INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 6, Issue 6, October 2017

Pages: 26-33
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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