Madhava of Sangamagrama

Mādhava of Sangamagrāma
Bornc. 1340[1][2][3] (or c. 1350[4])
Diedc. 1425 (aged 75–85)
OccupationAstronomer-mathematician
Known forDiscovery of power series
Expansions of trigonometric Sine, Cosine and Arctangent functions
Infinite series summation formulae for π
Notable workGolavāda, Madhyāmanayanaprakāra, Veṇvāroha, Sphuṭacandrāpti
TitleGolavid (Master of Spherics)

Mādhava of Sangamagrāma (Mādhavan)[5] (c. 1340 – c. 1425) was an Indian mathematician and astronomer who is considered to be the founder of the Kerala school of astronomy and mathematics in the Late Middle Ages. Madhava made pioneering contributions to the study of infinite series, calculus, trigonometry, geometry and algebra. He was the first to use infinite series approximations for a range of trigonometric functions, which has been called the "decisive step onward from the finite procedures of ancient mathematics to treat their limit-passage to infinity".[1] He is noted for his very early foundation for Mathematical Analysis.[6]

  1. ^ a b C. T. Rajagopal & M.S.Rangachari (1978). "On an Untapped Source of Medieval Keralese Mathematics". Archive for History of Exact Sciences. 18 (2): 101. doi:10.1007/BF00348142. S2CID 51861422.
  2. ^ Roy, Ranjan (1990). "The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha" (PDF). Mathematics Magazine. 63 (5): 291–306. doi:10.2307/2690896. JSTOR 2690896. Archived from the original (PDF) on 24 February 2012.
  3. ^ Ian G. Pearce (2002). Madhava of Sangamagramma. MacTutor History of Mathematics archive. University of St Andrews.
  4. ^ Cite error: The named reference mact-biog was invoked but never defined (see the help page).
  5. ^ K. V. Sarma (1972). A History of the Kerala School of Hindu Astronomy (in perspective). Hoshiarpur: Vishveshvaranand Institute of Sanskrit & Indological Studies, Panjab University. p. 51. Bibcode:1972hksh.book.....S. Available [1]
  6. ^ George G. Joseph (1991). The crest of the peacock. pp-317,431 London

Madhava of Sangamagrama

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