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Plimpton 322 : A Universal Cuneiform Table for Old Babylonian Mathematicians, Builders, Surveyors and Teachers


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[1] NEUGEBAUER, O.—SACHS, A. J.: Mathematical Cuneiform Texts. With a Chapter by A. Goetze. American Oriental Series, Vol. 29, American Oriental Society and the American Schools of Oriental Research, New Haven Connecticut, 1945.Search in Google Scholar

[2] BRUINS, E. M.: On Plimpton 322. Pythagorean numbers in Babylonian mathematics, Proc. Akad. Wet. Amsterdam 52 (1949), 629–632.Search in Google Scholar

[3] DE SOLLA PRICE, D. J.: The Babylonian Pythagorean triangle tablet, Centaurus 10 (1964), 219–231.Search in Google Scholar

[4] FRIBERG, J.: Methods and traditions of Babylonian mathematics. Plimpton 322, Pythagorean triples, and the Babylonian triangle parameter equations, Hist. Math. 8 (1981), 277–318.10.1016/0315-0860(81)90069-0Search in Google Scholar

[5] HØYRUP, J.: Algebra and naive geometry. An investigation of some basic aspects of Old Babylonian mathematical thought, Altorientalische Forschungen 17 (1990), 262–266.Search in Google Scholar

[6] JOYCE, D. E.: Plimpton 322, Department of Math. and Comput. Sci., Clark University, 1995; http:/aleph0.clarku.edu/~djoyce/mathhist/plimpnote.htmSearch in Google Scholar

[7] ROBSON, E.: Neither Sherlock Holmes nor Babylon: a reassessment of Plimpton 322. Hist. Math. 28 (2001), 1–40.Search in Google Scholar

[8] CASSELMAN, W.: The Babylonian Tablet Plimpton 322, University of British Columbia, Vancouver, BC, Canada, 2003; http://www.math.ubc.ca/~cass/courses/m446-03/pl322/pl322.htmlSearch in Google Scholar

[9] FRIBERG, J.: A remarkable collection of Babylonian mathematical texts, sources and studies in the history of mathematics and physical sciences, (especially, Appendix 8 Plimpton 322, a Table of Parameters for igi-igi.bi Problems), Springer, Berlin, 2007, pp. 433–452.Search in Google Scholar

[10] BRITTON, J. P.—PROUST, CH.—SHNIDER, S.: Plimpton 322: a review and a different perspective, Arch. Hist. Exact Sci. 65 (2011), 519–566.10.1007/s00407-011-0083-4Search in Google Scholar

[11] PROUST, CH.: Trouver Toutes les Diagonales. Plimpton 322:à la Recherche des Rectangles Sexagésimaux, Une Version Mésopotamienne de la Recherche des “Triplets Pythagoriciens”, Images des Mathématiques, 2015.Search in Google Scholar

[12] ROBSON, E.: Words and pictures: New light on Plimpton 322, Amer. Math. Monthly 109 (2001), 105–120.10.1080/00029890.2002.11919845Search in Google Scholar

[13] ABDULAZIZ, A. A.: The Plimpton 322 tablet and the Babylonian method of generating Pythagorean triples, University of Balamand, 2010, 1–34; http://arxiv.org/abs/1004.0025v1Search in Google Scholar

[14] ANAGNOSTAKIS, C.—GOLDSTEIN, B. R.: On an error in the Babylonian table of Pythagorean triples, Centaurus 18 (1974), 64–66.10.1111/j.1600-0498.1974.tb00209.xSearch in Google Scholar

[15] NEUGEBAUER, O.: Mathematische Keilschriftexte. Mathematical Cuneiform Texts, Edition with Translation and Commentary in German, Zweiter Teil/Dritter Teil, Springer-Verlag, Berlin, 1973; Glossar 30, 32, 12.Search in Google Scholar

[16] HANKO, M.—HAUPTVOGL, M.—HAUPTVOGL, H.: (Personal communications.)Search in Google Scholar

[17] BRUINS, E. M.: Pythagorean triads in Babylonian mathematics. The Mathematical Gazette 41 (1957), 25–28.Search in Google Scholar

[18] PROUST, CH.: On the nature of the table Plimpton 322, Mathematisches Forschunginstitut Oberwolfach, Oberwolfach Report 12/2011, 664–666.Search in Google Scholar

[19] KARATSUBA, A.—OFMAN, YU.: Multiplication of many-digital numbers by automatic computers. Proc. of the USSR Academy of Sci. 145 (1962), 293–294.Search in Google Scholar

eISSN:
1210-3195
Język:
Angielski
Częstotliwość wydawania:
3 razy w roku
Dziedziny czasopisma:
Mathematics, General Mathematics