International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 6

Indian Methods of finding the approximate value of π and the development of calculus

  • Author:
  • Sanjay M. Deshpande1, Anant W. Vyawahare2
  • Total Page Count: 8
  • Page Number: 26 to 33

1Associate professor, Bhawabhuti Mahavidyala, Amgaon, Dist Gondia, Maharashtra, India

2Retired Professor, M. Mohata science college, Nagpur, Maharashtra, India

Author correspondence: Prof. Sanjay M. Deshpande, Associate Professor, Bhawabhuti Mahavidyalaya, At. Po. Amgaon, Dist. Gondia, Maharashtra, India, Pin 441 902

Abstract

Many Indian mathematicians calculate the approximate value of π. The value of π stated by Aryabhata – 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-bhasa Kriya-kramakari Infinite series for π Regular polygon, Properties of similar triangles