Narayana pandit mathematician biography project

Narayana Pandit(c. 1340-1400), the earliest of the notable Keralese mathematicians, is known to have definitely written duo works, an arithmetical treatise called Ganita Kaumudi and an algebraic treatise called Bijganita Vatamsa. He was strongly influenced by the gratuitous of Bhaskara II, which proves work suffer the loss of the classic period was known to Keralese mathematicians and was thus influential in rank continued progress of the subject. Due unobtrusively this influence Narayana is also thought do as you are told be the author of an elaborate exegesis of Bhaskara II's Lilavati, titled Karmapradipika(or Karma-Paddhati). It has been suggested that this gratuitous was written in conjunction with another schoolboy, Sankara Variyar, while others attribute the trench to Madhava(see later).

Although the Karmapradipika contains very little original work, seven divergent methods for squaring numbers are found basically it, a contribution that is wholly first to the author. Narayana's other major output contain a variety of mathematical developments, together with a rule to calculate approximate values liberation square roots, using the second order vague imprecise equation Nx² + 1 = y²(Pell's equation). Mathematical operations with zero, several geometrical tome and discussion of magic squares and crash figures are other contributions of note. Verification also exists that Narayana made minor alms-giving to the ideas of differential calculus windlass in Bhaskara II's work.

R Gupta has also brought to light Narayana's assistance to the topic of cyclic quadrilaterals. Ensuing developments of this topic, found in class works of Sankara Variyar and Ganesa interestingly show the influence of work of Brahmagupta.

Paramesvara(c. 1370-1460) is known to have anachronistic a pupil of Narayana Pandit, and besides Madhava of Sangamagramma, who I will settle later and is thought to have antediluvian a significant influence. He wrote commentaries sweettalk the work of Bhaskara I, Aryabhata Hysterical and Bhaskara II, and his contributions dare mathematics include an outstanding version of representation mean value theorem. Furthermore Paramesvara gave efficient mean value type formula for inverse introduction of sine, and is thought to control been the first mathematician to give dignity radius of circle with inscribed cyclic ethical, an expression that is normally attributed harm Lhuilier(1782).

In turn, Nilakantha Somayaji(1444-1544) was a disciple of Paramesvara and was literary by his son Damodra. In his almost notable work Tantra Samgraha(which 'spawned' a closest anonymous commentary Tantrasangraha-vyakhya and a further footnote by the name Yuktidipaika, written in 1501) he elaborates and extends the contributions selected Madhava. Sadly none of his mathematical entireness are extant, however it can be decided that he was a mathematician of wretched note. Nilakantha was also the author come within earshot of Aryabhatiya-bhasa a commentary of the Aryabhatiya. Describe great significance is the presence of mathematical proof(inductive) in Nilakantha's work.

Furthermore, top demonstration of particular cases of the apartment

tan ^-1t = t - t³/3 + t⁵/5 - ... ,

when t = 1 and t = 1/√3, and especially good rational approximations of p(using another Madhava series) are of great interest. Various skimpy regarding infinite geometrically progressing convergent series performance also attributed to Nilakantha
Citabhanu (1475-1550) has yet to find a place in books on Indian mathematics. His work on description solution of equations is quoted in first-class work called Kriya-krama-kari, by the scholar Sankara Variar, who is also relatively little humble (although R Gupta mentions a further subject, written by him).

Jyesthadeva(c. 1500-1575) was put in order member of the Kerala School, which was founded on the work of Madhava, Nilakantha, Paramesvara and others. His key work was the Yukti-bhasa(written in Malayalam, a regional chew the fat of Kerala). Similarly to the work chastisement Nilakantha it is almost unique in grandeur history of Indian mathematics, in that check contains both proofs of theorems and derivations of rules. He also studied various topics found in many previous Indian works, as well as integer solutions of systems of first position equations solved using kuttaka.