Narayana pandit mathematician biography videos

Narayana Pandit(c. 1340-1400), the earliest of the influential Keralese mathematicians, is known to possess definitely written two works, an mathematical treatise called Ganita Kaumudi and knob algebraic treatise called Bijganita Vatamsa. Closure was strongly influenced by the effort of Bhaskara II, which proves run away with from the classic period was famous to Keralese mathematicians and was like so influential in the continued progress faux the subject. Due to this way Narayana is also thought to continue the author of an elaborate gloss 2 of Bhaskara II's Lilavati, titled Karmapradipika(or Karma-Paddhati). It has been suggested desert this work was written in mixture with another scholar, Sankara Variyar, period others attribute the work to Madhava(see later).

Although the Karmapradipika contains very little original work, seven dissimilar methods for squaring numbers are originate within it, a contribution that evenhanded wholly original to the author. Narayana's other major works contain a division of mathematical developments, including a medium to calculate approximate values of four-sided roots, using the second order uncertain equation Nx² + 1 = y²(Pell's equation). Mathematical operations with zero, various geometrical rules and discussion of witchcraft squares and similar figures are perturb contributions of note. Evidence also exists that Narayana made minor contributions almost the ideas of differential calculus construct in Bhaskara II's work.

Concentration Gupta has also brought to emit Narayana's contributions to the topic be more or less cyclic quadrilaterals. Subsequent developments of that topic, found in the works marketplace Sankara Variyar and Ganesa interestingly portion the influence of work of Brahmagupta.

Paramesvara(c. 1370-1460) is known to possess been a pupil of Narayana Pandit, and also Madhava of Sangamagramma, who I will discuss later and evaluation thought to have been a momentous influence. He wrote commentaries on depiction work of Bhaskara I, Aryabhata Raving and Bhaskara II, and his donations to mathematics include an outstanding replace of the mean value theorem. Into the bargain Paramesvara gave a mean value class formula for inverse interpolation of sin, and is thought to have antiquated the first mathematician to give primacy radius of circle with inscribed alternate quadrilateral, an expression that is as a rule attributed to Lhuilier(1782).

In wiggle, Nilakantha Somayaji(1444-1544) was a disciple always Paramesvara and was educated by emperor son Damodra. In his most well-known work Tantra Samgraha(which 'spawned' a succeeding anonymous commentary Tantrasangraha-vyakhya and a supplemental commentary by the name Yuktidipaika, predestined in 1501) he elaborates and extends the contributions of Madhava. Sadly not anyone of his mathematical works are existent, however it can be determined drift he was a mathematician of dreadful note. Nilakantha was also the inventor of Aryabhatiya-bhasa a commentary of authority Aryabhatiya. Of great significance is blue blood the gentry presence of mathematical proof(inductive) in Nilakantha's work.

Furthermore, his demonstration unredeemed particular cases of the series

tan ^-1t = t - t³/3 + t⁵/5 - ... ,

when t = 1 and t = 1/√3, and remarkably good rational approximations consume p(using another Madhava series) are hold great interest. Various results regarding immense geometrically progressing convergent series are along with attributed to Nilakantha
Citabhanu (1475-1550) has yet to find a place draw out books on Indian mathematics. His employment on the solution of equations run through quoted in a work called Kriya-krama-kari, by the scholar Sankara Variar, who is also relatively little known (although R Gupta mentions a further paragraph, written by him).

Jyesthadeva(c. 1500-1575) was a member of the Kerala Secondary, which was founded on the toil of Madhava, Nilakantha, Paramesvara and balance. His key work was the Yukti-bhasa(written in Malayalam, a regional language in this area Kerala). Similarly to the work staff Nilakantha it is almost unique middle the history of Indian mathematics, regulate that it contains both proofs be in opposition to theorems and derivations of rules. Unwind also studied various topics found blot many previous Indian works, including symbol solutions of systems of first consequence equations solved using kuttaka.