References for: Pythagoras's theorem in Babylonian mathematics


Version for printing
Books

  1. A Aaboe, Episodes from the Early History of Mathematics (1964).
  2. R Calinger, A conceptual history of mathematics (Upper Straddle River, N. J., 1999).
  3. G Ifrah, A universal history of numbers : From prehistory to the invention of the computer (London, 1998).
  4. G G Joseph, The crest of the peacock (London, 1991).
  5. O Neugebauer and A Sachs, Mathematical Cuneiform Texts (New Haven, CT., 1945).
  6. B L van der Waerden, Science Awakening (Groningen, 1954).
  7. B L van der Waerden, Geometry and Algebra in Ancient Civilizations (New York, 1983).

Articles:

  1. A Ahmad, On Babylonian and Vedic square root of 2, Ganita Bharati 16 (1-4) 1994), 1-4.
  2. C Anagnostakis and B R Goldstein, On an error in the Babylonian table of Pythagorean triples, Centaurus 18 (1973/74), 64-66.
  3. J K Bidwell, A Babylonian geometrical algebra, College Math. J. 17 (1) (1986), 22-31.
  4. E M Bruins, Fermat problems in Babylonian mathematics, Janus 53 (1966), 194-211.
  5. E M Bruins, On Plimpton 322. Pythagorean numbers in Babylonian mathematics, Nederl. Akad. Wetensch., Proc. 52 (1949), 629-632.
  6. E M Bruins, Pythagorean triads in Babylonian mathematics, Math. Gaz. 41 (1957), 25-28.
  7. E M Bruins, Pythagorean triads in Babylonian mathematics. The errors on Plimpton 322, Sumer 11 (1955), 117-121.
  8. E M Bruins, Square roots in Babylonian and Greek mathematics, Nederl. Akad. Wetensch. Proc. 51 (1948), 332-341.
  9. M Caveing, La tablette babylonienne AO 17264 du Musée du Louvre et le problème des six frères, Historia Math. 12 (1) (1985), 6-24.
  10. T G Exarchakos, Babylonian mathematics and Pythagorean triads, Bull. Greek Math. Soc. 37 (1995), 29-47.
  11. D Fowler and E Robson, Square root approximations in old Babylonian mathematics: YBC 7289 in context, Historia Math. 25 (4) (1998), 366-378.
  12. J Friberg, Methods and traditions of Babylonian mathematics. II. An old Babylonian catalogue text with equations for squares and circles, J. Cuneiform Stud. 33 (1) (1981), 57-64.
  13. J Friberg, Methods and traditions of Babylonian mathematics: Plimpton 322, Pythagorean triples and the Babylonian triangle parameter equations, Historia Math. 8 (3) (1981), 277-318.
  14. R J Gillings, Unexplained error in Babylonian cuneiform tablet, Plimpton 322, Australian J. Sci. 16 (1953), 54-56.
  15. R J Gillings, and C L Hamblin, Babylonian sexagesimal reciprocal tables, Austral. J. Sci. 27 (1964), 139-141.
  16. J Hoyrup, The Babylonian cellar text BM 85200+ VAT 6599: Retranslation and analysis, in Amphora (Basel, 1992), 315-358.
  17. S Ilic, M S Petkovic and D Herceg, A note on Babylonian square-root algorithm and related variants, Novi Sad J. Math. 26 (1) (1996), 155-162.
  18. M Linton, Babylonian triples, Bull. Inst. Math. Appl. 24 (3-4) (1988), 37-41.
  19. K Muroi, Extraction of cube roots in Babylonian mathematics, Centaurus 31 (3-4) (1988), 181-188.
  20. K Muroi, Extraction of square roots in Babylonian mathematics, Historia Sci. (2) 9 (2) (1999), 127-133.
  21. K Muroi, The expressions of zero and of squaring in the Babylonian mathematical text VAT 7537, Historia Sci. (2) 1 (1) (1991), 59-62.
  22. D J de Solla Price, The Babylonian "Pythagorean triangle" tablet, Centaurus 10 (1964/1965), 1-13.
  23. O Schmidt, On Plimpton 322: Pythagorean numbers in Babylonian mathematics, Centaurus 24 (1980), 4-13.
  24. T Viola, On the list of Pythagorean triples ("Plimpton 322") and on a possible use of it in old Babylonian mathematics (Italian), Boll. Storia Sci. Mat. 1 (2) (1981), 103-132.

JOC/EFR December 2000

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