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Contributions to the History of Indian Mathematics

  • Book
  • © 2005

Overview

Editors:
  1. Gérard G. Emch
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  2. R. Sridharan
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  3. M. D. Srinivas
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Part of the book series: Culture And History Of Mathematics (CHMATH, volume 3)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introductory Overview

    1. Front Matter

      Pages xi-xi
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    2. Mathematics in Ancient and Medieval India

      • R. Sridharan
      Pages 1-29

  4. Classical and Medieval Period

    1. Front Matter

      Pages 75-75
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    2. Brahmagupta’s Bhāvanā: Some Reflections

      • Amartya Kumar Dutta
      Pages 77-114

    3. The Karaṅī: How to Use Integers to Make Accurate Calculations on Square Roots

      • François Patte
      Pages 115-134

    4. Relations between Approximations to the Sine in Kerala Mathematics

      • Kim Plofker
      Pages 135-152

    5. Algorithms in Indian Mathematics

      • M. S. Sriram
      Pages 153-182

    6. Algorithms in Indian Astronomy

      • K. Ramasubramanian
      Pages 183-208

    7. Proofs in Indian Mathematics

      • M. D. Srinivas
      Pages 209-248

  5. Modern Period

    1. Front Matter

      Pages 249-249
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    2. Ramanujan and Partial Fractions

      • George E. Andrews
      Pages 251-260

    3. Contributions of Indian Mathematicians to Quantum Statistics

      • Gérard G. Emch
      Pages 261-288
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About this book

This volume consists of a collection of articles based on lectures given by scholars from India, Europe and USA at the sessions on 'History of Indian Mathematics' at the AMS-India mathematics conference in Bangalore during December 2003. These articles cover a wide spectrum of themes in Indian mathematics. They begin with the mathematics of the ancient period dealing with Vedic Prosody and Buddhist Logic, move on to the work of Brahmagupta, of Bhaskara, and that of the mathematicians of the Kerala school of the classical and medieval period, and end with the work of Ramanaujan, and Indian contributions to Quantum Statistics during the modern era. The volume should be of value to those interested in the history of mathematics.

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