References for Aryabhata

Version for printing
  1. D Pingree, Biography in Dictionary of Scientific Biography (New York 1970-1990).
    http://www.encyclopedia.com/doc/1G2-2830900173.html
  2. Biography in Encyclopaedia Britannica.
    http://www.britannica.com/EBchecked/topic/37461/Aryabhata-I

Books:

  1. G Ifrah, A universal history of numbers : From prehistory to the invention of the computer (London, 1998).
  2. H-J Ilgauds, Aryabhata I, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983).

Articles:

  1. A Ahmad, On the π of Aryabhata I, Ganita Bharati 3 (3-4) (1981), 83-85.
  2. R Behari, Aryabhata as a mathematician, Indian J. Hist. Sci. 12 (2) (1977), 147-149.
  3. R Billard, Aryabhata and Indian astronomy, Indian J. Hist. Sci. 12 (2) (1977), 207-224.
  4. G M Bongard Levin, Aryabhata and Lokayatas, Indian J. Hist. Sci. 12 (2) (1977), 187-193.
  5. E M Bruins, With roots towards Aryabhata's π-value, Ganita Bharati 5 (1-4) (1983), 1-7.
  6. B Chatterjee, A glimpse of Aryabhata's theory of rotation of earth, Indian J. History Sci. 9 (1) (1974), 51-55, 141.
  7. B Datta, Two Aryabhatas of al-Biruni, Bull. Calcutta Math. Soc. 17 (1926), 59-74.
  8. S L Dhani, Manvantara theory of evolution of solar system and Aryabhata, Indian J. Hist. Sci. 12 (2) (1977), 161-166.
  9. K Elfering, The area of a triangle and the volume of a pyramid as well as the area of a circle and the surface of the hemisphere in the mathematics of Aryabhata I, Indian J. Hist. Sci. 12 (2) (1977), 232-236.
  10. E G Forbes, Mesopotamian and Greek influences on ancient Indian astronomy and on the work of Aryabhata, Indian J. Hist. Sci. 12 (2) (1977), 150-160.
  11. Ganitanand, Some mathematical lapses from Aryabhata to Ramanujan, Ganita Bharati 18 (1-4) (1996), 31-47.
  12. R C Gupta, Aryabhata, ancient India's great astronomer and mathematician, Math. Education 10 (4) (1976), B69-B73.
  13. R C Gupta, A preliminary bibliography on Aryabhata I, Math. Education 10 (2) (1976), B21-B26.
  14. R C Gupta, Aryabhata I's value of π, Math. Education 7 (1973), B17-B20.
  15. B Ishwar, Development of Indian astronomy at the time of Aryabhata I, Ganita Bharati 6 (1-4) (1984), 19-24.
  16. L C Jain, Aryabhata I and Yativrsabha - a study in Kalpa and Meru, Indian J. Hist. Sci. 12 (2) (1977), 137-146.
  17. P Jha, Aryabhata I : the man and author, Math. Ed. (Siwan) 17 (2) (1983), 50-60.
  18. P Jha, Aryabhata I and the value of π, Math. Ed. (Siwan) 16 (3) (1982), 54-59.
  19. S Kak, The Aryabhata cipher, Cryptologia 12 (2) (1988), 113-117.
  20. M S Khan, Aryabhata I and al-Biruni, Indian J. Hist. Sci. 12 (2) (1977), 237-244.
  21. C Müller, Volumen und Oberfläche der Kugel bei Aryabhata I, Deutsche Math. 5 (1940), 244-255.
  22. S Parameswaran, On the nativity of Aryabhata the First, Ganita Bharati 16 (1-4) (1994), 57-60.
  23. B N Prasad and R Shukla, Aryabhata of Kusumpura, Bull. Allahabad Univ. Math. Assoc. 15 (1951), 24-32.
  24. R N Rai, The Ardharatrika system of Aryabhata I, Indian J. History Sci. 6 (1971), 147-152.
  25. S N Sen, Aryabhata's mathematics, Bull. Nat. Inst. Sci. India 21 (1963), 297-319.
  26. M L Sharma, Indian astronomy at the time of Aryabhata, Indian J. Hist. Sci. 12 (2) (1977), 100-105.
  27. M L Sharma, Aryabhata's contribution to Indian astronomy, Indian J. Hist. Sci. 12 (2) (1977), 90-99.
  28. K S Shukla, Use of hypotenuse in the computation of the equation of the centre under the epicyclic theory in the school of Aryabhata I, Indian J. History Sci. 8 (1973), 43-57.
  29. K S Shukla, Aryabhata I's astronomy with midnight day-reckoning, Ganita 18 (1967), 83-105.
  30. K S Shukla, Glimpses from the 'Aryabhata-siddhanta', Indian J. Hist. Sci. 12 (2) (1977), 181-186.
  31. B L van der Waerden, The 'Day of Brahman' in the work of Aryabhata, Arch. Hist. Exact Sci. 38 (1) (1988), 13-22.
  32. A Volodarsky, Mathematical achievements of Aryabhata, Indian J. Hist. Sci. 12 (2) (1977), 167-172.
  33. M Yano, Aryabhata's possible rebuttal to objections to his theory of the rotation of the Earth, Historia Sci. 19 (1980), 101-105.

JOC/EFR November 2000

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