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integral of several variables; characterization of primitives
We present a simplified integral of functions of several variables. Although less general than the Riemann integral, most functions of practical interest are still integrable. On the other hand, the basic integral theorems can be obtained more quickly. We also give a characterization of the integrable functions and their primitives.
[1] Bartle, R. G.: A Modern Theory of Integration. Amer. Math. Society, Providence, Rhode Island (2001). MR 1817647 | Zbl 0968.26001
[2] Botsko, M. W.: The use of full covers in real analysis. Amer. Math. Monthly 96 (1989), 328-333. DOI 10.2307/2324087 | MR 0992079 | Zbl 0721.26003
[3] Dieudonné, J.: Foundations of Modern Analysis. Academic Press, New York and London (1969). MR 0349288
[4] Pfeffer, Washek F.: The Riemann Approach to Integration: Local Geometric Theory Cambridge University Press, Cambridge. (1993). MR 1268404
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