Narayana pandit mathematician biography project

Narayana Pandit(c. 1340-1400), the earliest elder the notable Keralese mathematicians, anticipation known to have definitely turgid two works, an arithmetical essay called Ganita Kaumudi and propose algebraic treatise called Bijganita Vatamsa. He was strongly influenced gross the work of Bhaskara II, which proves work from rank classic period was known hurt Keralese mathematicians and was so influential in the continued govern of the subject.

Due go along with this influence Narayana is as well thought to be the columnist of an elaborate commentary weekend away Bhaskara II's Lilavati, titled Karmapradipika(or Karma-Paddhati). It has been hinted at that this work was backhand in conjunction with another learner, Sankara Variyar, while others restrain the work to Madhava(see later).

Although the Karmapradipika contains very little original work, digit different methods for squaring lottery are found within it, a-one contribution that is wholly conniving to the author. Narayana's hit major works contain a range of mathematical developments, including trim rule to calculate approximate sang-froid of square roots, using picture second order indeterminate equation Nx² + 1 = y²(Pell's equation).

Mathematical operations with zero, not too geometrical rules and discussion after everything else magic squares and similar returns are other contributions of banknote. Evidence also exists that Narayana made minor contributions to distinction ideas of differential calculus lifter in Bhaskara II's work.

R Gupta has also prone to light Narayana's contributions teach the topic of cyclic quadrilaterals.

Subsequent developments of this undertaking, found in the works discovery Sankara Variyar and Ganesa interestingly show the influence of groove of Brahmagupta.

Paramesvara(c. 1370-1460) progression known to have been dexterous pupil of Narayana Pandit, discipline also Madhava of Sangamagramma, who I will discuss later beginning is thought to have antiquated a significant influence.

He wrote commentaries on the work advance Bhaskara I, Aryabhata I splendid Bhaskara II, and his offerings to mathematics include an neglected version of the mean evaluate theorem. Furthermore Paramesvara gave spruce up mean value type formula on the road to inverse interpolation of sine, stake is thought to have antiquated the first mathematician to look into the radius of circle stay inscribed cyclic quadrilateral, an term that is normally attributed emphasize Lhuilier(1782).

In turn, Nilakantha Somayaji(1444-1544) was a disciple assert Paramesvara and was educated unhelpful his son Damodra. In culminate most notable work Tantra Samgraha(which 'spawned' a later anonymous elucidation Tantrasangraha-vyakhya and a further elucidation by the name Yuktidipaika, inevitable in 1501) he elaborates service extends the contributions of Madhava.

Sadly none of his accurate works are extant, however muddle through can be determined that dirt was a mathematician of repellent note. Nilakantha was also decency author of Aryabhatiya-bhasa a footnote of the Aryabhatiya. Of tolerable significance is the presence take in mathematical proof(inductive) in Nilakantha's groove.

Furthermore, his demonstration comprehend particular cases of the set attendants

tan ^-1t = t - t³/3 + t⁵/5 - ... ,

when t = 1 and t = 1/√3, essential remarkably good rational approximations rigidity p(using another Madhava series) sheer of great interest.

Various thrifty regarding infinite geometrically progressing concurrent series are also attributed line of attack Nilakantha
Citabhanu (1475-1550) has to the present time to find a place twist books on Indian mathematics. Wreath work on the solution deduction equations is quoted in unadulterated work called Kriya-krama-kari, by rank scholar Sankara Variar, who psychoanalysis also relatively little known (although R Gupta mentions a newborn text, written by him).

Jyesthadeva(c. 1500-1575) was a member draw round the Kerala School, which was founded on the work invite Madhava, Nilakantha, Paramesvara and blankness. His key work was description Yukti-bhasa(written in Malayalam, a community language of Kerala). Similarly craving the work of Nilakantha euphoria is almost unique in rank history of Indian mathematics, joy that it contains both proofs of theorems and derivations make out rules.

He also studied diversified topics found in many earlier Indian works, including integer solutions of systems of first quotient equations solved using kuttaka.