| Title:
|
Plimpton 322 — přelomový objev? (Czech) |
| Title:
|
Plimpton 322 — A Breakthrough Discovery? (English) |
| Author:
|
Bečvářová, Martina |
| Author:
|
Veselý, Jiří |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
62 |
| Issue:
|
4 |
| Year:
|
2017 |
| Pages:
|
254-263 |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Článek pojednává o matematicky velmi zajímavé mezopotámské hliněné tabulce známé pod názvem Plimpton 322, která ukazuje vyspělost tehdejších matematických znalostí a která je v současné době zdrojem zajímavých spekulací. (Czech) |
| MSC:
|
01A17 |
| . |
| Date available:
|
2018-02-07T07:10:03Z |
| Last updated:
|
2019-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147068 |
| . |
| Reference:
|
[1] Aaboe, A.: Episodes from the early history of mathematics.. New Mathematical Library 13. Mathematical Association of America, Washington, 1964. Zbl 0129.24703, MR 0159739 |
| Reference:
|
[2] Abdulaziz, A. A.: The Plimpton 322 tablet and the Babylonian method of generating Pythagorean triples.. arXiv:1004.0025v1 [math.HO], 1–34. |
| Reference:
|
[3] Bečvářová, M.: Matematika ve staré Mezopotámii.. In: Bečvář, J., Bečvářová, M., Vymazalová, H. (Eds): Matematika ve starověku. Egypt a Mezopotámie. Dějiny matematiky 23. Prometheus, Praha, 2003. MR 2109719 |
| Reference:
|
[4] Britton, J. P., Proust, Ch., Shnider, S.: Plimpton 322: a review and a different perspective.. Arch. Hist. Exact Sci. 5 (2011), 519–566. Zbl 1228.01002, MR 2838357, 10.1007/s00407-011-0083-4 |
| Reference:
|
[5] Creighton, B. R.: Sherlock Holmes in Babylon.. Amer. Math. Monthly 87 (1980), 338–345. Zbl 0435.01001 |
| Reference:
|
[6] Hajossy, R.: Plimpton 322: A universal cuneiform table for old Babylonian mathematicians, builders, surveyors and teachers.. Tatra Mt. Math. Publ. 67 (2016), 1–40. MR 3632499 |
| Reference:
|
[7] Joyce, D. E.: Plimpton 322 Tablet.. Clark University, 1995 [online], [cit. 20. 10. 2017]. Dostupné z: http://aleph0.clarku.edu/~djoyce/mathhist/plimpnote.html |
| Reference:
|
[8] Kennedy, M.: Mathematical secrets of ancient tablet unlocked after nearly a century of study.. The Guardian, 2017 [online], [cit. 20. 10. 2017]. Dostupné z: https://www.theguardian.com/science/2017/aug/24/mathematical-secrets-of- ancient-tablet-unlocked-after-nearly-a-century-of-study |
| Reference:
|
[9] Kline, M.: Mathematical thoughts from ancient to modern times.. Oxford University Press, New York, 1990 (první vydání 1972). MR 0472307 |
| Reference:
|
[10] Knapton, S.: 3,700-year-old Babylonian tablet rewrites the history of maths – and shows the Greeks did not develop trigonometry.. The Telegraph, 2017 [online], [cit. 20. 10. 2017]. Dostupné z: http://www.telegraph.co.uk/science/2017/08/24/3700-year-old-babylonian-tablet-rewrites-history-maths-could/ |
| Reference:
|
[11] Knuth, D. E.: Ancient Babylonian algorithms.. Comm. ACM 15 (1972), 671–677. Zbl 0245.68010, MR 0392315, 10.1145/361454.361514 |
| Reference:
|
[12] Lamb, E.: Don’t fall for Babylonian trigonometry hype. Separating fact from speculation in math history.. Scientific American, 2017 [online], [cit. 20. 10. 2017]. Dostupné z: https://blogs.scientificamerican.com/roots-of-unity/dont-fall-for- babylonian-trigonometry-hype/ |
| Reference:
|
[13] Mansfield, D. F.: Ancient Babylonian tablet – world’s first trig table.. UNSWTV 2017, YouTube [online], [cit. 20. 10. 2017]. Dostupné z: https://www.youtube.com/watch?v=i9-ZPGp1AJE |
| Reference:
|
[14] Mansfield, D. F., Wildberger, N. J.: Plimpton 322 is Babylonian exact sexagesimal trigonometry.. Hist. Math. 44 (2017), 395–419. MR 3716328, 10.1016/j.hm.2017.08.001 |
| Reference:
|
[15] Česká televize: Matematici odhalili záhadu babylonské hliněné destičky. Obsahovala první popis trigonometrie.[online], [cit. 20. 10. 2017]. Dostupné z: http://www.ceskatelevize.cz/ct24/veda/2223535-matematici-odhalili-zahadu-babylonske-hlinene-desticky-obsahovala-prvni-popis |
| Reference:
|
[16] Neugebauer, O.: Mathematische Keilschrift-Texte.. Verlag von Julius Springer, Berlin, 1935 (erster und zweiter Teil), 1937 (dritter Teil) (reprint Springer-Verlag, Berlin, 1973). Zbl 0255.01001, MR 0465671 |
| Reference:
|
[17] Neugebauer, O., Sachs, A.: Mathematical cuneiform texts.. American Oriental Society and the American Schools of Oriental Research, New Haven, 1945 (reprint American Oriental Society, New Haven, 1986). Zbl 0060.00401, MR 0016320 |
| Reference:
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[18] Robson, E.: Neither Sherlock Holmes nor Babylon: A reassessment of Plimpton 322.. Historia Math. 28 (2001), 167–206. Zbl 0991.01001, MR 1849797, 10.1006/hmat.2001.2317 |
| Reference:
|
[19] Robson, E.: Words and pictures: new light on Plimpton 322. Zbl 1030.01005 |
| Reference:
|
[20] Thureau-Dangin, F.: Le théorème de Pythagore. (Notes Assyriologigues LXVIII.). Revue d’Assyriologie et d’Archéologie Orientale 29 (1932), 131–142. |
| Reference:
|
[21] Wildberger, N. J.: Old Babylonian mathematics and Plimpton 322: A new understanding of the OB tablet Plimpton 322.. YouTube [online], [cit. 20. 10. 2017]. Dostupné z: https://www.youtube.com/watch?v=L24GzTaOll0 |
| . |
