Guest guest Posted July 20, 2008 Report Share Posted July 20, 2008 Nilakanthan Somayaji Nilakantha (1444-1544) was a disciple of Govinda, son of Parameshvara. He was a brahmin from Trkkantiyur in Ponnani taluk. His younger brother Sankara was also a scholar in astronomy. Nilakantha's most notable work Tantra Samgraha (which 'spawned' a later anonymous commentary Tantrasangraha-vyakhya and a further commentary by the name Yukthideepika, written in 1501) he elaborates and extends the contributions of Madhava.[25] Nilakantha was also the author of Aryabhatiya-bhashya, a commentary of the Aryabhatiya. Of great significance in Nilakantha's work includes the presence of inductive mathematical proofs, a derivation and proof of the Madhava-Gregory series of the arctangent trigonometric function, improvements and proofs of other infinite series expansions by Madhava, an improved series expansion of ð that converges more rapidly, and the relationship between the power series of ð and arctangent.[25] He also gave sophisticated explanations of the irrationality of ð, the correct formulation for the equation of the center of the planets, and a heliocentric model of the solar system.[17] http://en.wikipedia.org/wiki/Kerala_school_of_astronomy_and_mathematics Quote Link to comment Share on other sites More sharing options...
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