INDIAN METHODS OF FINDING THE APPROXIMATE VALUE OF Π AND THE DEVELOPMENT OF CALCULUS
Author: Prof. Sanjay M. Deshpande ? Dr. Anant W. Vyawahare ??
Category: Engineering, Science and Mathematics
Abstract:
Many Indian mathematicians calculate the approximate value of π. The value of π stated by ?ryabhata – I was accepted by all the mathematicians which is (π = 22/7). Indian mathematicians used different methods to find the values of π. Madhava of Sangamgram of Kerala calculated the value of π in terms of infinite series. This method of finding the value of π is the beginning of idea of calculus in India. These methods are found in the text Yuktibhasha of Jyesthadeva (1500-1610 ad.),Tantrasangraha of Nilakantha (1443-1560 ad.),Kriyakramakari of Sankara Variyar (1500-1560 ad.). We have discussed here three methods of finding the value of π and also calculus involved in it. These three methods cover the idea of infinitesimal calculus. These methods are as follows.
Keywords: Yukti-bh???; Kriy?-kramakar?; Infinite series for ?; Regular polygon; Properties of similar triangles