Solution of Diophantine equation-A technical analysis of contribution of Bhaskaracharya to Mathematics

Abstract

Bhaskaracharya has been called the greatest mathematician of medieval India. He was born in a village of the Mysore district in India and lived between 1114-1185. Bhaskarachaya significantly contributed to mathematical and astronomical knowledge in the 12th century. Bhaskaracharya was the first to discover gravity, 500 years before Sir Iassc Newton . He was the chamption among mathematicians of ancient and medieval India. Bhaskaracharya also gave the solutions of Diophantine equations of the second order , such as 61〖 x〗^2+1=〖y 〗^2. This equation was posed as a problem in 1657 by French Mathematician “Pierre de Fermot”, but its solution was unknown in Europe until the time of Euler in the 18th century. A Diophantine equation is an equation in which only integer solutions are allowed . The present technical review is based on the contributed of Bhaskaracharya to Mathematics on same fact.