sexta-feira, 6 de novembro de 2015

Matemática indiana - 8


Finalmente, também publico o conjunto de referências da série "Matemática indiana".


An Ayurveda mantra inscribed in rocks at Zanskar, India. Photographer unknown.

Um mantra Ayurveda inscrito em rochas em Zanskar, Índia. - asiasociety.org
Livros fonte em sânscrito
  • Keller, Agathe (2006), Expounding the Mathematical Seed. Vol. 1: The Translation: A Translation of Bhaskara I on the Mathematical Chapter of the Aryabhatiya, Basel, Boston, and Berlin: Birkhäuser Verlag, 172 pages, ISBN 3-7643-7291-5.
  • Keller, Agathe (2006), Expounding the Mathematical Seed. Vol. 2: The Supplements: A Translation of Bhaskara I on the Mathematical Chapter of the Aryabhatiya, Basel, Boston, and Berlin: Birkhäuser Verlag, 206 pages, ISBN 3-7643-7292-3.
  • Neugebauer, Otto; Pingree (eds.), David (1970), The Pañcasiddhāntikā of Varāhamihira, New edition with translation and commentary, (2 Vols.), Copenhagen.
  • Pingree, David (ed) (1978), The Yavanajātaka of Sphujidhvaja, edited, translated and commented by D. Pingree, Cambridge, MA: Harvard Oriental Series 48 (2 vols.).
  • Sarma, K. V. (ed) (1976), Āryabhaṭīya of Āryabhaṭa with the commentary of Sūryadeva Yajvan, critically edited with Introduction and Appendices, New Delhi: Indian National Science Academy.
  • Sen, S. N.; Bag (eds.), A. K. (1983), The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava, with Text, English Translation and Commentary, New Delhi: Indian National Science Academy.
  • Shukla, K. S. (ed) (1976), Āryabhaṭīya of Āryabhaṭa with the commentary of Bhāskara I and Someśvara, critically edited with Introduction, English Translation, Notes, Comments and Indexes, New Delhi: Indian National Science Academy.
  • Shukla, K. S. (ed) (1988), Āryabhaṭīya of Āryabhaṭa, critically edited with Introduction, English Translation, Notes, Comments and Indexes, in collaboration with K.V. Sarma, New Delhi: Indian National Science Academy.
Referências
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  • Boyer, C. B.; Merzback (fwd. by Isaac Asimov), U. C. (1991), History of Mathematics, New York: John Wiley and Sons, 736 pages, ISBN 0-471-54397-7.
  • Bressoud, David (2002), "Was Calculus Invented in India?", The College Mathematics Journal (Math. Assoc. Amer.) 33(1): 2–13, doi:10.2307/1558972, JSTOR 1558972.
  • Bronkhorst, Johannes (2001), "Panini and Euclid: Reflections on Indian Geometry", Journal of Indian Philosophy,(Springer Netherlands) 29 (1–2): 43–80, doi:10.1023/A:1017506118885.
  • Burnett, Charles (2006), "The Semantics of Indian Numerals in Arabic, Greek and Latin", Journal of Indian Philosophy,(Springer-Netherlands) 34 (1–2): 15–30, doi:10.1007/s10781-005-8153-z.
  • Burton, David M. (1997), The History of Mathematics: An Introduction, The McGraw-Hill Companies, Inc., pp. 193–220.
  • Cooke, Roger (2005), The History of Mathematics: A Brief Course, New York: Wiley-Interscience, 632 pages, ISBN 0-471-44459-6.
  • Dani, S. G. (25 July 2003), "Pythogorean Triples in the Sulvasutras" (PDF), Current Science 85 (2): 219–224.
  • Datta, Bibhutibhusan (Dec 1931), "Early Literary Evidence of the Use of the Zero in India", The American Mathematical Monthly 38 (10): 566–572, doi:10.2307/2301384, JSTOR 2301384.
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