International Journal of Engineering, Science and Mathematics
(IJMRA Publications)-
Peer Reviewed Refereed Journal
 

...

Pages: 26-33

Date of Publication: 30-Nov--0001

INDIAN METHODS OF FINDING THE APPROXIMATE VALUE OF __ampersandsignPi; AND THE DEVELOPMENT OF CALCULUS

Author: Prof. Sanjay M. Deshpande ? Dr. Anant W. Vyawahare ??

Category: Engineering, Science and Mathematics

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Abstract:

Many Indian mathematicians calculate the approximate value of __ampersandsignpi;. The value of __ampersandsignpi; stated by ?ryabhata – I was accepted by all the mathematicians which is (__ampersandsignpi; = 22/7). Indian mathematicians used different methods to find the values of __ampersandsignpi;. Madhava of Sangamgram of Kerala calculated the value of __ampersandsignpi; in terms of infinite series. This method of finding the value of __ampersandsignpi; 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 __ampersandsignpi; 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