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The Correction of the M?dhava Series for the Circumference of a Circle

1990; Wiley; Volume: 33; Issue: 2 Linguagem: Inglês

10.1111/j.1600-0498.1990.tb00725.x

1600-0498

T. Hayashi, TAKANORI KUSUBA, Mitsuaki Yano,

Botanical Research and Chemistry

CentaurusVolume 33, Issue 2 p. 149-174 The Correction of the Mādhava Series for the Circumference of a Circle T. Hayashi*, T. Hayashi*Search for more papers by this authorT. Kusuba**, T. Kusuba**Search for more papers by this authorM. Yano***, M. Yano***Search for more papers by this author T. Hayashi*, T. Hayashi*Search for more papers by this authorT. Kusuba**, T. Kusuba**Search for more papers by this authorM. Yano***, M. Yano***Search for more papers by this author First published: July 1990 https://doi.org/10.1111/j.1600-0498.1990.tb00725.xCitations: 14 *Doshisha University, Kyoto, Japan. **Osaka University of Economics, Osaka, Japan. ***Kyoto Sangyo University, Kyoto, Japan. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References Datta, B. & A. N. Singh 1962: History of Hindu Mathematics.Bombay. Originally published in 1935 (Part I) and 1938 (Part II). Google Scholar Gupta, R. C. 1976: “Mādhava's Power Series Computation of the Sine”, Ganita 27, 19–24. Google Scholar Hayashi, T., Kusuba, T. & M. Yano 1989: Indian Values for π Derived from Āryabhafa's Value, Historia Scientiarum 37, 1–16. Google Scholar Juschkewitsch, A. P. 1964: Geschichte der Mathematik im Mittelalter. Translated into German by V. Ziegler. Leipzig. Google Scholar Marar, K. M. & C. T. Rajagopal 1944: “On the Hindu Quadrature of the Circle”, Journal of the Bombay Branch of the Royal Asiatic Society, NS 20, 65–82. Google Scholar N?lakantha 1930: Āryabhat?yabhāsya. Ed. by K. S. Sastri. TSS 101. Trivandrum. Google Scholar N?lakantha 1970: Golasāra. Ed. by K. V. Sarma. Hoshiarpur. Google Scholar N?lakantha1977: Tantrasamgraha. with Śańkara's commentaries, VyāMkhyāM and laghuvivrti, Ed. by K. V. Sarma. Hoshiarpur. Google Scholar Pingree, D. 1981: JyotihśāMstra: Astral and Mathematical literature. Wiesbaden. Google Scholar Pingree, D.198182: “ Power Series in Medieval Indian Trigonometry”, Proceedings of the South Asia Seminar II (University of Pennsylvania), pp. 25–30. Google Scholar Rajagopal, C. T. & T. V. V. Aiyar 1951: “On the Hindu Proof of Gregory's Series”, Scripta Mathematica 17, 65–74. Google Scholar Rajagopal, C. T. & M. S. Rangachari 1978: “On an Untapped Source of Medieval Keralese Mathematics”, Archive for History of Exact Sciences 18, 89–102. 10.1007/BF00348142 Web of Science®Google Scholar SMankara 1975: Kriyākramakar?M (a commentary on the L?lāMvati). Ed. by K. V. Sarma. Hoshiarpur. Google Scholar ŚMankarí 1977: Yuktid̄ip?kaM (also called Tantrasamgrahavyākhyā). See N?Mlakantha [1977] above. Google Scholar D. A. Somayaji 1985: “ The Yuga system and the Computations of Mean and True Planetary Longitudes”. S. N. Sen & K. S. Shukla (eds), History of Astronomy in India. New Delhi, pp. 145–187. Google Scholar Sarasvati Amma, T. A. 1979: Geometry in Ancient &Medieval India. Delhi. Google Scholar Saraswathi, T. A. 1963: “The Development of Mathematical Series in India after Bhāskara II”, Bulletin of the National Institute of Science in India 21, 320–343. Google Scholar Tropfke, J. 1940: Geschichte der Elementar-Mathematik.4. Band. Berlin-Leipzig. Google Scholar Citing Literature Volume33, Issue2July 1990Pages 149-174 ReferencesRelatedInformation