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Birth, growth and computation of pi to ten trillion digits (2013)

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Abstract

Paper 22: Ravi Agarwal, Hans Agarwal and Syamal K. Sen, “Birth, growth and computation of pi to ten trillion digits,” Advances in Di erence Equations, 2013:100, p. 1–59.

Synopsis: This paper presents one of the most complete and up-to-date chronologies of the analysis and computation of π through the ages, from approximations used by Indian and Babylonian mathematicians, well before the time of Christ, to Archimedes of Syracuse, “who ranks with Newton and Gauss as one of the three greatest mathematicians who ever lived,” to mathematicians in the Islamic world during the “dark ages,” and on to mathematicians in Renaissance Europe, including Francois Viete, Ludolph van Ceulen, John Wallis, Isaac Newton, John Machin, Leonard Euler, William Shanks and many others.

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  1. Indian Institute of Technology, Madras, India

    Ravi Agarwal

  2. Lehigh University, Bethlehem, Pennsylvania, USA

    Hans Agarwal

  3. Lakshmikantham Institute for Advanced Studies, Visakhapatnam, India

    Syamal Sen

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Agarwal, R., Agarwal, H., Sen, S. (2016). Birth, growth and computation of pi to ten trillion digits (2013). In: Pi: The Next Generation. Springer, Cham. https://doi.org/10.1007/978-3-319-32377-0_22

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