauptvermutung (2 articles)
-
57Q30 Engulfing
-
57Q35 Embeddings and immersions (2 articles)
-
57Q37 Isotopy
-
57Q40 Regular neighborhoods
-
57Q45 Knots and links (in high dimensions) (2 articles)
-
57Q50 Microbundles and block bundles
-
57Q55 Approximations (1 articles)
-
57Q60 Cobordism and concordance
-
57Q65 General position and transversality
-
57Q91 Equivariant PL-topology
-
57Q99 None of the above, but in this section
-
57Rxx Differential topology (143 articles)
-
57Rxx Differential topology
-
57R05 Triangulating
-
57R10 Smoothing (2 articles)
-
57R12 Smooth approximations (1 articles)
-
57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (6 articles)
-
57R17 Symplectic and contact topology (5 articles)
-
57R19 Algebraic topology on manifolds (11 articles)
-
57R20 Characteristic classes and numbers (28 articles)
-
57R22 Topology of vector bundles and fiber bundles (13 articles)
-
57R25 Vector fields, frame fields (18 articles)
-
57R27 Controllability of vector fields on $C^infty$ and real-analytic manifolds
-
57R30 Foliations; geometric theory (20 articles)
-
57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology (2 articles)
-
57R35 Differentiable mappings (3 articles)
-
57R40 Embeddings (2 articles)
-
57R42 Immersions (4 articles)
-
57R45 Singularities of differentiable mappings (3 articles)
-
57R50 Diffeomorphisms (2 articles)
-
57R52 Isotopy (1 articles)
-
57R55 Differentiable structures (1 articles)
-
57R56 Topological quantum field theories (1 articles)
-
57R57 Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants (2 articles)
-
57R58 Floer homology
-
57R60 Homotopy spheres, Poincaré conjecture (2 articles)
-
57R65 Surgery and handlebodies (3 articles)
-
57R67 Surgery obstructions, Wall groups (2 articles)
-
57R70 Critical points and critical submanifolds (5 articles)
-
57R75 O- and SO-cobordism
-
57R77 Complex cobordism (U- and SU-cobordism)
-
57R80 $h$- and $s$-cobordism (1 articles)
-
57R85 Equivariant cobordism
-
57R90 Other types of cobordism (1 articles)
-
57R91 Equivariant algebraic topology of manifolds
-
57R95 Realizing cycles by submanifolds
-
57R99 None of the above, but in this section (4 articles)
-
57Sxx Topological transformation groups (23 articles)
-
57Sxx Topological transformation groups
-
57S05 Topological properties of groups of homeomorphisms or diffeomorphisms (5 articles)
-
57S10 Compact groups of homeomorphisms (2 articles)
-
57S15 Compact Lie groups of differentiable transformations (3 articles)
-
57S17 Finite transformation groups (2 articles)
-
57S20 Noncompact Lie groups of transformations (3 articles)
-
57S25 Groups acting on specific manifolds (4 articles)
-
57S30 Discontinuous groups of transformations (2 articles)
-
57S99 None of the above, but in this section (2 articles)
-
57Txx Homology and homotopy of topological groups and related structures (20 articles)
-
57Txx Homology and homotopy of topological groups and related structures
-
57T05 Hopf algebras (3 articles)
-
57T10 Homology and cohomology of Lie groups (4 articles)
-
57T15 Homology and cohomology of homogeneous spaces of Lie groups (8 articles)
-
57T20 Homotopy groups of topological groups and homogeneous spaces (2 articles)
-
57T25 Homology and cohomology of $
-
57T30 Bar and cobar constructions
-
57T35 Applications of Eilenberg-Moore spectral sequences
-
57T99 None of the above, but in this section (3 articles)
-
58 Global analysis, analysis on manifolds (1059 articles)
-
58 Global analysis, analysis on manifolds
-
58-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
58-01 Instructional exposition (textbooks, tutorial papers, etc.) (2 articles)
-
58-02 Research exposition (monographs, survey articles) (1 articles)
-
58-03 Historical (must also be assigned at least one classification number from Section 01)
-
58-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
58-06 Proceedings, conferences, collections, etc.
-
58Axx General theory of differentiable manifolds (490 articles)
-
58Bxx Infinite-dimensional manifolds (46 articles)
-
58Bxx Infinite-dimensional manifolds
-
58B05 Homotopy and topological questions (6 articles)
-
58B10 Differentiability questions (8 articles)
-
58B12 Questions of holomorphy
-
58B15 Fredholm structures (4 articles)
-
58B20 Riemannian, Finsler and other geometric structures (12 articles)
-
58B25 Group structures and generalizations on infinite-dimensional manifolds (7 articles)
-
58B32 Geometry of quantum groups (1 articles)
-
58B34 Noncommutative geometry (à la Connes) (3 articles)
-
58B99 None of the above, but in this section (5 articles)
-
58Cxx Calculus on manifolds; nonlinear operators (134 articles)
-
58Cxx Calculus on manifolds; nonlinear operators (1 articles)
-
58C05 Real-valued functions (8 articles)
-
58C06 Set valued and function-space valued mappings (5 articles)
-
58C07 Continuity properties of mappings (4 articles)
-
58C10 Holomorphic maps (2 articles)
-
58C15 Implicit function theorems; global Newton methods (18 articles)
-
58C20 Differentiation theory (Gateaux, Fréchet, etc.) (40 articles)
-
58C25 Differentiable maps (19 articles)
-
58C30 Fixed point theorems on manifolds (10 articles)
-
58C35 Integration on manifolds; measures on manifolds (6 articles)
-
58C40 Spectral theory; eigenvalue problems (9 articles)
-
58C50 Analysis on supermanifolds or graded manifolds (4 articles)
-
58C99 None of the above, but in this section (8 articles)
-
58Dxx Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (38 articles)
-
58Dxx Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
-
58D05 Groups of diffeomorphisms and homeomorphisms as manifolds (9 articles)
-
58D07 Groups and semigroups of nonlinear operators
-
58D10 Spaces of imbeddings and immersions (2 articles)
-
58D15 Manifolds of mappings (8 articles)
-
58D17 Manifolds of metrics (esp. Riemannian)
-
58D19 Group actions and symmetry properties (1 articles)
-
58D20 Measures (Gaussian, cylindrical, etc.) on manifolds of maps
-
58D25 Equations in function spaces; evolution equations (8 articles)
-
58D27 Moduli problems for differential geometric structures (2 articles)
-
58D29 Moduli problems for topological structures (1 articles)
-
58D30 Applications (in quantum mechanics (Feynman path integrals), relativity, fluid dynamics, etc.) (5 articles)
-
58D99 None of the above, but in this section (2 articles)
-
58Exx Variational problems in infinite-dimensional spaces (174 articles)
-
58Exx Variational problems in infinite-dimensional spaces (1 articles)
-
58E05 Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirelman) theory, etc.) (35 articles)
-
58E07 Abstract bifurcation theory (15 articles)
-
58E09 Group-invariant bifurcation theory (1 articles)
-
58E10 Applications to the theory of geodesics (problems in one independent variable) (3 articles)
-
58E11 Critical metrics
-
58E12 Applications to minimal surfaces (problems in two independent variables) (5 articles)
-
58E15 Application to extremal problems in several variables; Yang-Mills functionals (12 articles)
-
58E17 Pareto optimality, etc., applications to economics
-
58E20 Harmonic maps (20 articles)
-
58E25 Applications to control theory (4 articles)
-
58E30 Variational principles (48 articles)
-
58E35 Variational inequalities (global problems) (13 articles)
-
58E40 Group actions (1 articles)
-
58E50 Applications (8 articles)
-
58E99 None of the above, but in this section (8 articles)
-
58Hxx Pseudogroups, differentiable groupoids and general structures on manifolds (37 articles)
-
58Hxx Pseudogroups, differentiable groupoids and general structures on manifolds
-
58H05 Pseudogroups and differentiable groupoids (24 articles)
-
58H10 Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (7 articles)
-
58H15 Deformations of structures (1 articles)
-
58H99 None of the above, but in this section (5 articles)
-
58Jxx Partial differential equations on manifolds; differential operators (117 articles)
-
58Jxx Partial differential equations on manifolds; differential operators (5 articles)
-
58J05 Elliptic equations on manifolds, general theory (9 articles)
-
58J10 Differential complexes (17 articles)
-
58J15 Relations with hyperfunctions
-
58J20 Index theory and related fixed point theorems (6 articles)
-
58J22 Exotic index theories
-
58J26 Elliptic genera
-
58J28 Eta-invariants, Chern-Simons invariants (1 articles)
-
58J30 Spectral flows
-
58J32 Boundary value problems on manifolds (4 articles)
-
58J35 Heat and other parabolic equation methods (10 articles)
-
58J37 Perturbations; asymptotics (1 articles)
-
58J40 Pseudodifferential and Fourier integral operators on manifolds (2 articles)
-
58J42 Noncommutative global analysis, noncommutative residues
-
58J45 Hyperbolic equations (3 articles)
-
58J47 Propagation of singularities; initial value problems (2 articles)
-
58J50 Spectral problems; spectral geometry; scattering theory (17 articles)
-
58J52 Determinants and determinant bundles, analytic torsion (2 articles)
-
58J53 Isospectrality
-
58J55 Bifurcation (1 articles)
-
58J60 Relations with special manifold structures (Riemannian, Finsler, etc.) (11 articles)
-
58J65 Diffusion processes and stochastic analysis on manifolds (4 articles)
-
58J70 Invariance and symmetry properties (14 articles)
-
58J72 Correspondences and other transformation methods (e.g. Lie-Bäcklund) (2 articles)
-
58J90 Applications (1 articles)
-
58J99 None of the above, but in this section (5 articles)
-
58Kxx Theory of singularities and catastrophe theory (14 articles)
-
58Kxx Theory of singularities and catastrophe theory
-
58K05 Critical points of functions and mappings (1 articles)
-
58K10 Monodromy
-
58K15 Topological properties of mappings
-
58K20 Algebraic and analytic properties of mappings (1 articles)
-
58K25 Stability (1 articles)
-
58K30 Global theory
-
58K35 Catastrophe theory (3 articles)
-
58K40 Classification; finite determinacy of map germs
-
58K45 Singularities of vector fields, topological aspects
-
58K50 Normal forms
-
58K55 Asymptotic behavior
-
58K60 Deformation of singularities
-
58K65 Topological invariants (3 articles)
-
58K70 Symmetries, equivariance
-
58K99 None of the above, but in this section (5 articles)
-
58Z05 Applications to physics (5 articles)
-
60 Probability theory and stochastic processes (1411 articles)
-
60 Probability theory and stochastic processes
-
60-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (6 articles)
-
60-01 Instructional exposition (textbooks, tutorial papers, etc.) (5 articles)
-
60-02 Research exposition (monographs, survey articles) (1 articles)
-
60-03 Historical (must also be assigned at least one classification number from Section 01) (15 articles)
-
60-04 Explicit machine computation and programs (not the theory of computation or programming)
-
60-06 Proceedings, conferences, collections, etc. (1 articles)
-
60-08 Computational methods (not classified at a more specific level) [See also 65C50] (3 articles)
-
60.0 (1940-1958) Probability
-
60.00 (1959-1972) General (14 articles)
-
60.02 (1959-1972) Axioms, foundations
-
60.05 (1959-1972) Probabilistic measure theory
-
60.08 (1959-1972) Probability in topological groups, other structures
-
60.1 (1940-1958) Applications of the theory of probability, economics
-
60.10 (1959-1972) Combinatorial probability
-
60.15 (1959-1972) Geometric probability
-
60.20 (1959-1972) Distributions, characteristic functions (2 articles)
-
60.30 (1959-1972) Limit theorems
-
60.40 (1959-1972) Stochastic processes, general theory (5 articles)
-
60.50 (1959-1972) Stationary processes
-
60.60 (1959-1972) Markov processes, general (2 articles)
-
60.62 (1959-1972) Hunt processes, diffusion processes, Brownian motion, probabilistic potential theory (3 articles)
-
60.65 (1959-1972) Markov chains (4 articles)
-
60.66 (1959-1972) Random walks
-
60.67 (1959-1972) Branching processes; Galton-Watson, birth-and-death processes (3 articles)
-
60.69 (1959-1972) Other special processes
-
60.70 (1959-1972) Renewal theory
-
60.75 (1959-1972) Stochastic differential and integral equations (9 articles)
-
60.80 (1959-1972) Queueing, congestion, allocation, storage (2 articles)
-
60.90 (1959-1972) Other applications
-
60.99 (1959-1972) None of the above, but in this section
-
60Axx Foundations of probability theory (88 articles)
-
60Axx Foundations of probability theory
-
60A05 Axioms; other general questions (30 articles)
-
60A10 Probabilistic measure theory (34 articles)
-
60A99 None of the above, but in this section (24 articles)
-
60Bxx Probability theory on algebraic and topological structures (112 articles)
-
60Bxx Probability theory on algebraic and topological structures (3 articles)
-
60B05 Probability measures on topological spaces (30 articles)
-
60B10 Convergence of probability measures (29 articles)
-
60B11 Probability theory on linear topological spaces (8 articles)
-
60B12 Limit theorems for vector-valued random variables (infinite-dimensional case) (15 articles)
-
60B15 Probability measures on groups, Fourier transforms, factorization (9 articles)
-
60B99 None of the above, but in this section (18 articles)
-
60C05 Combinatorial probability (22 articles)
-
60D05 Geometric probability, stochastic geometry, random sets (43 articles)
-
60Exx Distribution theory (150 articles)
-
60Exx Distribution theory (1 articles)
-
60E05 Distributions: general theory (81 articles)
-
60E07 Infinitely divisible distributions; stable distributions (6 articles)
-
60E10 Characteristic functions; other transforms (11 articles)
-
60E15 Inequalities; stochastic orderings (31 articles)
-
60E99 None of the above, but in this section (20 articles)
-
60Fxx Limit theorems (167 articles)
-
60Gxx Stochastic processes (336 articles)
-
60Hxx Stochastic analysis (169 articles)
-
60Hxx Stochastic analysis
-
60H05 Stochastic integrals (25 articles)
-
60H07 Stochastic calculus of variations and the Malliavin calculus (5 articles)
-
60H10 Stochastic ordinary differential equations (60 articles)
-
60H15 Stochastic partial differential equations (34 articles)
-
60H20 Stochastic integral equations (5 articles)
-
60H25 Random operators and equations (12 articles)
-
60H30 Applications of stochastic analysis (to PDE, etc.) (16 articles)
-
60H35 Computational methods for stochastic equations (5 articles)
-
60H40 White noise theory (2 articles)
-
60H99 None of the above, but in this section (5 articles)
-
60Jxx Markov processes (157 articles)
-
60Jxx Markov processes (3 articles)
-
60J05 Markov processes with discrete parameter (17 articles)
-
60J10 Markov chains with discrete parameter (30 articles)
-
60J20 Applications of discrete Markov processes (social mobility, learning theory, industrial processes, etc.) (13 articles)
-
60J22 Computational methods in Markov chains (3 articles)
-
60J25 Markov processes with continuous parameter (5 articles)
-
60J27 Markov chains with continuous parameter (15 articles)
-
60J35 Transition functions, generators and resolvents (8 articles)
-
60J40 Right processes (1 articles)
-
60J45 Probabilistic potential theory (5 articles)
-
60J50 Boundary theory (3 articles)
-
60J55 Local time and additive functionals (2 articles)
-
60J57 Multiplicative functionals
-
60J60 Diffusion processes (13 articles)
-
60J65 Brownian motion (12 articles)
-
60J70 Applications of diffusion theory (population genetics, absorption problems, etc.) (2 articles)
-
60J75 Jump processes (5 articles)
-
60J80 Branching processes (Galton-Watson, birth-and-death, etc.) (5 articles)
-
60J85 Applications of branching processes
-
60J99 None of the above, but in this section (15 articles)
-
60Kxx Special processes (92 articles)
-
60Kxx Special processes
-
60K05 Renewal theory (5 articles)
-
60K10 Applications (reliability, demand theory, etc.) (19 articles)
-
60K15 Markov renewal processes, semi-Markov processes (2 articles)
-
60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.) (9 articles)
-
60K25 Queueing theory (21 articles)
-
60K30 Applications (congestion, allocation, storage, traffic, etc.) (7 articles)
-
60K35 Interacting random processes; statistical mechanics type models; percolation theory (14 articles)
-
60K37 Processes in random environments (1 articles)
-
60K40 Other physical applications of random processes (3 articles)
-
60K99 None of the above, but in this section (11 articles)
-
62 Statistics (2450 articles)
-
62 Statistics
-
62-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (19 articles)
-
62-01 Instructional exposition (textbooks, tutorial papers, etc.) (7 articles)
-
62-02 Research exposition (monographs, survey articles) (3 articles)
-
62-03 Historical (must also be assigned at least one classification number from Section 01) (7 articles)
-
62-04 Explicit machine computation and programs (not the theory of computation or programming) (8 articles)
-
62-06 Proceedings, conferences, collections, etc. (2 articles)
-
62-07 Data analysis (5 articles)
-
62-09 Graphical methods (6 articles)
-
62.0 (1940-1958) Statistics
-
62.00 (1959-1972) General (3 articles)
-
62.05 (1959-1972) Foundations: axiomatics, sufficiency, invariance, other general considerations (2 articles)
-
62.1 (1940-1958) Actuarial mathematics
-
62.10 (1959-1972) Distribution theory
-
62.15 (1959-1972) Asymptotic theory (1 articles)
-
62.16 (1959-1972) Exact and asymptotic efficiency
-
62.20 (1959-1972) Estimation: parametric case (1 articles)
-
62.25 (1959-1972) Hypothesis testing; parametric case (1 articles)
-
62.30 (1959-1972) Decision theory (6 articles)
-
62.31 (1959-1972) Ranking and selection
-
62.35 (1959-1972) Bayesian inference
-
62.40 (1959-1972) Multivariate analysis
-
62.41 (1959-1972) Classification and discrimination
-
62.45 (1959-1972) Sequential methods (2 articles)
-
62.50 (1959-1972) Information-theoretic methods (3 articles)
-
62.55 (1959-1972) Linear statistical inference, regression analysis (1 articles)
-
62.56 (1959-1972) Analysis of variance; hierarchical models
-
62.60 (1959-1972) Design and analysis of experiments, general
-
62.61 (1959-1972) Construction of designs
-
62.62 (1959-1972) Optimal designs
-
62.63 (1959-1972) Factorial designs
-
62.64 (1959-1972) Paired and multiple comparisons
-
62.70 (1959-1972) Nonparametric methods
-
62.71 (1959-1972) Goodness-of-fit tests
-
62.75 (1959-1972) Order statistics
-
62.80 (1959-1972) Engineering statistics; life testing and reliability, quality control (1 articles)
-
62.85 (1959-1972) Statistical analysis of stochastic processes; time series (4 articles)
-
62.90 (1959-1972) Sample surveys
-
62.95 (1959-1972) Count data, contingency tables
-
62.97 (1959-1972) Biometrics
-
62.99 (1959-1972) Other applications
-
62A01 Foundational and philosophical topics (13 articles)
-
62Bxx Sufficiency and information (115 articles)
-
62Bxx Sufficiency and information
-
62B05 Sufficient statistics and fields (13 articles)
-
62B10 Information-theoretic topics (88 articles)
-
62B15 Theory of statistical experiments (8 articles)
-
62B99 None of the above, but in this section (6 articles)
-
62Cxx Decision theory (57 articles)
-
62Cxx Decision theory
-
62C05 General considerations (8 articles)
-
62C07 Complete class results
-
62C10 Bayesian problems; characterization of Bayes procedures (20 articles)
-
62C12 Empirical decision procedures; empirical Bayes procedures (5 articles)
-
62C15 Admissibility (6 articles)
-
62C20 Minimax procedures (5 articles)
-
62C25 Compound decision problems (2 articles)
-
62C99 None of the above, but in this section (11 articles)
-
62D05 Sampling theory, sample surveys (20 articles)
-
62Exx Distribution theory (180 articles)
-
62Fxx Parametric inference (455 articles)
-
62Gxx Nonparametric inference (288 articles)
-
62Hxx Multivariate analysis (311 articles)
-
62Hxx Multivariate analysis (1 articles)
-
62H05 Characterization and structure theory (45 articles)
-
62H10 Distribution of statistics (24 articles)
-
62H11 Directional data; spatial statistics (1 articles)
-
62H12 Estimation (89 articles)
-
62H15 Hypothesis testing (27 articles)
-
62H17 Contingency tables (10 articles)
-
62H20 Measures of association (correlation, canonical correlation, etc.) (34 articles)
-
62H25 Factor analysis and principal components; correspondence analysis (11 articles)
-
62H30 Classification and discrimination; cluster analysis (41 articles)
-
62H35 Image analysis (2 articles)
-
62H99 None of the above, but in this section (26 articles)
-
62Jxx Linear inference, regression (318 articles)
-
62Kxx Design of experiments (43 articles)
-
62Kxx Design of experiments
-
62K05 Optimal designs (25 articles)
-
62K10 Block designs (4 articles)
-
62K15 Factorial designs (3 articles)
-
62K20 Response surface designs
-
62K25 Robust parameter designs
-
62K99 None of the above, but in this section (11 articles)
-
62Lxx Sequential methods (52 articles)
-
62Mxx Inference from stochastic processes (297 articles)
-
62Nxx Survival analysis and censored data (74 articles)
-
62Pxx Applications (132 articles)
-
62Pxx Applications (2 articles)
-
62P05 Applications to actuarial sciences and financial mathematics (28 articles)
-
62P10 Applications to biology and medical sciences (14 articles)
-
62P12 Applications to environmental and related topics (5 articles)
-
62P15 Applications to psychology (13 articles)
-
62P20 Applications to economics (11 articles)
-
62P25 Applications to social sciences (3 articles)
-
62P30 Applications in engineering and industry (33 articles)
-
62P35 Applications to physics (3 articles)
-
62P99 None of the above, but in this section (20 articles)
-
62Q05 Statistical tables (13 articles)
-
65 Numerical analysis (2888 articles)
-
65 Numerical analysis
-
65-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (15 articles)
-
65-01 Instructional exposition (textbooks, tutorial papers, etc.) (5 articles)
-
65-02 Research exposition (monographs, survey articles) (5 articles)
-
65-03 Historical (must also be assigned at least one classification number from Section 01) (7 articles)
-
65-04 Explicit machine computation and programs (not the theory of computation or programming) (8 articles)
-
65-05 Experimental papers (1 articles)
-
65-06 Proceedings, conferences, collections, etc. (16 articles)
-
65.0 (1940-1958) Numerical analysis
-
65.00 (1959-1972) General (3 articles)
-
65.05 (1959-1972) Tables, construction of tables
-
65.1 (1940-1958) Tables
-
65.10 (1959-1972) General mathematical methods: iteration, acceleration of convergence, numerical experiments (8 articles)
-
65.15 (1959-1972) Monte Carlo methods (1 articles)
-
65.2 (1940-1958) Graphical methods, nomography
-
65.20 (1959-1972) Interpolation, smoothing, least squares, curve fitting, approximation of functions
-
65.25 (1959-1972) Computation of special functions, series, integrals
-
65.3 (1940-1958) Numerical methods
-
65.30 (1959-1972) Mathematical programming and optimization techniques (3 articles)
-
65.33 (1959-1972) Linear inequalities
-
65.35 (1959-1972) Linear equations, determinants, matrices
-
65.40 (1959-1972) Eigenvalues, eigenvectors (3 articles)
-
65.49 (1959-1972) Numerical methods for variational problems and optimal control
-
65.50 (1959-1972) Solution of algebraic and transcendental equations and systems (10 articles)
-
65.55 (1959-1972) Numerical differentiation and integration, quadrature, cubature, etc. (2 articles)
-
65.60 (1959-1972) Ordinary differential equations, general
-
65.61 (1959-1972) Initial value problems (1 articles)
-
65.62 (1959-1972) Boundary value problems
-
65.65 (1959-1972) Partial differential equations, general (2 articles)
-
65.66 (1959-1972) Elliptic equations (2 articles)
-
65.67 (1959-1972) Hyperbolic equations (1 articles)
-
65.68 (1959-1972) Parabolic equations (3 articles)
-
65.70 (1959-1972) Difference and functional equations (1 articles)
-
65.75 (1959-1972) Integral and integro-differential equations (1 articles)
-
65.80 (1959-1972) Error analysis (1 articles)
-
65.82 (1959-1972) Miscellaneous inequalities
-
65.85 (1959-1972) Graphical methods (13 articles)
-
65.90 (1959-1972) Harmonic analysis and synthesis
-
65.99 (1959-1972) None of the above, but in this section
-
65A05 Tables (5 articles)
-
65Bxx Acceleration of convergence (31 articles)
-
65Bxx Acceleration of convergence
-
65B05 Extrapolation to the limit, deferred corrections (17 articles)
-
65B10 Summation of series (2 articles)
-
65B15 Euler-Maclaurin formula (2 articles)
-
65B99 None of the above, but in this section (10 articles)
-
65Cxx Probabilistic methods, simulation and stochastic differential equations (135 articles)
-
65Cxx Probabilistic methods, simulation and stochastic differential equations
-
65C05 Monte Carlo methods (26 articles)
-
65C10 Random number generation (16 articles)
-
65C20 Models, numerical methods (14 articles)
-
65C30 Stochastic differential and integral equations (5 articles)
-
65C35 Stochastic particle methods (1 articles)
-
65C40 Computational Markov chains (12 articles)
-
65C50 Other computational problems in probability (6 articles)
-
65C60 Computational problems in statistics (36 articles)
-
65C99 None of the above, but in this section (19 articles)
-
65Dxx Numerical approximation and computational geometry (259 articles)
-
65Dxx Numerical approximation and computational geometry (2 articles)
-
65D05 Interpolation (68 articles)
-
65D07 Splines (37 articles)
-
65D10 Smoothing, curve fitting (23 articles)
-
65D15 Algorithms for functional approximation (26 articles)
-
65D17 Computer aided design (modeling of curves and surfaces) (11 articles)
-
65D18 Computer graphics and computational geometry (13 articles)
-
65D20 Computation of special functions, construction of tables (13 articles)
-
65D25 Numerical differentiation (10 articles)
-
65D30 Numerical integration (34 articles)
-
65D32 Quadrature and cubature formulas (13 articles)
-
65D99 None of the above, but in this section (9 articles)
-
65E05 Numerical methods in complex analysis (potential theory, etc.) (10 articles)
-
65Fxx Numerical linear algebra (287 articles)
-
65Gxx Error analysis and interval analysis (43 articles)
-
65Gxx Error analysis and interval analysis
-
65G20 Algorithms with automatic result verification (3 articles)
-
65G30 Interval and finite arithmetic (15 articles)
-
65G40 General methods in interval analysis (5 articles)
-
65G50 Roundoff error (9 articles)
-
65G99 None of the above, but in this section (11 articles)
-
65Hxx Nonlinear algebraic or transcendental equations (91 articles)
-
65Hxx Nonlinear algebraic or transcendental equations (1 articles)
-
65H05 Single equations (25 articles)
-
65H10 Systems of equations (57 articles)
-
65H17 Eigenvalues, eigenvectors (5 articles)
-
65H20 Global methods, including homotopy approaches (2 articles)
-
65H99 None of the above, but in this section (1 articles)
-
65Jxx Numerical analysis in abstract spaces (146 articles)
-
65Jxx Numerical analysis in abstract spaces (29 articles)
-
65J05 General theory (32 articles)
-
65J10 Equations with linear operators (do not use 65Fxx) (20 articles)
-
65J15 Equations with nonlinear operators (do not use <A HREF="/msc/65Hxx.html">65Hxx</A>) (44 articles)
-
65J20 Improperly posed problems; regularization (4 articles)
-
65J22 Inverse problems (1 articles)
-
65J99 None of the above, but in this section (16 articles)
-
65Kxx Mathematical programming, optimization and variational techniques (197 articles)
-
65Kxx Mathematical programming, optimization and variational techniques (1 articles)
-
65K05 Mathematical programming (87 articles)
-
65K10 Optimization and variational techniques (103 articles)
-
65K99 None of the above, but in this section (6 articles)
-
65Lxx Ordinary differential equations (257 articles)
-
65Lxx Ordinary differential equations
-
65L05 Initial value problems (76 articles)
-
65L06 Multistep, Runge-Kutta and extrapolation methods (23 articles)
-
65L07 Numerical investigation of stability of solutions (12 articles)
-
65L08 Improperly posed problems
-
65L09 Inverse problems (1 articles)
-
65L10 Boundary value problems (49 articles)
-
65L12 Finite difference methods (7 articles)
-
65L15 Eigenvalue problems (16 articles)
-
65L20 Stability and convergence of numerical methods (24 articles)
-
65L50 Mesh generation and refinement (3 articles)
-
65L60 Finite elements, Rayleigh-Ritz, Galerkin and collocation methods (23 articles)
-
65L70 Error bounds (8 articles)
-
65L80 Methods for differential-algebraic equations (2 articles)
-
65L99 None of the above, but in this section (13 articles)
-
65Mxx Partial differential equations, initial value and time-dependent initial-boundary value problems (382 articles)
-
65Mxx Partial differential equations, initial value and time-dependent initial-boundary value problems (1 articles)
-
65M06 Finite difference methods (37 articles)
-
65M12 Stability and convergence of numerical methods (57 articles)
-
65M15 Error bounds (48 articles)
-
65M20 Method of lines (38 articles)
-
65M25 Method of characteristics (8 articles)
-
65M30 Improperly posed problems (4 articles)
-
65M32 Inverse problems (10 articles)
-
65M50 Mesh generation and refinement (12 articles)
-
65M55 Multigrid methods; domain decomposition (14 articles)
-
65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (112 articles)
-
65M70 Spectral, collocation and related methods (15 articles)
-
65M99 None of the above, but in this section (26 articles)
-
65Nxx Partial differential equations, boundary value problems (716 articles)
-
65Nxx Partial differential equations, boundary value problems (2 articles)
-
65N06 Finite difference methods (14 articles)
-
65N12 Stability and convergence of numerical methods (59 articles)
-
65N15 Error bounds (103 articles)
-
65N21 Inverse problems (6 articles)
-
65N22 Solution of discretized equations (30 articles)
-
65N25 Eigenvalue problems (29 articles)
-
65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (334 articles)
-
65N35 Spectral, collocation and related methods (17 articles)
-
65N38 Boundary element methods (10 articles)
-
65N40 Method of lines (11 articles)
-
65N45 Method of contraction of the boundary
-
65N50 Mesh generation and refinement (35 articles)
-
65N55 Multigrid methods; domain decomposition (37 articles)
-
65N99 None of the above, but in this section (29 articles)
-
65Pxx Numerical problems in dynamical systems (10 articles)
-
65Pxx Numerical problems in dynamical systems (1 articles)
-
65P10 Hamiltonian systems including symplectic integrators
-
65P20 Numerical chaos (2 articles)
-
65P30 Bifurcation problems (5 articles)
-
65P40 Nonlinear stabilities (1 articles)
-
65P99 None of the above, but in this section (1 articles)
-
65Q05 Difference and functional equations, recurrence relations (15 articles)
-
65Rxx Integral equations, integral transforms (59 articles)
-
65Rxx Integral equations, integral transforms (1 articles)
-
65R10 Integral transforms (10 articles)
-
65R20 Integral equations (46 articles)
-
65R30 Improperly posed problems
-
65R32 Inverse problems (1 articles)
-
65R99 None of the above, but in this section (1 articles)
-
65S05 Graphical methods (16 articles)
-
65Txx Numerical methods in Fourier analysis (39 articles)
-
65Txx Numerical methods in Fourier analysis
-
65T40 Trigonometric approximation and interpolation (7 articles)
-
65T50 Discrete and fast Fourier transforms (12 articles)
-
65T60 Wavelets (18 articles)
-
65T99 None of the above, but in this section (2 articles)
-
65Yxx Computer aspects of numerical algorithms (47 articles)
-
65Yxx Computer aspects of numerical algorithms
-
65Y05 Parallel computation (21 articles)
-
65Y10 Algorithms for specific classes of architectures (3 articles)
-
65Y15 Packaged methods (2 articles)
-
65Y20 Complexity and performance of numerical algorithms (21 articles)
-
65Y99 None of the above, but in this section
-
65Z05 Applications to physics (31 articles)
-
68 Computer science (1166 articles)
-
68 Computer science
-
68-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (9 articles)
-
68-01 Instructional exposition (textbooks, tutorial papers, etc.) (5 articles)
-
68-02 Research exposition (monographs, survey articles) (4 articles)
-
68-03 Historical (must also be assigned at least one classification number from Section 01) (8 articles)
-
68-04 Explicit machine computation and programs (not the theory of computation or programming) (2 articles)
-
68-06 Proceedings, conferences, collections, etc. (31 articles)
-
68.0 (1940-1958) Computing machines and modeling
-
68.00 (1959-1972) General (8 articles)
-
68Mxx Computer system organization (20 articles)
-
68Mxx Computer system organization
-
68M01 General (1 articles)
-
68M07 Mathematical problems of computer architecture (1 articles)
-
68M10 Network design and communication (10 articles)
-
68M12 Network protocols (3 articles)
-
68M14 Distributed systems
-
68M15 Reliability, testing and fault tolerance (3 articles)
-
68M20 Performance evaluation; queueing; scheduling (1 articles)
-
68M99 None of the above, but in this section (1 articles)
-
68Nxx Software (51 articles)
-
68Nxx Software (1 articles)
-
68N01 General (11 articles)
-
68N15 Programming languages (11 articles)
-
68N17 Logic programming (4 articles)
-
68N18 Functional programming and lambda calculus
-
68N19 Other programming techniques (object-oriented, sequential, concurrent, automatic, etc.) (5 articles)
-
68N20 Compilers and interpreters (9 articles)
-
68N25 Operating systems (1 articles)
-
68N30 Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.) (2 articles)
-
68N99 None of the above, but in this section (7 articles)
-
68Pxx Theory of data (62 articles)
-
68Pxx Theory of data (1 articles)
-
68P01 General
-
68P05 Data structures (10 articles)
-
68P10 Searching and sorting (9 articles)
-
68P15 Database theory (8 articles)
-
68P20 Information storage and retrieval (12 articles)
-
68P25 Data encryption (3 articles)
-
68P30 Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (3 articles)
-
68P99 None of the above, but in this section (16 articles)
-
68Qxx Theory of computing (336 articles)
-
68Qxx Theory of computing (1 articles)
-
68Q01 General (1 articles)
-
68Q05 Models of computation (Turing machines, etc.) (19 articles)
-
68Q10 Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) (5 articles)
-
68Q15 Complexity classes (hierarchies, relations among complexity classes, etc.) (12 articles)
-
68Q17 Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (5 articles)
-
68Q19 Descriptive complexity and finite models
-
68Q25 Analysis of algorithms and problem complexity (71 articles)
-
68Q30 Algorithmic information theory (Kolmogorov complexity, etc.) (6 articles)
-
68Q32 Computational learning theory (2 articles)
-
68Q42 Grammars and rewriting systems (24 articles)
-
68Q45 Formal languages and automata (135 articles)
-
68Q55 Semantics (9 articles)
-
68Q60 Specification and verification (program logics, model checking, etc.) (3 articles)
-
68Q65 Abstract data types; algebraic specification (4 articles)
-
68Q70 Algebraic theory of languages and automata (17 articles)
-
68Q80 Cellular automata (4 articles)
-
68Q85 Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) (8 articles)
-
68Q99 None of the above, but in this section (10 articles)
-
68Rxx Discrete mathematics in relation to computer science (53 articles)
-
68Txx Artificial intelligence (315 articles)
-
68Txx Artificial intelligence (1 articles)
-
68T01 General (5 articles)
-
68T05 Learning and adaptive systems (43 articles)
-
68T10 Pattern recognition, speech recognition (52 articles)
-
68T15 Theorem proving (deduction, resolution, etc.) (34 articles)
-
68T20 Problem solving (heuristics, search strategies, etc.) (18 articles)
-
68T27 Logic in artificial intelligence (6 articles)
-
68T30 Knowledge representation (38 articles)
-
68T35 Languages and software systems (knowledge-based systems, expert systems, etc.) (19 articles)
-
68T37 Reasoning under uncertainty (59 articles)
-
68T40 Robotics (8 articles)
-
68T45 Machine vision and scene understanding (3 articles)
-
68T50 Natural language processing (17 articles)
-
68T99 None of the above, but in this section (12 articles)
-
68Uxx Computing methodologies and applications (203 articles)
-
68Uxx Computing methodologies and applications (1 articles)
-
68U01 General
-
68U05 Computer graphics; computational geometry (11 articles)
-
68U07 Computer-aided design (1 articles)
-
68U10 Image processing (73 articles)
-
68U15 Text processing; mathematical typography (55 articles)
-
68U20 Simulation (23 articles)
-
68U35 Information systems (hypertext navigation, interfaces, decision support, etc.) (6 articles)
-
68U99 None of the above, but in this section (33 articles)
-
68Wxx Algorithms (59 articles)
-
69 (1940-1972) General applied mathematics
-
69 (1940-1972) General applied mathematics
-
69.00 (1959-1979) General applied mathematics
-
70 Mechanics of particles and systems (280 articles)
-
70 Mechanics of particles and systems
-
70-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (6 articles)
-
70-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
70-02 Research exposition (monographs, survey articles) (2 articles)
-
70-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
70-04 Explicit machine computation and programs (not the theory of computation or programming)
-
70-05 Experimental work
-
70-06 Proceedings, conferences, collections, etc.
-
70-08 Computational methods (1 articles)
-
70.0 (1940-1958) Mechanics of particles and systems
-
70.00 (1959-1979) General (1 articles)
-
70.01 (1959-1979) History and biography
-
70.02 (1959-1979) Logic and foundations
-
70.04 (1959-1972) Set theory
-
70.05 (1959-1972) Combinatorics
-
70.06 (1959-1972) Order, lattices, ordered algebraic structures
-
70.08 (1959-1972) General mathematical systems
-
70.1 (1940-1958) Dynamics, celestial mechanics
-
70.10 (1959-1979) Number theory
-
70.12 (1959-1972) Field theory and polynomials
-
70.13 (1959-1972) Commutative rings and algebras
-
70.14 (1959-1972) Algebraic geometry
-
70.15 (1959-1979) Linear and multilinear algebra; matrix theory
-
70.16 (1959-1979) Associative rings and algebras
-
70.17 (1959-1979) Nonassociative rings and algebras
-
70.18 (1959-1972) Category theory, homological algebra
-
70.20 (1959-1979) Group theory and generalizations
-
70.22 (1959-1979) Topological groups, Lie groups
-
70.26 (1959-1979) Real functions
-
70.28 (1959-1979) Measure and integration
-
70.30 (1959-1979) Functions of a complex variable
-
70.31 (1959-1979) Potential theory
-
70.32 (1959-1972) Several complex variables and analytic spaces
-
70.33 (1959-1979) Special functions
-
70.34 (1959-1979) Ordinary differential equations
-
70.35 (1959-1979) Partial differential equations
-
70.39 (1959-1979) Finite differences and functional equations
-
70.40 (1959-1979) Sequences, series, summability
-
70.41 (1959-1979) Approximations and expansions
-
70.42 (1959-1979) Fourier analysis
-
70.44 (1959-1972) Integral transforms, operational calculus
-
70.45 (1959-1979) Integral equations
-
70.46 (1959-1979) Functional analysis
-
70.47 (1959-1979) Operator theory
-
70.49 (1959-1979) Calculus of variations and optimal control
-
70.50 (1959-1979) Geometry
-
70.52 (1959-1972) Convex sets and geometric inequalities
-
70.53 (1959-1979) Differential geometry
-
70.54 (1959-1979) General topology
-
70.55 (1959-1972) Algebraic topology
-
70.57 (1959-1979) Manifolds and cell complexes
-
70.58 (1973-1979) Global analysis, analysis on manifolds
-
70.60 (1959-1979) Probability theory and stochastic processes
-
70.62 (1959-1979) Statistics
-
70.65 (1959-1979) Numerical analysis
-
70.90 (1959-1972) Economics, operations research, programming, games
-
70.93 (1959-1972) Systems, control
-
70.94 (1959-1972) Information and communication, circuits, automata
-
70.99 (1959-1972) None of the above, but in this section
-
70A05 Axiomatics, foundations (2 articles)
-
70Bxx Kinematics (22 articles)
-
70C20 Statics (3 articles)
-
70Exx Dynamics of a rigid body and of multibody systems (24 articles)
-
70Exx Dynamics of a rigid body and of multibody systems (1 articles)
-
70E05 Motion of the gyroscope (3 articles)
-
70E15 Free motion of a rigid body (3 articles)
-
70E17 Motion of a rigid body with a fixed point
-
70E18 Motion of a rigid body in contact with a solid surface (1 articles)
-
70E20 Perturbation methods for rigid body dynamics
-
70E40 Integrable cases of motion
-
70E45 Higher-dimensional generalizations
-
70E50 Stability problems (1 articles)
-
70E55 Dynamics of multibody systems (3 articles)
-
70E60 Robot dynamics and control (11 articles)
-
70E99 None of the above, but in this section (1 articles)
-
70Fxx Dynamics of a system of particles, including celestial mechanics (33 articles)
-
70Gxx General models, approaches, and methods (35 articles)
-
70Gxx General models, approaches, and methods (1 articles)
-
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space (3 articles)
-
70G40 Topological and differential-topological methods
-
70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) (20 articles)
-
70G55 Algebraic geometry methods (1 articles)
-
70G60 Dynamical systems methods (2 articles)
-
70G65 Symmetries, Lie-group and Lie-algebra methods (1 articles)
-
70G70 Functional-analytic methods
-
70G75 Variational methods (4 articles)
-
70G99 None of the above, but in this section (3 articles)
-
70Hxx Hamiltonian and Lagrangian mechanics (70 articles)
-
70Hxx Hamiltonian and Lagrangian mechanics (1 articles)
-
70H03 Lagrange's equations (22 articles)
-
70H05 Hamilton's equations (15 articles)
-
70H06 Completely integrable systems and methods of integration (2 articles)
-
70H07 Nonintegrable systems
-
70H08 Nearly integrable Hamiltonian systems, KAM theory
-
70H09 Perturbation theories
-
70H11 Adiabatic invariants
-
70H12 Periodic and almost periodic solutions (1 articles)
-
70H14 Stability problems (1 articles)
-
70H15 Canonical and symplectic transformations (2 articles)
-
70H20 Hamilton-Jacobi equations (2 articles)
-
70H25 Hamilton's principle (1 articles)
-
70H30 Other variational principles (3 articles)
-
70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction (8 articles)
-
70H40 Relativistic dynamics (2 articles)
-
70H45 Constrained dynamics, Dirac's theory of constraints (5 articles)
-
70H50 Higher-order theories (2 articles)
-
70H99 None of the above, but in this section (3 articles)
-
70Jxx Linear vibration theory (1 articles)
-
70Jxx Linear vibration theory
-
70J10 Modal analysis
-
70J25 Stability (1 articles)
-
70J30 Free motions
-
70J35 Forced motions
-
70J40 Parametric resonances
-
70J50 Systems arising from the discretization of structural vibration problems
-
70J99 None of the above, but in this section
-
70Kxx Nonlinear dynamics (30 articles)
-
70Kxx Nonlinear dynamics
-
70K05 Phase plane analysis, limit cycles (3 articles)
-
70K20 Stability (5 articles)
-
70K25 Free motions
-
70K28 Parametric resonances
-
70K30 Nonlinear resonances (6 articles)
-
70K40 Forced motions (5 articles)
-
70K42 Equilibria and periodic trajectories (2 articles)
-
70K43 Quasi-periodic motions and invariant tori
-
70K44 Homoclinic and heteroclinic trajectories (1 articles)
-
70K45 Normal forms
-
70K50 Bifurcations and instability (3 articles)
-
70K55 Transition to stochasticity (chaotic behavior) (2 articles)
-
70K60 General perturbation schemes
-
70K65 Averaging of perturbations
-
70K70 Systems with slow and fast motions
-
70K75 Nonlinear modes
-
70K99 None of the above, but in this section (3 articles)
-
70L05 Random vibrations (3 articles)
-
70M20 Orbital mechanics (1 articles)
-
70P05 Variable mass, rockets
-
70Q05 Control of mechanical systems (19 articles)
-
70Sxx Classical field theories (25 articles)
-
70Sxx Classical field theories (1 articles)
-
70S05 Lagrangian formalism and Hamiltonian formalism (11 articles)
-
70S10 Symmetries and conservation laws (10 articles)
-
70S15 Yang-Mills and other gauge theories (2 articles)
-
70S20 More general nonquantum field theories (1 articles)
-
70S99 None of the above, but in this section
-
71 (1940-1958) Mechanics
-
71 (1940-1958) Mechanics
-
71.0 (1940-1958) Mechanics
-
73 (1940-1999) Mechanics of solids (28 articles)
-
73 (1940-1999) Mechanics of solids
-
73-00 (1985-1999) General reference works (handbooks, dictionaries, bibliographies, etc.) (12 articles)
-
73-01 (1980-1999) Instructional exposition (textbooks, tutorial papers, etc.)
-
73-02 (1980-1999) Research exposition (monographs, survey articles)
-
73-03 (1980-1999) Historical (must also be assigned at least one classification number from section 01)
-
73-04 (1980-1999) Explicit machine computation and programs (not the theory of computation or programming)
-
73-05 (1980-1999) Experimental papers
-
73-06 (1980-1999) Proceedings, conferences, collections, etc.
-
73-08 (1980-1990) Computational methods (4 articles)
-
73.00 (1959-1979) General (4 articles)
-
73.01 (1959-1979) History and biography
-
73.02 (1959-1979) Logic and foundations
-
73.04 (1959-1972) Set theory
-
73.05 (1959-1979) Combinatorics
-
73.06 (1959-1979) Order, lattices, ordered algebraic structures
-
73.08 (1959-1972) General mathematical systems
-
73.1 (1940-1958) Mechanics of continua
-
73.10 (1959-1972) Number theory
-
73.12 (1959-1972) Field theory and polynomials
-
73.13 (1959-1972) Commutative rings and algebras
-
73.14 (1959-1972) Algebraic geometry (1 articles)
-
73.15 (1959-1979) Linear and multilinear algebra; matrix theory
-
73.16 (1959-1972) Associative rings and algebras
-
73.17 (1959-1979) Nonassociative rings and algebras
-
73.18 (1959-1972) Category theory, homological algebra
-
73.2 (1940-1958) Elasticity, viscoplasticity, plasticity
-
73.20 (1959-1979) Group theory and generalizations
-
73.22 (1959-1979) Topological groups, Lie groups
-
73.26 (1959-1979) Real functions
-
73.28 (1959-1979) Measure and integration
-
73.30 (1959-1979) Functions of a complex variable
-
73.31 (1959-1979) Potential theory
-
73.32 (1959-1979) Several complex variables and analytic spaces
-
73.33 (1959-1979) Special functions
-
73.34 (1959-1979) Ordinary differential equations
-
73.35 (1959-1979) Partial differential equations (1 articles)
-
73.39 (1959-1979) Finite differences and functional equations
-
73.40 (1959-1979) Sequences, series, summability
-
73.41 (1959-1979) Approximations and expansions
-
73.42 (1959-1979) Fourier analysis
-
73.43 (1973-1979) Abstract harmonic analysis
-
73.44 (1959-1979) Integral transforms, operational calculus (1 articles)
-
73.45 (1959-1979) Integral equations
-
73.46 (1959-1979) Functional analysis
-
73.47 (1959-1979) Operator theory
-
73.49 (1959-1979) Calculus of variations and optimal control (1 articles)
-
73.50 (1959-1972) Geometry
-
73.52 (1959-1972) Convex sets and geometric inequalities
-
73.53 (1959-1979) Differential geometry
-
73.54 (1959-1979) General topology
-
73.55 (1959-1979) Algebraic topology
-
73.57 (1959-1979) Manifolds and cell complexes
-
73.58 (1973-1979) Global analysis, analysis on manifolds
-
73.60 (1959-1979) Probability theory and stochastic processes
-
73.62 (1959-1979) Statistics
-
73.65 (1959-1979) Numerical analysis (1 articles)
-
73.90 (1959-1972) Economics, operations research, programming, games
-
73.93 (1959-1972) Systems, control
-
73.94 (1959-1972) Information and communication, circuits, automata
-
73.99 (1959-1972) None of the above, but in this section (3 articles)
-
74 Mechanics of deformable solids (870 articles)
-
74 Mechanics of deformable solids
-
74-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
74-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
74-02 Research exposition (monographs, survey articles) (1 articles)
-
74-03 Historical (must also be assigned at least one classification number from Section 01) (1 articles)
-
74-04 Explicit machine computation and programs (not the theory of computation or programming) (2 articles)
-
74-05 Experimental work
-
74-06 Proceedings, conferences, collections, etc. (3 articles)
-
74Axx Generalities, axiomatics, foundations of continuum mechanics of solids (53 articles)
-
74Axx Generalities, axiomatics, foundations of continuum mechanics of solids
-
74A05 Kinematics of deformation (1 articles)
-
74A10 Stress (1 articles)
-
74A15 Thermodynamics (11 articles)
-
74A20 Theory of constitutive functions (5 articles)
-
74A25 Molecular, statistical, and kinetic theories
-
74A30 Nonsimple materials
-
74A35 Polar materials (3 articles)
-
74A40 Random materials and composite materials (1 articles)
-
74A45 Theories of fracture and damage (4 articles)
-
74A50 Structured surfaces and interfaces, coexistent phases (2 articles)
-
74A55 Theories of friction (tribology) (24 articles)
-
74A60 Micromechanical theories (1 articles)
-
74A65 Reactive materials
-
74A99 None of the above, but in this section
-
74Bxx Elastic materials (82 articles)
-
74Bxx Elastic materials (2 articles)
-
74B05 Classical linear elasticity (18 articles)
-
74B10 Linear elasticity with initial stresses (5 articles)
-
74B15 Equations linearized about a deformed state (small deformations superposed on large)
-
74B20 Nonlinear elasticity (23 articles)
-
74B99 None of the above, but in this section (34 articles)
-
74Cxx Plastic materials, materials of stress-rate and internal-variable type (37 articles)
-
74Cxx Plastic materials, materials of stress-rate and internal-variable type
-
74C05 Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials) (12 articles)
-
74C10 Small-strain, rate-dependent theories (including theories of viscoplasticity) (7 articles)
-
74C15 Large-strain, rate-independent theories (including nonlinear plasticity) (6 articles)
-
74C20 Large-strain, rate-dependent theories
-
74C99 None of the above, but in this section (12 articles)
-
74Dxx Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (31 articles)
-
74Dxx Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
-
74D05 Linear constitutive equations (7 articles)
-
74D10 Nonlinear constitutive equations (13 articles)
-
74D99 None of the above, but in this section (11 articles)
-
74Exx Material properties given special treatment (25 articles)
-
74Exx Material properties given special treatment
-
74E05 Inhomogeneity (5 articles)
-
74E10 Anisotropy (5 articles)
-
74E15 Crystalline structure (8 articles)
-
74E20 Granularity (1 articles)
-
74E25 Texture
-
74E30 Composite and mixture properties (6 articles)
-
74E35 Random structure
-
74E40 Chemical structure
-
74E99 None of the above, but in this section
-
74Fxx Coupling of solid mechanics with other effects (31 articles)
-
74Fxx Coupling of solid mechanics with other effects
-
74F05 Thermal effects (13 articles)
-
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (15 articles)
-
74F15 Electromagnetic effects (2 articles)
-
74F20 Mixture effects
-
74F25 Chemical and reactive effects (1 articles)
-
74F99 None of the above, but in this section
-
74Gxx Equilibrium (steady-state) problems (55 articles)
-
74Gxx Equilibrium (steady-state) problems
-
74G05 Explicit solutions
-
74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) (3 articles)
-
74G15 Numerical approximation of solutions (8 articles)
-
74G20 Local existence of solutions (near a given solution) (2 articles)
-
74G25 Global existence of solutions (3 articles)
-
74G30 Uniqueness of solutions (14 articles)
-
74G35 Multiplicity of solutions (1 articles)
-
74G40 Regularity of solutions
-
74G45 Bounds for solutions
-
74G50 Saint-Venant's principle (2 articles)
-
74G55 Qualitative behavior of solutions (1 articles)
-
74G60 Bifurcation and buckling (13 articles)
-
74G65 Energy minimization (4 articles)
-
74G70 Stress concentrations, singularities (1 articles)
-
74G75 Inverse problems
-
74G99 None of the above, but in this section (3 articles)
-
74Hxx Dynamical problems (110 articles)
-
74Jxx Waves (9 articles)
-
74Jxx Waves
-
74J05 Linear waves (1 articles)
-
74J10 Bulk waves (1 articles)
-
74J15 Surface waves (3 articles)
-
74J20 Wave scattering (1 articles)
-
74J25 Inverse problems
-
74J30 Nonlinear waves (2 articles)
-
74J35 Solitary waves
-
74J40 Shocks and related discontinuities
-
74J99 None of the above, but in this section (1 articles)
-
74Kxx Thin bodies, structures (119 articles)
-
74Lxx Special subfields of solid mechanics (8 articles)
-
74Lxx Special subfields of solid mechanics
-
74L05 Geophysical solid mechanics (2 articles)
-
74L10 Soil and rock mechanics (5 articles)
-
74L15 Biomechanical solid mechanics
-
74L99 None of the above, but in this section (1 articles)
-
74Mxx Special kinds of problems (82 articles)
-
74Mxx Special kinds of problems
-
74M05 Control, switches and devices (``smart materials'') (4 articles)
-
74M10 Friction (21 articles)
-
74M15 Contact (53 articles)
-
74M20 Impact (1 articles)
-
74M25 Micromechanics (3 articles)
-
74M99 None of the above, but in this section
-
74Nxx Phase transformations in solids (14 articles)
-
74Nxx Phase transformations in solids
-
74N05 Crystals (2 articles)
-
74N10 Displacive transformations
-
74N15 Analysis of microstructure (1 articles)
-
74N20 Dynamics of phase boundaries (1 articles)
-
74N25 Transformations involving diffusion (2 articles)
-
74N30 Problems involving hysteresis (6 articles)
-
74N99 None of the above, but in this section (2 articles)
-
74Pxx Optimization (43 articles)
-
74Pxx Optimization
-
74P05 Compliance or weight optimization (2 articles)
-
74P10 Optimization of other properties (13 articles)
-
74P15 Topological methods (1 articles)
-
74P20 Geometrical methods (1 articles)
-
74P99 None of the above, but in this section (26 articles)
-
74Qxx Homogenization, determination of effective properties (17 articles)
-
74Qxx Homogenization, determination of effective properties (1 articles)
-
74Q05 Homogenization in equilibrium problems (4 articles)
-
74Q10 Homogenization and oscillations in dynamical problems (4 articles)
-
74Q15 Effective constitutive equations (5 articles)
-
74Q20 Bounds on effective properties (3 articles)
-
74Q99 None of the above, but in this section
-
74Rxx Fracture and damage (9 articles)
-
74Rxx Fracture and damage
-
74R05 Brittle damage
-
74R10 Brittle fracture (5 articles)
-
74R15 High-velocity fracture
-
74R20 Anelastic fracture and damage
-
74R99 None of the above, but in this section (4 articles)
-
74Sxx Numerical methods (137 articles)
-
76 Fluid mechanics (625 articles)
-
76 Fluid mechanics
-
76-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (7 articles)
-
76-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
76-02 Research exposition (monographs, survey articles) (2 articles)
-
76-03 Historical (must also be assigned at least one classification number from Section 01)
-
76-04 Explicit machine computation and programs (not the theory of computation or programming)
-
76-05 Experimental work
-
76-06 Proceedings, conferences, collections, etc. (7 articles)
-
76-08 (1980-1990) Computational methods (2 articles)
-
76.0 (1940-1958) Fluid mechanics, acoustics
-
76.00 (1959-1979) General (2 articles)
-
76.01 (1959-1979) History and biography
-
76.02 (1959-1979) Logic and foundations
-
76.04 (1959-1972) Set theory
-
76.05 (1959-1979) Combinatorics
-
76.06 (1959-1979) Order, lattices, ordered algebraic structures
-
76.08 (1959-1972) General mathematical systems
-
76.1 (1940-1958) Hydrodynamics, aerodynamics, acoustics
-
76.10 (1959-1972) Number theory
-
76.12 (1959-1972) Field theory and polynomials
-
76.13 (1959-1972) Commutative rings and algebras
-
76.14 (1959-1972) Algebraic geometry
-
76.15 (1959-1979) Linear and multilinear algebra; matrix theory
-
76.16 (1959-1972) Associative rings and algebras
-
76.17 (1959-1972) Nonassociative rings and algebras
-
76.18 (1959-1972) Category theory, homological algebra
-
76.20 (1959-1979) Group theory and generalizations
-
76.22 (1959-1979) Topological groups, Lie groups
-
76.26 (1959-1979) Real functions
-
76.28 (1959-1979) Measure and integration
-
76.30 (1959-1979) Functions of a complex variable (1 articles)
-
76.31 (1959-1979) Potential theory
-
76.32 (1959-1972) Several complex variables and analytic spaces
-
76.33 (1959-1979) Special functions
-
76.34 (1959-1979) Ordinary differential equations
-
76.35 (1959-1979) Partial differential equations (1 articles)
-
76.39 (1959-1979) Finite differences and functional equations
-
76.40 (1959-1979) Sequences, series, summability
-
76.41 (1959-1979) Approximations and expansions
-
76.42 (1959-1979) Fourier analysis
-
76.44 (1959-1979) Integral transforms, operational calculus
-
76.45 (1959-1979) Integral equations
-
76.46 (1959-1979) Functional analysis
-
76.47 (1959-1979) Operator theory
-
76.49 (1959-1979) Calculus of variations and optimal control
-
76.50 (1959-1979) Geometry
-
76.52 (1959-1979) Convex sets and geometric inequalities
-
76.53 (1959-1979) Differential geometry
-
76.54 (1959-1979) General topology
-
76.55 (1959-1972) Algebraic topology
-
76.57 (1959-1979) Manifolds and cell complexes
-
76.58 (1973-1979) Global analysis, analysis on manifolds
-
76.60 (1959-1979) Probability theory and stochastic processes
-
76.62 (1959-1979) Statistics
-
76.65 (1959-1979) Numerical analysis (1 articles)
-
76.90 (1959-1972) Economics, operations research, programming, games
-
76.93 (1959-1972) Systems, control
-
76.94 (1959-1972) Information and communication, circuits, automata
-
76.99 (1959-1972) None of the above, but in this section (1 articles)
-
76Axx Foundations, constitutive equations, rheology (50 articles)
-
76Axx Foundations, constitutive equations, rheology
-
76A02 Foundations of fluid mechanics (6 articles)
-
76A05 Non-Newtonian fluids (30 articles)
-
76A10 Viscoelastic fluids (9 articles)
-
76A15 Liquid crystals (2 articles)
-
76A20 Thin fluid films
-
76A25 Superfluids (classical aspects)
-
76A99 None of the above, but in this section (3 articles)
-
76Bxx Incompressible inviscid fluids (28 articles)
-
76Bxx Incompressible inviscid fluids
-
76B03 Existence, uniqueness, and regularity theory (2 articles)
-
76B07 Free-surface potential flows (1 articles)
-
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (5 articles)
-
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction (10 articles)
-
76B20 Ship waves
-
76B25 Solitary waves
-
76B45 Capillarity (surface tension) (1 articles)
-
76B47 Vortex flows (3 articles)
-
76B55 Internal waves
-
76B60 Atmospheric waves
-
76B65 Rossby waves
-
76B70 Stratification effects in inviscid fluids
-
76B75 Flow control and optimization
-
76B99 None of the above, but in this section (6 articles)
-
76Dxx Incompressible viscous fluids (198 articles)
-
76Dxx Incompressible viscous fluids
-
76D03 Existence, uniqueness, and regularity theory (47 articles)
-
76D05 Navier-Stokes equations (101 articles)
-
76D06 Statistical solutions of Navier-Stokes and related equations (4 articles)
-
76D07 Stokes and related (Oseen, etc.) flows (28 articles)
-
76D08 Lubrication theory (2 articles)
-
76D09 Viscous-inviscid interaction
-
76D10 Boundary-layer theory, separation and reattachment, higher-order effects (4 articles)
-
76D17 Viscous vortex flows
-
76D25 Wakes and jets
-
76D27 Other free-boundary flows; Hele-Shaw flows
-
76D33 Waves (1 articles)
-
76D45 Capillarity (surface tension) (1 articles)
-
76D50 Stratification effects in viscous fluids
-
76D55 Flow control and optimization (4 articles)
-
76D99 None of the above, but in this section (6 articles)
-
76Exx Hydrodynamic stability (7 articles)
-
76Exx Hydrodynamic stability (1 articles)
-
76E05 Parallel shear flows (1 articles)
-
76E06 Convection (1 articles)
-
76E07 Rotation
-
76E09 Stability and instability of nonparallel flows
-
76E15 Absolute and convective instability and stability
-
76E17 Interfacial stability and instability
-
76E19 Compressibility effects
-
76E20 Stability and instability of geophysical and astrophysical flows
-
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
-
76E30 Nonlinear effects (3 articles)
-
76E99 None of the above, but in this section (1 articles)
-
76Fxx Turbulence (16 articles)
-
76Fxx Turbulence
-
76F02 Fundamentals (1 articles)
-
76F05 Isotropic turbulence; homogeneous turbulence (3 articles)
-
76F06 Transition to turbulence
-
76F10 Shear flows (1 articles)
-
76F20 Dynamical systems approach to turbulence (1 articles)
-
76F25 Turbulent transport, mixing (1 articles)
-
76F30 Renormalization and other field-theoretical methods
-
76F35 Convective turbulence
-
76F40 Turbulent boundary layers (1 articles)
-
76F45 Stratification effects
-
76F50 Compressibility effects
-
76F55 Statistical turbulence modeling (1 articles)
-
76F60 $k$-$varepsilon$ modeling (1 articles)
-
76F65 Direct numerical and large eddy simulation of turbulence (3 articles)
-
76F70 Control of turbulent flows
-
76F99 None of the above, but in this section (3 articles)
-
76G25 General aerodynamics and subsonic flows (9 articles)
-
76H05 Transonic flows (17 articles)
-
76J20 Supersonic flows (1 articles)
-
76K05 Hypersonic flows (1 articles)
-
76L05 Shock waves and blast waves (3 articles)
-
76Mxx Basic methods in fluid mechanics (103 articles)
-
76Mxx Basic methods in fluid mechanics
-
76M10 Finite element methods (34 articles)
-
76M12 Finite volume methods (20 articles)
-
76M15 Boundary element methods
-
76M20 Finite difference methods (4 articles)
-
76M22 Spectral methods (1 articles)
-
76M23 Vortex methods
-
76M25 Other numerical methods (18 articles)
-
76M27 Visualization algorithms
-
76M28 Particle methods and lattice-gas methods (1 articles)
-
76M30 Variational methods (4 articles)
-
76M35 Stochastic analysis (5 articles)
-
76M40 Complex-variables methods (1 articles)
-
76M45 Asymptotic methods, singular perturbations (2 articles)
-
76M50 Homogenization (4 articles)
-
76M55 Dimensional analysis and similarity
-
76M60 Symmetry analysis, Lie group and algebra methods (2 articles)
-
76M99 None of the above, but in this section (7 articles)
-
76Nxx Compressible fluids and gas dynamics, general (77 articles)
-
76Nxx Compressible fluids and gas dynamics, general (1 articles)
-
76N10 Existence, uniqueness, and regularity theory (43 articles)
-
76N15 Gas dynamics, general (25 articles)
-
76N17 Viscous-inviscid interaction (1 articles)
-
76N20 Boundary-layer theory (1 articles)
-
76N25 Flow control and optimization
-
76N99 None of the above, but in this section (6 articles)
-
76P05 Rarefied gas flows, Boltzmann equation (5 articles)
-
76Q05 Hydro- and aero-acoustics (2 articles)
-
76Rxx Diffusion and convection (11 articles)
-
76S05 Flows in porous media; filtration; seepage (30 articles)
-
76Txx Two-phase and multiphase flows (12 articles)
-
76Txx Two-phase and multiphase flows (1 articles)
-
76T10 Liquid-gas two-phase flows, bubbly flows (2 articles)
-
76T15 Dusty-gas two-phase flows (1 articles)
-
76T20 Suspensions (1 articles)
-
76T25 Granular flows
-
76T30 Three or more component flows
-
76T99 None of the above, but in this section (7 articles)
-
76U05 Rotating fluids (4 articles)
-
76V05 Reaction effects in flows (4 articles)
-
76W05 Magnetohydrodynamics and electrohydrodynamics (15 articles)
-
76X05 Ionized gas flow in electromagnetic fields; plasmic flow (2 articles)
-
76Y05 Quantum hydrodynamics and relativistic hydrodynamics (3 articles)
-
76Zxx Biological fluid mechanics (3 articles)
-
76Zxx Biological fluid mechanics
-
76Z05 Physiological flows (2 articles)
-
76Z10 Biopropulsion in water and in air (1 articles)
-
76Z99 None of the above, but in this section
-
78 Optics, electromagnetic theory (105 articles)
-
78 Optics, electromagnetic theory
-
78-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (2 articles)
-
78-01 Instructional exposition (textbooks, tutorial papers, etc.) (1 articles)
-
78-02 Research exposition (monographs, survey articles)
-
78-03 Historical (must also be assigned at least one classification number from Section 01) (1 articles)
-
78-04 Explicit machine computation and programs (not the theory of computation or programming)
-
78-05 Experimental work
-
78-06 Proceedings, conferences, collections, etc.
-
78-08 (1984-1999) Computational methods (3 articles)
-
78.0 (1940-1958) Optics, electromagnetic theory, circuits
-
78.00 (1959-1979) General (1 articles)
-
78.01 (1959-1979) History and biography
-
78.02 (1959-1972) Logic and foundations
-
78.04 (1959-1972) Set theory
-
78.05 (1959-1979) Combinatorics
-
78.06 (1959-1979) Order lattices, ordered algebraic structures
-
78.08 (1959-1972) General mathematical systems
-
78.10 (1959-1972) Number theory
-
78.12 (1959-1972) Field theory and polynomials
-
78.13 (1959-1972) Commutative rings and algebras
-
78.14 (1959-1972) Algebraic geometry
-
78.15 (1959-1972) Linear and multilinear algebra; matrix theory
-
78.16 (1959-1972) Associative rings and algebras
-
78.17 (1959-1972) Nonassociative rings and algebras
-
78.18 (1959-1972) Category theory, homological algebra
-
78.20 (1959-1972) Group theory and generalizations
-
78.22 (1959-1972) Topological groups, Lie groups
-
78.26 (1959-1972) Real functions
-
78.28 (1959-1972) Measure and integration
-
78.30 (1959-1972) Functions of a complex variable
-
78.31 (1959-1972) Potential theory
-
78.32 (1959-1979) Several complex variables and analytic spaces
-
78.33 (1959-1972) Special functions
-
78.34 (1959-1972) Ordinary differential equations
-
78.35 (1959-721) Partial differential equations
-
78.39 (1959-1972) Finite differences and functional equations
-
78.40 (1959-1972) Sequences, series, summability
-
78.41 (1959-1979) Approximations and expansions
-
78.42 (1959-1979) Fourier analysis
-
78.44 (1959-1979) Integral transforms, operational calculus
-
78.45 (1959-1979) Integral equations
-
78.46 (1959-1979) Functional analysis
-
78.47 (1959-1979) Operator theory
-
78.49 (1959-1979) Calculus of variations and optimal control (1 articles)
-
78.50 (1959-1979) Geometry
-
78.52 (1959-1972) Convex sets and geometric inequalities
-
78.53 (1959-1979) Differential geometry
-
78.54 (1959-1972) General topology (1 articles)
-
78.55 (1959-1979) Algebraic topology
-
78.57 (1959-1972) Manifolds
-
78.58 (1973-1979) Global analysis, analysis on manifolds
-
78.60 (1959-1979) Probability theory and stochastic processes
-
78.62 (1959-1979) Statistics
-
78.65 (1959-1979) Numerical analysis
-
78.90 (1959-1972) Economics, operations research, programming, games
-
78.93 (1959-1972) Systems, control
-
78.94 (1959-1972) Information and communication, circuits, automata
-
78.99 (1959-1972) None of the above, but in this section (1 articles)
-
78Axx General (76 articles)
-
78Axx General (2 articles)
-
78A02 Foundations (1 articles)
-
78A05 Geometric optics (6 articles)
-
78A10 Physical optics (1 articles)
-
78A15 Electron optics
-
78A20 Space charge waves (2 articles)
-
78A25 Electromagnetic theory, general (19 articles)
-
78A30 Electro- and magnetostatics (6 articles)
-
78A35 Motion of charged particles (3 articles)
-
78A40 Waves and radiation (4 articles)
-
78A45 Diffraction, scattering (11 articles)
-
78A46 Inverse scattering problems (3 articles)
-
78A48 Composite media; random media (2 articles)
-
78A50 Antennas, wave-guides (2 articles)
-
78A55 Technical applications (9 articles)
-
78A60 Lasers, masers, optical bistability, nonlinear optics (1 articles)
-
78A70 Biological applications
-
78A97 Mathematically heuristic optics and electromagnetic theory (must also be assigned at least one other classification number in this section) (1 articles)
-
78A99 Miscellaneous topics (3 articles)
-
78Mxx Basic methods (18 articles)
-
78Mxx Basic methods
-
78M05 Method of moments
-
78M10 Finite element methods (8 articles)
-
78M15 Boundary element methods (2 articles)
-
78M20 Finite difference methods (1 articles)
-
78M25 Other numerical methods (2 articles)
-
78M30 Variational methods (1 articles)
-
78M35 Asymptotic analysis
-
78M40 Homogenization (1 articles)
-
78M50 Optimization (2 articles)
-
78M99 None of the above, but in this section (1 articles)
-
79 (1940-1958) Mathematical physics, physical applications
-
79 (1940-1958) Mathematical physics, physical applications
-
79.0 (1940-1958) Mathematical physics, physical applications
-
80 Classical thermodynamics, heat transfer (101 articles)
-
80 Classical thermodynamics, heat transfer
-
80-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (3 articles)
-
80-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
80-02 Research exposition (monographs, survey articles) (1 articles)
-
80-03 Historical (must also be assigned at least one classification number from Section 01)
-
80-04 Explicit machine computation and programs (not the theory of computation or programming) (1 articles)
-
80-05 Experimental work
-
80-06 Proceedings, conferences, collections, etc.
-
80-08 (1984-1999) Computational methods
-
80.0 (1940-1958) Classical thermodynamics and heat transfer
-
80.00 (1959-1979) General (1 articles)
-
80.01 (1959-1979) History and biography
-
80.02 (1959-1979) Logic and foundations
-
80.04 (1959-1972) Set theory
-
80.05 (1959-1979) Combinatorics
-
80.06 (1959-1979) Order, lattices, ordered algebraic structures
-
80.08 (1959-1972) General mathematical systems
-
80.1 (1940-1958) Thermodynamics, statistical mechanics
-
80.10 (1959-1972) Number theory
-
80.12 (1959-1972) Field theory and polynomials
-
80.13 (1959-1972) Commutative rings and algebras
-
80.14 (1959-1972) Algebraic geometry
-
80.15 (1959-1979) Linear and multilinear algebra; matrix theory
-
80.16 (1959-1972) Associative rings and algebras
-
80.17 (1959-1972) Nonassociative rings and algebras
-
80.18 (1959-1972) Category theory, homological algebra
-
80.20 (1959-1979) Group theory and generalizations
-
80.22 (1959-1979) Topological groups, Lie groups
-
80.26 (1959-1979) Real functions
-
80.28 (1959-1979) Measure and integration
-
80.30 (1959-1979) Functions of a complex variable
-
80.31 (1959-1979) Potential theory
-
80.32 (1959-1972) Several complex variables and analytic spaces
-
80.33 (1959-1979) Special functions
-
80.34 (1959-1979) Ordinary differential equations
-
80.35 (1959-1979) Partial differential equations (1 articles)
-
80.39 (1959-1972) Finite differences and functional equations
-
80.40 (1959-1972) Sequences, series, summability
-
80.41 (1959-1979) Approximations and expansions
-
80.42 (1959-1979) Fourier analysis
-
80.44 (1959-1979) Integral transforms, operational calculus
-
80.45 (1959-1979) Integral equations
-
80.46 (1959-1979) Functional analysis
-
80.47 (1959-1979) Operator theory
-
80.49 (1959-1979) Calculus of variations and optimal control
-
80.50 (1959-1972) Geometry
-
80.52 (1959-1972) Convex sets and geometric inequalities
-
80.53 (1959-1979) Differential geometry
-
80.54 (1959-1979) General topology
-
80.55 (1959-1979) Algebraic topology
-
80.57 (1959-1972) Manifolds
-
80.58 (1973-1979) Global analysis, analysis on manifolds
-
80.60 (1959-1979) Probability theory and stochastic processes
-
80.62 (1959-1979) Statistics
-
80.65 (1959-1979) Numerical analysis
-
80.90 (1959-1972) Economics, operations research, programming, games
-
80.93 (1959-1972) Systems, control
-
80.94 (1959-1979) Information and communication, circuits, automata
-
80.99 (1959-1972) None of the above, but in this section
-
80Axx Thermodynamics and heat transfer (84 articles)
-
80Axx Thermodynamics and heat transfer
-
80A05 Foundations (6 articles)
-
80A10 Classical thermodynamics, including relativistic (1 articles)
-
80A17 Thermodynamics of continua (1 articles)
-
80A20 Heat and mass transfer, heat flow (33 articles)
-
80A22 Stefan problems, phase changes, etc. (25 articles)
-
80A23 Inverse problems (2 articles)
-
80A25 Combustion (4 articles)
-
80A30 Chemical kinetics (4 articles)
-
80A32 Chemically reacting flows (4 articles)
-
80A50 Chemistry (general)
-
80A99 None of the above, but in this section (4 articles)
-
80Mxx Basic methods (10 articles)
-
80Mxx Basic methods
-
80M10 Finite element methods (4 articles)
-
80M15 Boundary element methods
-
80M20 Finite difference methods
-
80M25 Other numerical methods (1 articles)
-
80M30 Variational methods
-
80M35 Asymptotic analysis
-
80M40 Homogenization (1 articles)
-
80M50 Optimization (4 articles)
-
80M99 None of the above, but in this section
-
81 Quantum theory (342 articles)
-
81 Quantum theory
-
81-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
81-01 Instructional exposition (textbooks, tutorial papers, etc.) (3 articles)
-
81-02 Research exposition (monographs, survey articles) (4 articles)
-
81-03 Historical (must also be assigned at least one classification number from Section 01) (4 articles)
-
81-04 Explicit machine computation and programs (not the theory of computation or programming)
-
81-05 Experimental papers
-
81-06 Proceedings, conferences, collections, etc. (1 articles)
-
81-08 Computational methods
-
81.0 (1940-1958) Quantum mechanics
-
81.00 (1959-1979) General (2 articles)
-
81.01 (1959-1979) History and biography
-
81.02 (1959-1979) Logic and foundations (1 articles)
-
81.04 (1959-1979) Set theory
-
81.05 (1959-1979) Combinatorics
-
81.06 (1959-1979) Order, lattices, ordered algebraic structures
-
81.08 (1959-1972) General mathematical systems
-
81.10 (1959-1979) Number theory
-
81.12 (1959-1972) Field theory and polynomials
-
81.13 (1959-1972) Commutative rings and algebras
-
81.14 (1959-1979) Algebraic geometry
-
81.15 (1959-1979) Linear and multilinear algebra; matrix theory
-
81.16 (1959-1979) Associative rings and algebras
-
81.17 (1959-1979) Nonassociative rings and algebras
-
81.18 (1959-1979) Category theory, homological algebra
-
81.20 (1959-1979) Group theory and generalizations
-
81.22 (1959-1979) Topological groups, Lie groups
-
81.26 (1959-1979) Real functions
-
81.28 (1959-1979) Measure and integration
-
81.30 (1959-1979) Functions of a complex variable (2 articles)
-
81.31 (1959-1979) Potential theory
-
81.32 (1959-1979) Several complex variables and analytic spaces
-
81.33 (1959-1979) Special functions
-
81.34 (1959-1979) Ordinary differential equations
-
81.35 (1959-1979) Partial differential equations (2 articles)
-
81.39 (1959-1979) Finite differences and functional equations
-
81.40 (1959-1979) Sequences, series, summability
-
81.41 (1959-1979) Approximations and expansions
-
81.42 (1959-1979) Fourier analysis
-
81.43 (1973-1979) Abstract harmonic analysis
-
81.44 (1959-1979) Integral transforms, operational calculus
-
81.45 (1959-1979) Integral equations
-
81.46 (1959-1979) Functional analysis (2 articles)
-
81.47 (1959-1979) Operator theory
-
81.49 (1959-1979) Calculus of variations and optimal control
-
81.50 (1959-1979) Geometry
-
81.52 (1959-1979) Convex sets and geometric inequalities
-
81.53 (1959-1979) Differential geometry (1 articles)
-
81.54 (1959-1979) General topology
-
81.55 (1959-1979) Algebraic topology
-
81.57 (1959-1979) Manifolds and cell complexes
-
81.58 (1973-1979) Global analysis, analysis on manifolds
-
81.60 (1959-1979) Probability theory and stochastic processes
-
81.62 (1959-1979) Statistics
-
81.65 (1959-1979) Numerical analysis
-
81.90 (1959-1972) Economics, operations research, programming, games
-
81.93 (1959-1972) Systems, control
-
81.94 (1959-1979) Information and communication, circuits, automata
-
81.99 (1959-1972) None of the above, but in this section
-
81Pxx Axiomatics, foundations, philosophy (130 articles)
-
81Pxx Axiomatics, foundations, philosophy
-
81P05 General and philosophical (4 articles)
-
81P10 Logical foundations of quantum mechanics; quantum logic (98 articles)
-
81P15 Quantum measurement theory (10 articles)
-
81P20 Stochastic mechanics (including stochastic electrodynamics) (11 articles)
-
81P68 Quantum computation and quantum cryptography (4 articles)
-
81P99 None of the above, but in this section (3 articles)
-
81Qxx General mathematical topics and methods in quantum theory (34 articles)
-
81Qxx General mathematical topics and methods in quantum theory
-
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations (9 articles)
-
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis (9 articles)
-
81Q15 Perturbation theories for operators and differential equations (2 articles)
-
81Q20 Semiclassical techniques including WKB and Maslov methods
-
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (4 articles)
-
81Q40 Bethe-Salpeter and other integral equations
-
81Q50 Quantum chaos
-
81Q60 Supersymmetric quantum mechanics (7 articles)
-
81Q70 Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.
-
81Q99 None of the above, but in this section (3 articles)
-
81Rxx Groups and algebras in quantum theory (47 articles)
-
81Rxx Groups and algebras in quantum theory
-
81R05 Finite-dimensional groups and algebras motivated by physics and their representations (10 articles)
-
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations (6 articles)
-
81R12 Relations with integrable systems (1 articles)
-
81R15 Operator algebra methods (1 articles)
-
81R20 Covariant wave equations (1 articles)
-
81R25 Spinor and twistor methods (5 articles)
-
81R30 Coherent states (1 articles)
-
81R40 Symmetry breaking
-
81R50 Quantum groups and related algebraic methods (20 articles)
-
81R60 Noncommutative geometry (1 articles)
-
81R99 None of the above, but in this section (1 articles)
-
81Sxx General quantum mechanics and problems of quantization (30 articles)
-
81Sxx General quantum mechanics and problems of quantization
-
81S05 Commutation relations and statistics (3 articles)
-
81S10 Geometry and quantization, symplectic methods (13 articles)
-
81S20 Stochastic quantization (1 articles)
-
81S25 Quantum stochastic calculus (1 articles)
-
81S30 Phase space methods including Wigner distributions, etc. (2 articles)
-
81S40 Path integrals (4 articles)
-
81S99 None of the above, but in this section (6 articles)
-
81Txx Quantum field theory; related classical field theories (59 articles)
-
81Txx Quantum field theory; related classical field theories (1 articles)
-
81T05 Axiomatic quantum field theory; operator algebras (4 articles)
-
81T08 Constructive quantum field theory (6 articles)
-
81T10 Model quantum field theories (3 articles)
-
81T13 Yang-Mills and other gauge theories (12 articles)
-
81T15 Perturbative methods of renormalization
-
81T16 Nonperturbative methods of renormalization
-
81T17 Renormalization group methods
-
81T18 Feynman diagrams (1 articles)
-
81T20 Quantum field theory on curved space backgrounds (1 articles)
-
81T25 Quantum field theory on lattices (2 articles)
-
81T27 Continuum limits
-
81T30 String and superstring theories; other extended objects (e.g., branes) (6 articles)
-
81T40 Two-dimensional field theories, conformal field theories, etc. (6 articles)
-
81T45 Topological field theories
-
81T50 Anomalies (1 articles)
-
81T60 Supersymmetric field theories (10 articles)
-
81T70 Quantization in field theory; cohomological methods (3 articles)
-
81T75 Noncommutative geometry methods
-
81T80 Simulation and numerical modeling (1 articles)
-
81T99 None of the above, but in this section (2 articles)
-
81Uxx Scattering theory (6 articles)
-
81Uxx Scattering theory
-
81U05 $2$-body potential scattering theory
-
81U10 $n$-body potential scattering theory (1 articles)
-
81U15 Exactly and quasi-solvable systems (4 articles)
-
81U20 $S$-matrix theory, etc.
-
81U30 Dispersion theory, dispersion relations
-
81U40 Inverse scattering problems (1 articles)
-
81U99 None of the above, but in this section
-
81Vxx Applications to specific physical systems (14 articles)
-
81Vxx Applications to specific physical systems
-
81V05 Strong interaction, including quantum chromodynamics (4 articles)
-
81V10 Electromagnetic interaction; quantum electrodynamics (1 articles)
-
81V15 Weak interaction (1 articles)
-
81V17 Gravitational interaction
-
81V19 Other fundamental interactions
-
81V22 Unified theories (1 articles)
-
81V25 Other elementary particle theory (2 articles)
-
81V35 Nuclear physics (2 articles)
-
81V45 Atomic physics
-
81V55 Molecular physics
-
81V70 Many-body theory; quantum Hall effect (2 articles)
-
81V80 Quantum optics
-
81V99 None of the above, but in this section (1 articles)
-
82 Statistical mechanics, structure of matter (102 articles)
-
82 Statistical mechanics, structure of matter
-
82-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
82-01 Instructional exposition (textbooks, tutorial papers, etc.) (1 articles)
-
82-02 Research exposition (monographs, survey articles) (3 articles)
-
82-03 Historical (must also be assigned at least one classification number from Section 01)
-
82-04 Explicit machine computation and programs (not the theory of computation or programming)
-
82-05 Experimental papers
-
82-06 Proceedings, conferences, collections, etc.
-
82-08 Computational methods (1 articles)
-
82.0 (1940-1958) Structure of matter
-
82.00 (1959-1979) General
-
82.01 (1959-1979) History and biography
-
82.02 (1959-1979) Logic and foundations
-
82.04 (1959-1972) Set theory
-
82.05 (1959-1979) Combinatorics
-
82.06 (1959-1979) Order, lattices, ordered algebraic structures
-
82.08 (1959-1972) General mathematical systems
-
82.1 (1940-1958) Statistical mechanics
-
82.10 (1959-1979) Number theory
-
82.12 (1959-1972) Field theory and polynomials
-
82.13 (1959-1972) Commutative rings and algebras
-
82.14 (1959-1972) Algebraic geometry
-
82.15 (1959-1979) Linear and multilinear algebra; matrix theory
-
82.16 (1959-1972) Associative rings and algebras
-
82.17 (1959-1979) Nonassociative rings and algebras
-
82.18 (1959-1972) Category theory, homological algebra
-
82.2 (1940-1958) Statistical thermodynamics and mechanics
-
82.20 (1959-1979) Group theory and generalizations
-
82.22 (1959-1979) Topological groups, Lie groups
-
82.26 (1959-1979) Real functions
-
82.28 (1959-1979) Measure and integration
-
82.30 (1959-1979) Functions of a complex variable
-
82.31 (1959-1979) Potential theory
-
82.32 (1959-1979) Several complex variables and analytic spaces
-
82.33 (1959-1979) Special functions
-
82.34 (1959-1979) Ordinary differential equations
-
82.35 (1959-1979) Partial differential equations (2 articles)
-
82.39 (1959-1979) Finite differences and functional equations
-
82.40 (1959-1979) Sequences, series, summability
-
82.41 (1959-1979) Approximations and expansions (1 articles)
-
82.42 (1959-1979) Fourier analysis
-
82.44 (1959-1979) Integral transforms, operational calculus
-
82.45 (1959-1979) Integral equations (1 articles)
-
82.46 (1959-1979) Functional analysis
-
82.47 (1959-1979) Operator theory
-
82.49 (1959-1979) Calculus of variations and optimal control
-
82.50 (1959-1979) Geometry
-
82.52 (1959-1972) Convex sets and geometric inequalities
-
82.53 (1959-1979) Differential geometry
-
82.54 (1959-1979) General topology
-
82.55 (1959-1979) Algebraic topology
-
82.57 (1959-1979) Manifolds
-
82.58 (1973-1979) Global analysis, analysis on manifolds
-
82.60 (1959-1979) Probability theory and stochastic processes
-
82.62 (1959-1979) Statistics
-
82.65 (1959-1979) Numerical analysis (1 articles)
-
82.90 (1959-1972) Economics, operations research, programming, games
-
82.93 (1959-1972) Systems, control
-
82.94 (1959-1972) Information and communication, circuits, automata
-
82.99 (1959-1972) None of the above, but in this section
-
82Bxx Equilibrium statistical mechanics (26 articles)
-
82Bxx Equilibrium statistical mechanics
-
82B03 Foundations (1 articles)
-
82B05 Classical equilibrium statistical mechanics (general) (3 articles)
-
82B10 Quantum equilibrium statistical mechanics (general) (2 articles)
-
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs (1 articles)
-
82B21 Continuum models (systems of particles, etc.) (1 articles)
-
82B23 Exactly solvable models; Bethe ansatz (3 articles)
-
82B24 Interface problems; diffusion-limited aggregation (1 articles)
-
82B26 Phase transitions (general) (4 articles)
-
82B27 Critical phenomena
-
82B28 Renormalization group methods
-
82B30 Statistical thermodynamics (1 articles)
-
82B31 Stochastic methods (3 articles)
-
82B35 Irreversible thermodynamics, including Onsager-Machlup theory (2 articles)
-
82B40 Kinetic theory of gases (2 articles)
-
82B41 Random walks, random surfaces, lattice animals, etc.
-
82B43 Percolation
-
82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) (2 articles)
-
82B80 Numerical methods (Monte Carlo, series resummation, etc.)
-
82B99 None of the above, but in this section
-
82Cxx Time-dependent statistical mechanics (dynamic and nonequilibrium) (27 articles)
-
82Cxx Time-dependent statistical mechanics (dynamic and nonequilibrium)
-
82C03 Foundations
-
82C05 Classical dynamic and nonequilibrium statistical mechanics (general)
-
82C10 Quantum dynamics and nonequilibrium statistical mechanics (general) (1 articles)
-
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
-
82C21 Dynamic continuum models (systems of particles, etc.)
-
82C22 Interacting particle systems (1 articles)
-
82C23 Exactly solvable dynamic models
-
82C24 Interface problems; diffusion-limited aggregation (2 articles)
-
82C26 Dynamic and nonequilibrium phase transitions (general) (5 articles)
-
82C27 Dynamic critical phenomena
-
82C28 Dynamic renormalization group methods
-
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.)
-
82C32 Neural nets (2 articles)
-
82C35 Irreversible thermodynamics, including Onsager-Machlup theory
-
82C40 Kinetic theory of gases (2 articles)
-
82C41 Dynamics of random walks, random surfaces, lattice animals, etc.
-
82C43 Time-dependent percolation
-
82C44 Dynamics of disordered systems (random Ising systems, etc.)
-
82C70 Transport processes (13 articles)
-
82C80 Numerical methods (Monte Carlo, series resummation, etc.) (1 articles)
-
82C99 None of the above, but in this section
-
82Dxx Applications to specific types of physical systems (39 articles)
-
83 Relativity and gravitational theory (45 articles)
-
83 Relativity and gravitational theory
-
83-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
83-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
83-02 Research exposition (monographs, survey articles) (2 articles)
-
83-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
83-04 Explicit machine computation and programs (not the theory of computation or programming)
-
83-05 Experimental work
-
83-06 Proceedings, conferences, collections, etc.
-
83-08 Computational methods
-
83.0 (1940-1958) Relativity
-
83.00 (1959-1979) General
-
83.01 (1959-1979) History and biography
-
83.02 (1959-1979) Logic and foundations
-
83.04 (1959-1972) Set theory
-
83.05 (1959-1979) Combinatorics
-
83.06 (1959-1979) Order, lattices, ordered algebraic structures
-
83.08 (1959-1972) General mathematical systems
-
83.10 (1959-1979) Number theory
-
83.12 (1959-1972) Field theory and polynomials
-
83.13 (1959-1972) Commutative rings and algebras
-
83.14 (1959-1972) Algebraic geometry
-
83.15 (1959-1979) Linear and multilinear algebra; matrix theory
-
83.16 (1959-1972) Associative rings and algebras
-
83.17 (1959-1979) Nonassociative rings and algebras (1 articles)
-
83.18 (1959-1972) Category theory, homological algebra
-
83.20 (1959-1979) Group theory and generalizations
-
83.22 (1959-1979) Topological groups, Lie groups (1 articles)
-
83.26 (1959-1979) Real functions
-
83.28 (1959-1979) Measure and integration
-
83.30 (1959-1979) Functions of a complex variable
-
83.31 (1959-1979) Potential theory
-
83.32 (1959-1979) Several complex variables and analytic spaces
-
83.33 (1959-1979) Special functions
-
83.34 (1959-1979) Ordinary differential equations
-
83.35 (1959-1979) Partial differential equations
-
83.39 (1959-1979) Finite differences and functional equations
-
83.40 (1959-1972) Sequences, series, summability
-
83.41 (1959-1979) Approximations and expansions
-
83.42 (1959-1972) Fourier analysis
-
83.44 (1959-1972) Integral transforms, operational calculus
-
83.45 (1959-1979) Integral equations
-
83.46 (1959-1979) Functional analysis
-
83.47 (1959-1979) Operator theory
-
83.49 (1959-1979) Calculus of variations and optimal control
-
83.50 (1959-1979) Geometry
-
83.52 (1959-1979) Convex sets and geometric inequalities
-
83.53 (1959-1979) Differential geometry (1 articles)
-
83.54 (1959-1979) General topology
-
83.55 (1959-1979) Algebraic topology
-
83.57 (1959-1979) Manifolds and cell complexes
-
83.58 (1973-1979) Global analysis, analysis on manifolds
-
83.60 (1959-1979) Probability theory and stochastic processes
-
83.62 (1959-1979) Statistics
-
83.65 (1959-1979) Numerical analysis
-
83.90 (1959-1972) Economics, operations research, programming, games
-
83.93 (1959-1972) Systems, control
-
83.94 (1959-1972) Information and communication, circuits, automata
-
83.99 (1959-1972) None of the above, but in this section
-
83A05 Special relativity (4 articles)
-
83B05 Observational and experimental questions
-
83Cxx General relativity (25 articles)
-
83Cxx General relativity
-
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems) (4 articles)
-
83C10 Equations of motion
-
83C15 Exact solutions (3 articles)
-
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries (2 articles)
-
83C22 Einstein-Maxwell equations
-
83C25 Approximation procedures, weak fields
-
83C27 Lattice gravity, Regge calculus and other discrete methods (1 articles)
-
83C30 Asymptotic procedures (radiation, news functions,
-
83C35 Gravitational waves
-
83C40 Gravitational energy and conservation laws; groups of motions
-
83C45 Quantization of the gravitational field (1 articles)
-
83C47 Methods of quantum field theory (1 articles)
-
83C50 Electromagnetic fields
-
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (1 articles)
-
83C57 Black holes (1 articles)
-
83C60 Spinor and twistor methods; Newman-Penrose formalism (2 articles)
-
83C65 Methods of noncommutative geometry (1 articles)
-
83C75 Space-time singularities, cosmic censorship, etc.
-
83C80 Analogues in lower dimensions (2 articles)
-
83C99 None of the above, but in this section (6 articles)
-
83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories (1 articles)
-
83Exx Unified, higher-dimensional and super field theories (6 articles)
-
83Exx Unified, higher-dimensional and super field theories
-
83E05 Geometrodynamics (1 articles)
-
83E15 Kaluza-Klein and other higher-dimensional theories (2 articles)
-
83E30 String and superstring theories
-
83E50 Supergravity (2 articles)
-
83E99 None of the above, but in this section (1 articles)
-
83F05 Cosmology (2 articles)
-
84 (1940-1958) Relativity, astronomy
-
84 (1940-1958) Relativity, astronomy
-
84.0 (1940-1958) Relativity, astronomy
-
85 Astronomy and astrophysics (13 articles)
-
85 Astronomy and astrophysics
-
85-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
85-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
85-02 Research exposition (monographs, survey articles)
-
85-03 Historical (must also be assigned at least one classification number from Section 01) (1 articles)
-
85-04 Explicit machine computation and programs (not the theory of computation or programming)
-
85-05 Experimental work (2 articles)
-
85-06 Proceedings, conferences, collections, etc.
-
85-08 Computational methods (1 articles)
-
85.0 (1940-1958) Astronomy
-
85.00 (1959-1979) General
-
85.01 (1959-1979) History and biography
-
85.02 (1959-1972) Logic and foundations
-
85.04 (1959-1972) Set theory
-
85.05 (1959-1972) Combinatorics
-
85.06 (1959-1972) Order, lattices, ordered algebraic structures
-
85.08 (1959-1972) General mathematical systems
-
85.10 (1959-1972) Number theory
-
85.12 (1959-1972) Field theory and polynomials
-
85.13 (1959-1972) Commutative rings and algebras
-
85.14 (1959-1972) Algebraic geometry
-
85.15 (1959-1972) Linear and multilinear algebra; matrix theory
-
85.16 (1959-1972) Associative rings and algebras
-
85.17 (1959-1972) Nonassociative rings and algebras
-
85.18 (1959-1972) Category theory, homological algebra
-
85.20 (1959-1972) Group theory and generalizations
-
85.22 (1959-1972) Topological groups, Lie groups
-
85.26 (1959-1979) Real functions
-
85.28 (1959-1972) Measure and integration
-
85.30 (1959-1979) Functions of a complex variable
-
85.31 (1959-1979) Potential theory
-
85.32 (1959-1972) Several complex variables and analytic spaces
-
85.33 (1959-1979) Special functions
-
85.34 (1959-1979) Ordinary differential equations
-
85.35 (1959-1979) Partial differential equations
-
85.39 (1959-1972) Finite differences and functional equations
-
85.40 (1959-1972) Sequences, series, summability
-
85.41 (1959-1979) Approximations and expansions
-
85.42 (1959-1979) Fourier analysis
-
85.44 (1959-1979) Integral transforms, operational calculus
-
85.45 (1959-1979) Integral equations
-
85.46 (1959-1979) Functional analysis
-
85.47 (1959-1979) Operator theory
-
85.49 (1959-1979) Calculus of variations and optimal control
-
85.50 (1959-1979) Geometry
-
85.52 (1959-1972) Convex sets and geometric inequalities
-
85.53 (1959-1979) Differential geometry
-
85.54 (1959-1979) General topology
-
85.55 (1959-1979) Algebraic topology
-
85.57 (1959-1979) Manifolds and cell complexes
-
85.58 (1973-1979) Global analysis, analysis on manifolds
-
85.60 (1959-1979) Probability theory and stochastic processes
-
85.62 (1959-1979) Statistics
-
85.65 (1959-1979) Numerical analysis
-
85.90 (1959-1972) Economics, operations research, programming, games
-
85.93 (1959-1972) Systems, control
-
85.94 (1959-1972) Information and communication, circuits, automata
-
85.99 (1959-1972) None of the above, but in this section
-
85A04 General (1 articles)
-
85A05 Galactic and stellar dynamics (1 articles)
-
85A15 Galactic and stellar structure (1 articles)
-
85A20 Planetary atmospheres (1 articles)
-
85A25 Radiative transfer (2 articles)
-
85A30 Hydrodynamic and hydromagnetic problems
-
85A35 Statistical astronomy
-
85A40 Cosmology (1 articles)
-
85A99 Miscellaneous topics (1 articles)
-
86 Geophysics (42 articles)
-
86 Geophysics
-
86-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
86-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
86-02 Research exposition (monographs, survey articles)
-
86-03 Historical (must also be assigned at least one classification number from Section 01) (1 articles)
-
86-04 Explicit machine computation and programs (not the theory of computation or programming)
-
86-05 Experimental work
-
86-06 Proceedings, conferences, collections, etc.
-
86-08 Computational methods (3 articles)
-
86.0 (1940-1958) Geophysics
-
86.00 (1959-1979) General
-
86.01 (1959-1979) History and biography
-
86.02 (1959-1972) Logic and foundations
-
86.04 (1959-1972) Set theory
-
86.05 (1959-1979) Combinatorics
-
86.06 (1959-1972) Order, lattices, ordered algebraic structures
-
86.08 (1959-1972) General mathematical systems
-
86.10 (1959-1972) Number theory
-
86.12 (1959-1972) Field theory and polynomials
-
86.13 (1959-1972) Commutative rings and algebras
-
86.14 (1959-1972) Algebraic geometry
-
86.15 (1959-1972) Linear and multilinear algebra; matrix theory
-
86.16 (1959-1972) Associative rings and algebras
-
86.17 (1959-1972) Nonassociative rings and algebras
-
86.18 (1959-1972) Category theory, homological algebra
-
86.20 (1959-1972) Group theory and generalizations
-
86.22 (1959-1979) Topological groups, Lie groups
-
86.26 (1959-1972) Real functions
-
86.28 (1959-1972) Measure and integration
-
86.30 (1959-1979) Functions of a complex variable
-
86.31 (1959-1979) Potential theory
-
86.32 (1959-1972) Several complex variables and analytic spaces
-
86.33 (1959-1979) Special functions
-
86.34 (1959-1979) Ordinary differential equations
-
86.35 (1959-1979) Partial differential equations (1 articles)
-
86.39 (1959-1972) Finite difference and functional equations
-
86.40 (1959-1979) Sequences, series, summability
-
86.41 (1959-1979) Approximations and expansions
-
86.42 (1959-1972) Fourier analysis
-
86.44 (1959-1979) Integral transforms, operational calculus
-
86.45 (1959-1979) Integral equations
-
86.46 (1959-1972) Functional analysis
-
86.47 (1959-1979) Operator theory
-
86.49 (1959-1979) Calculus of variations and optimal control
-
86.50 (1959-1979) Geometry
-
86.52 (1959-1979) Convex sets and geometric inequalities
-
86.53 (1959-1979) Differential geometry
-
86.54 (1959-1972) General topology
-
86.55 (1959-1972) Algebraic topology
-
86.57 (1959-1972) Manifolds
-
86.60 (1959-1979) Probability theory and stochastic processes
-
86.62 (1959-1979) Statistics
-
86.65 (1959-1979) Numerical analysis
-
86.90 (1959-1972) Economics, operations research, programming, games
-
86.93 (1959-1972) Systems, control
-
86.94 (1959-1972) Information and communication, circuits, automata
-
86.99 (1959-1972) None of the above, but in this section
-
86A04 General
-
86A05 Hydrology, hydrography, oceanography (6 articles)
-
86A10 Meteorology and atmospheric physics (10 articles)
-
86A15 Seismology
-
86A17 Global dynamics, earthquake problems
-
86A20 Potentials, prospecting
-
86A22 Inverse problems
-
86A25 Geo-electricity and geomagnetism (2 articles)
-
86A30 Geodesy, mapping problems (10 articles)
-
86A32 Geostatistics (4 articles)
-
86A40 Glaciology (1 articles)
-
86A60 Geological problems (3 articles)
-
86A99 Miscellaneous topics (1 articles)
-
90 Operations research, mathematical programming (994 articles)
-
90 Operations research, mathematical programming
-
90-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (4 articles)
-
90-01 Instructional exposition (textbooks, tutorial papers, etc.)
-
90-02 Research exposition (monographs, survey articles) (6 articles)
-
90-03 Historical (must also be assigned at least one classification number from Section 01) (3 articles)
-
90-04 Explicit machine computation and programs (not the theory of computation or programming)
-
90-06 Proceedings, conferences, collections, etc. (1 articles)
-
90-08 Computational methods (4 articles)
-
90.0 (1940-1958) Economics, management science, games, programming, resource allocation
-
90.00 (1959-1972) General (1 articles)
-
90.10 (1959-1972) Economics (2 articles)
-
90.30 (1959-1972) Operations research (2 articles)
-
90.40 (1959-1972) Multi-stage decision processes, dynamic programming (general) (3 articles)
-
90.50 (1959-1972) Linear programming (2 articles)
-
90.56 (1959-1972) Integer programming
-
90.57 (1959-1972) Stochastic programming (1 articles)
-
90.58 (1959-1972) Nonlinear programming, general
-
90.59 (1959-1972) Quadratic programming (1 articles)
-
90.60 (1959-1972) Convex programming
-
90.70 (1959-1972) Game theory (2 articles)
-
90.72 (1959-1972) Stochastic games
-
90.75 (1959-1972) Differential and continuous games
-
90.99 (1959-1972) None of the above, but in this section
-
90Bxx Operations research and management science (163 articles)
-
90Bxx Operations research and management science (2 articles)
-
90B05 Inventory, storage, reservoirs (11 articles)
-
90B06 Transportation, logistics (9 articles)
-
90B10 Network models, deterministic (15 articles)
-
90B15 Network models, stochastic (5 articles)
-
90B18 Communication networks (7 articles)
-
90B20 Traffic problems (7 articles)
-
90B22 Queues and service (19 articles)
-
90B25 Reliability, availability, maintenance, inspection (17 articles)
-
90B30 Production models (11 articles)
-
90B35 Scheduling theory, deterministic (19 articles)
-
90B36 Scheduling theory, stochastic
-
90B40 Search theory (5 articles)
-
90B50 Management decision making, including multiple objectives (19 articles)
-
90B60 Marketing, advertising (1 articles)
-
90B70 Theory of organizations, manpower planning
-
90B80 Discrete location and assignment (6 articles)
-
90B85 Continuous location (1 articles)
-
90B90 Case-oriented studies (2 articles)
-
90B99 None of the above, but in this section (7 articles)
-
90Cxx Mathematical programming (799 articles)
-
91 Game theory, economics, social and behavioral sciences (465 articles)
-
91 Game theory, economics, social and behavioral sciences
-
91-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
-
91-01 Instructional exposition (textbooks, tutorial papers, etc.) (3 articles)
-
91-02 Research exposition (monographs, survey articles) (1 articles)
-
91-03 Historical (must also be assigned at least one classification number from section 01)
-
91-04 Explicit machine computation and programs (not the theory of computation or programming)
-
91-06 Proceedings, conferences, collections, etc.
-
91-08 Computational methods (1 articles)
-
91Axx Game theory (165 articles)
-
91Axx Game theory
-
91A05 2-person games (17 articles)
-
91A06 $n$-person games, $n>2$ (4 articles)
-
91A10 Noncooperative games (21 articles)
-
91A12 Cooperative games (37 articles)
-
91A13 Games with infinitely many players (1 articles)
-
91A15 Stochastic games (10 articles)
-
91A18 Games in extensive form (1 articles)
-
91A20 Multistage and repeated games (5 articles)
-
91A22 Evolutionary games (1 articles)
-
91A23 Differential games (11 articles)
-
91A24 Positional games (pursuit and evasion, etc.) (1 articles)
-
91A25 Dynamic games (2 articles)
-
91A26 Rationality, learning
-
91A28 Signaling, communication
-
91A30 Utility theory for games
-
91A35 Decision theory for games (4 articles)
-
91A40 Game-theoretic models (9 articles)
-
91A43 Games involving graphs (2 articles)
-
91A44 Games involving topology or set theory (6 articles)
-
91A46 Combinatorial games (2 articles)
-
91A50 Discrete-time games (4 articles)
-
91A55 Games of timing
-
91A60 Probabilistic games; gambling (3 articles)
-
91A65 Hierarchical games (3 articles)
-
91A70 Spaces of games
-
91A80 Applications of game theory (8 articles)
-
91A90 Experimental studies
-
91A99 None of the above, but in this section (13 articles)
-
91Bxx Mathematical economics (220 articles)
-
91Bxx Mathematical economics (2 articles)
-
91B02 Fundamental topics (basic mathematics, methodology; applicable to economics in general) (40 articles)
-
91B06 Decision theory (18 articles)
-
91B08 Individual preferences (12 articles)
-
91B10 Group preferences (3 articles)
-
91B12 Voting theory (2 articles)
-
91B14 Social choice (2 articles)
-
91B16 Utility theory (9 articles)
-
91B18 Public goods
-
91B24 Price theory and market structure (7 articles)
-
91B26 Market models (auctions, bargaining, bidding, selling, etc.) (3 articles)
-
91B28 Finance, portfolios, investment (26 articles)
-
91B30 Risk theory, insurance (28 articles)
-
91B32 Resource and cost allocation (1 articles)
-
91B38 Production theory, theory of the firm (3 articles)
-
91B40 Labor market, contracts (2 articles)
-
91B42 Consumer behavior, demand theory (1 articles)
-
91B44 Informational economics
-
91B50 Equilibrium: general theory (14 articles)
-
91B52 Special types of equilibria (1 articles)
-
91B54 Special types of economies
-
91B60 General economic models, trade models (3 articles)
-
91B62 Dynamic economic models, growth models (8 articles)
-
91B64 Macro-economic models (monetary models, models of taxation) (2 articles)
-
91B66 Multisectoral models
-
91B68 Matching models (1 articles)
-
91B70 Stochastic models (4 articles)
-
91B72 Spatial models
-
91B74 Models of real-world systems (2 articles)
-
91B76 Environmental economics (natural resource models, harvesting, pollution, etc.)
-
91B82 Statistical methods; economic indices and measures (6 articles)
-
91B84 Economic time series analysis (10 articles)
-
91B99 None of the above, but in this section (10 articles)
-
91Cxx Social and behavioral sciences: general topics (5 articles)
-
91Cxx Social and behavioral sciences: general topics
-
91C05 Measurement theory (1 articles)
-
91C15 One- and multidimensional scaling
-
91C20 Clustering (2 articles)
-
91C99 None of the above, but in this section (2 articles)
-
91Dxx Mathematical sociology (including anthropology) (21 articles)
-
91Dxx Mathematical sociology (including anthropology)
-
91D10 Models of societies, social and urban evolution (1 articles)
-
91D20 Mathematical geography and demography (13 articles)
-
91D25 Spatial models
-
91D30 Social networks (3 articles)
-
91D35 Manpower systems
-
91D99 None of the above, but in this section (4 articles)
-
91Exx Mathematical psychology (14 articles)
-
91Exx Mathematical psychology
-
91E10 Cognitive psychology (2 articles)
-
91E30 Psychophysics and psychophysiology; perception (2 articles)
-
91E40 Memory and learning (2 articles)
-
91E45 Measurement and performance
-
91E99 None of the above, but in this section (8 articles)
-
91Fxx Other social and behavioral sciences (mathematical treatment) (35 articles)
-
91Fxx Other social and behavioral sciences (mathematical treatment) (1 articles)
-
91F10 History, political science (1 articles)
-
91F20 Linguistics (31 articles)
-
91F99 None of the above, but in this section (2 articles)
-
92 Biology and other natural sciences (220 articles)
-
92 Biology and other natural sciences
-
92-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
92-01 Instructional exposition (textbooks, tutorial papers, etc.) (3 articles)
-
92-02 Research exposition (monographs, survey articles) (1 articles)
-
92-03 Historical (must also be assigned at least one classification number from Section 01) (2 articles)
-
92-04 Explicit machine computation and programs (not the theory of computation or programming) (3 articles)
-
92-06 Proceedings, conferences, collections, etc.
-
92-08 Computational methods (2 articles)
-
92.0 (1940-1958) Biology and sociology
-
92.00 (1959-1972) General (1 articles)
-
92.10 (1959-1972) Biology (1 articles)
-
92.20 (1959-1972) Genetics
-
92.30 (1959-1972) Population dynamics, epidemiology
-
92.40 (1959-1972) Sociology
-
92.50 (1959-1972) Psychology
-
92.99 (1959-1972) None of the above, but in this section
-
92Bxx Mathematical biology in general (33 articles)
-
92Bxx Mathematical biology in general
-
92B05 General biology and biomathematics (14 articles)
-
92B10 Taxonomy, statistics
-
92B15 General biostatistics
-
92B20 Neural networks, artificial life and related topics (17 articles)
-
92B99 None of the above, but in this section (2 articles)
-
92Cxx Physiological, cellular and medical topics (84 articles)
-
92Cxx Physiological, cellular and medical topics (3 articles)
-
92C05 Biophysics (1 articles)
-
92C10 Biomechanics
-
92C15 Developmental biology, pattern formation (4 articles)
-
92C17 Cell movement (chemotaxis, etc.) (14 articles)
-
92C20 Neural biology (13 articles)
-
92C30 Physiology (general) (3 articles)
-
92C35 Physiological flow
-
92C37 Cell biology (4 articles)
-
92C40 Biochemistry, molecular biology (5 articles)
-
92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (8 articles)
-
92C50 Medical applications (general) (17 articles)
-
92C55 Biomedical imaging and signal processing (11 articles)
-
92C60 Medical epidemiology (1 articles)
-
92C80 Plant biology
-
92C99 None of the above, but in this section
-
92Dxx Genetics and population dynamics (80 articles)
-
92Exx Chemistry (7 articles)
-
92Exx Chemistry (1 articles)
-
92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (2 articles)
-
92E20 Classical flows, reactions, etc. (4 articles)
-
92E99 None of the above, but in this section
-
92F05 Other natural sciences (2 articles)
-
93 Systems theory; control (2728 articles)
-
93 Systems theory; control
-
93-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (3 articles)
-
93-01 Instructional exposition (textbooks, tutorial papers, etc.) (2 articles)
-
93-02 Research exposition (monographs, survey articles) (8 articles)
-
93-03 Historical (must also be assigned at least one classification number from Section 01) (3 articles)
-
93-04 Explicit machine computation and programs (not the theory of computation or programming) (2 articles)
-
93-06 Proceedings, conferences, collections, etc. (10 articles)
-
93.0 (1940-1958) Control systems
-
93.00 (1959-1972) General (5 articles)
-
93.10 (1959-1972) Systems, general (7 articles)
-
93.20 (1959-1972) Stability, qualitative behavior (5 articles)
-
93.40 (1959-1972) Optimal control (3 articles)
-
93.60 (1959-1972) Stochastic control (3 articles)
-
93.70 (1959-1972) Adaptive control
-
93.99 (1959-1972) None of the above, but in this section
-
93Axx General (167 articles)
-
93Bxx Controllability, observability, and system structure (774 articles)
-
93Cxx Control systems, guided systems (1038 articles)
-
93Dxx Stability (351 articles)
-
93Exx Stochastic systems and control (347 articles)
-
94 Information and communication, circuits (544 articles)
-
94 Information and communication, circuits
-
94-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (7 articles)
-
94-01 Instructional exposition (textbooks, tutorial papers, etc.) (1 articles)
-
94-02 Research exposition (monographs, survey articles) (2 articles)
-
94-03 Historical (must also be assigned at least one classification number from Section 01) (1 articles)
-
94-04 Explicit machine computation and programs (not the theory of computation or programming)
-
94-06 Proceedings, conferences, collections, etc. (1 articles)
-
94.0 (1940-1958) Information and communication theory
-
94.00 (1959-1972) General (6 articles)
-
94.10 (1959-1972) Communication theory (9 articles)
-
94.15 (1959-1972) Coding theory
-
94.20 (1959-1972) Information theory (8 articles)
-
94.30 (1959-1972) Circuits, networks; applications of graph theory, Boolean algebra (5 articles)
-
94.35 (1959-1972) Artificial intelligence, pattern recognition, learning processes
-
94.40 (1959-1972) Automata, general (10 articles)
-
94.45 (1959-1972) Probabilistic automata (1 articles)
-
94.50 (1959-1972) Linguistics, formal languages (20 articles)
-
94.99 (1959-1972) None of the above, but in this section
-
94Axx Communication, information (356 articles)
-
94Axx Communication, information
-
94A05 Communication theory (27 articles)
-
94A08 Image processing (compression, reconstruction, etc.) (11 articles)
-
94A11 Application of orthogonal functions in communication (3 articles)
-
94A12 Signal theory (characterization, reconstruction, etc.) (25 articles)
-
94A13 Detection theory (5 articles)
-
94A14 Modulation and demodulation (3 articles)
-
94A15 Information theory, general (70 articles)
-
94A17 Measures of information, entropy (106 articles)
-
94A20 Sampling theory (13 articles)
-
94A24 Coding theorems (Shannon theory) (17 articles)
-
94A29 Source coding (17 articles)
-
94A34 Rate-distortion theory (5 articles)
-
94A40 Channel models (22 articles)
-
94A45 Prefix, length-variable, comma-free codes
-
94A50 Theory of questionnaires (3 articles)
-
94A55 Shift register sequences and sequences over finite alphabets (1 articles)
-
94A60 Cryptography (19 articles)
-
94A62 Authentication and secret sharing (3 articles)
-
94A99 None of the above, but in this section (6 articles)
-
94Bxx Theory of error-correcting codes and error-detecting codes (32 articles)
-
94Bxx Theory of error-correcting codes and error-detecting codes
-
94B05 Linear codes, general (6 articles)
-
94B10 Convolutional codes (1 articles)
-
94B12 Combined modulation schemes (including trellis codes)
-
94B15 Cyclic codes
-
94B20 Burst-correcting codes (1 articles)
-
94B25 Combinatorial codes (3 articles)
-
94B27 Geometric methods (including applications of algebraic geometry)
-
94B30 Majority codes (1 articles)
-
94B35 Decoding (1 articles)
-
94B40 Arithmetic codes
-
94B50 Synchronization error-correcting codes
-
94B60 Other types of codes (5 articles)
-
94B65 Bounds on codes (2 articles)
-
94B70 Error probability (2 articles)
-
94B75 Applications of the theory of convex sets and geometry of numbers (covering radius, etc.)
-
94B99 None of the above, but in this section (10 articles)
-
94Cxx Circuits, networks (54 articles)
-
94Cxx Circuits, networks (2 articles)
-
94C05 Analytic circuit theory (8 articles)
-
94C10 Switching theory, application of Boolean algebra; Boolean functions (20 articles)
-
94C12 Fault detection; testing (2 articles)
-
94C15 Applications of graph theory (12 articles)
-
94C30 Applications of design theory (3 articles)
-
94C99 None of the above, but in this section (7 articles)
-
94D05 Fuzzy sets and logic (in connection with questions of Section 94) (31 articles)
-
97 Mathematics education (529 articles)
-
97 Mathematics education
-
97-00 General reference works (handbooks, dictionaries, bibliographies, etc.) (1 articles)
-
97-01 Instructional exposition (textbooks, tutorial papers, etc.) (3 articles)
-
97-02 Research exposition (monographs, survey articles)
-
97-03 Historical (must also be assigned at least one classification number from Section 01) (20 articles)
-
97-04 Explicit machine computation and programs (not the theory of computation or programming)
-
97-06 Proceedings, conferences, collections, etc. (3 articles)
-
97Axx General (8 articles)
-
97Bxx Educational policy and educational systems (65 articles)
-
97Bxx Educational policy and educational systems (2 articles)
-
97B10 Educational research and planning (2 articles)
-
97B20 General education (29 articles)
-
97B30 Vocational education (1 articles)
-
97B40 Higher education (8 articles)
-
97B50 Teacher education (6 articles)
-
97B60 Out-of-school education. Adult and further education (1 articles)
-
97B70 Syllabuses. Curriculum guides, official documents (1 articles)
-
97B99 None of the above, but in this section (15 articles)
-
97Cxx Psychology of and research in mathematics education (42 articles)
-
97Cxx Psychology of and research in mathematics education (3 articles)
-
97C20 Affective aspects (motivation, anxiety, persistence, etc.)
-
97C30 Student learning and thinking (misconceptions, cognitive development, problem solving, etc.) (17 articles)
-
97C40 Assessment (large scale assessment, validity, reliability, etc.)
-
97C50 Theoretical perspectives (learning theories, epistemology, philosophies of teaching and learning, etc.)
-
97C60 Sociological aspects of learning (culture, group interactions, equity issues, etc.)
-
97C70 Teachers, and research on teacher education (teacher development, etc.) (7 articles)
-
97C80 Technological tools and other materials in teaching and learning (research on innovations, role in student learning, use of tools by teachers, etc.)
-
97C90 Teaching and curriculum (innovations, teaching practices, studies of curriculum materials, effective teaching, etc. )
-
97C99 None of the above, but in this section (15 articles)
-
97Dxx Education and instruction in mathematics (116 articles)
-
97Dxx Education and instruction in mathematics (12 articles)
-
97D10 Comparative studies on mathematics education (2 articles)
-
97D20 Philosophical and theoretical contributions to mathematical education (3 articles)
-
97D30 Goals of mathematics teaching. Curriculum development (1 articles)
-
97D40 Teaching methods and classroom techniques. Lesson preparation. Educational principles (34 articles)
-
97D50 Teaching problem solving and heuristic strategies (5 articles)
-
97D60 Achievement control and rating (17 articles)
-
97D70 Diagnosis, analysis and remediation of learning difficulties and student errors (3 articles)
-
97D80 Teaching units, draft lessons and master lessons (1 articles)
-
97D99 None of the above, but in this section (38 articles)
-
97Uxx Educational material and media. Educational technology (271 articles)
-
97Uxx Educational material and media. Educational technology (5 articles)
-
97U20 Analysis of textbooks, development and evaluation of textbooks. Textbook use in the classroom (14 articles)
-
97U30 Teacher manuals and planning aids (1 articles)
-
97U40 Problem books; student competitions, examination questions (164 articles)
-
97U50 Computer assisted instruction and programmed instruction (34 articles)
-
97U60 Manipulative materials and their use in the classroom (31 articles)
-
97U70 Technological tools (computers, calculators, software, etc.) and their use in the classroom (16 articles)
-
97U80 Audiovisual media and their use in instruction
-
97U99 None of the above, but in this section (6 articles)
-
99 (1940-1958) Miscellaneous
-
99 (1940-1958) Miscellaneous
-
99.0 (1940-1958) Miscellaneous
Partner of