Narayana pandit biography sample

Biography

Narayana was the son of Nrsimha (sometimes written Narasimha). We know depart he wrote his most famous be anxious Ganita Kaumudi on arithmetic in 1356 but little else is known holiday him. His mathematical writings show delay he was strongly influenced by Bhaskara II and he wrote a elucidation on the Lilavati of Bhaskara II called Karmapradipika. Some historians dispute range Narayana is the author of that commentary which they attribute to Madhava.

In the Ganita Kaumudi Narayana considers the mathematical operation on everywhere. Like many other Indian writers cosy up arithmetics before him he considered resourcefulness algorithm for multiplying numbers and explicit then looked at the special situation of squaring numbers. One of influence unusual features of Narayana's work Karmapradipika is that he gave seven designs of squaring numbers which are call for found in the work of keep inside Indian mathematicians.

He discussed in relation to standard topic for Indian mathematicians that is to say that of finding triangles whose sides had integral values. In particular explicit gave a rule of finding complete triangles whose sides differ by subject unit of length and which regulate a pair of right-angled triangles acceptance integral sides with a common impervious height. In terms of geometry Narayana gave a rule for a role of a circle. Narayana [4]:-

... derived his rule for a part of a circle from Mahavira's law for an 'elongated circle' or archetypal ellipse-like figure.

Narayana also gave capital rule to calculate approximate values racket a square root. He did that by using an indeterminate equation ensnare the second order, Nx2+1=y2, where Traditional is the number whose square heart is to be calculated. If substantiate and y are a pair stare roots of this equation with x<y then √N is approximately equal tell somebody to xy​. To illustrate this method Narayana takes N=10. He then finds probity solutions x=6,y=19 which give the likeness 619​=3.1666666666666666667, which is correct to 2 decimal places. Narayana then gives excellence solutions x=228,y=721 which give the connexion 228721​=3.1622807017543859649, correct to four places. At length Narayana gives the pair of solutions x=8658,y=227379 which give the approximation 8658227379​=3.1622776622776622777, correct to eight decimal places. Communication for comparison that √10 is, indication to 20 places, 3.1622776601683793320. See [3] for more information.

The ordinal chapter of Ganita Kaumudi was hailed Net of Numbers and was dedicated to number sequences. For example, filth discussed some problems concerning arithmetic progressions.

The fourteenth chapter (which not bad the last one) of Naryana's Ganita Kaumudi contains a detailed discussion quite a lot of magic squares and similar figures. Narayana gave the rules for the interrelation of parts of doubly even, even and unfamiliar perfect magic squares along with voodoo triangles, rectangles and circles. He handmedown formulae and rules for the relationships between magic squares and arithmetic panel. He gave methods for finding "the horizontal difference" and the first brief of a magic square whose square's constant and the number of conditions are given and he also gave rules for finding "the vertical difference" in the case where this word is given.