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Contributions to the History of Indian Mathematics
Edited by: G. G. Emch, University of Florida, Gainesville, FL, R. Sridharan, Chennai Mathematical Institute, India, and M. D. Srinivas, Centre for Policy Studies, Chennai, India
A publication of Hindustan Book Agency.
Hindustan Book Agency
2005; 300 pp; hardcover
ISBN-10: 81-85931-58-5
ISBN-13: 978-81-85931-58-6
List Price: US$56
Member Price: US$44.80
Order Code: HIN/27
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This volume resulted from the first Joint India-AMS meeting in Mathematics held in Bangalore. One of its themes was the "History of Indian Mathematics". The refereed articles in the book were written by invited speakers and cover a wide spectrum of topics, ranging from Vedic Prosody and ancient Buddhist logic to the contributions of Srinivasa Ramanujan and Indian contributions to quantum statistics.

The first section, which deals with the ancient period, has two articles, one on Vedic Prosody and the work of Pingala and the other on Buddhist Logic.

The next section which discusses the mathematics of the classical and medieval periods begins with two articles, one on the work of Brahmagupta on Bhavana and its applications, another on the contributions of Bhaskara II to the mathematics of Karani or surds. The next article is on the use of power series techniques by the medieval Kerala School of Mathematics. The next two articles focus on the nature of algorithms in Indian Mathematics and Astronomy. The final article of this section is on the notion of proofs in Indian Mathematics and the tradition of Upapattis in Mathematics and Astronomy of India.

The third section is devoted to the modern period. The first article points to some surprising contributions of Srinivasa Ramanujan on partial fractions while the second surveys the history of some of the contributions of Indian mathematicians to Quantum Statistics.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Graduate students and research mathematicians.

Table of Contents

Introductory Overview
  • R. Sridharan -- Mathematics in ancient and medieval India
Ancient Period
  • R. Sridharan -- Sanskrit prosody, pingala sutras and binary arithmetic
  • F. E. J. Linton -- Shedding some localic and linguistic light on the tetralemma conundrums
Classical and Medieval Period
  • A. K. Dattta -- Brahmagupta's bhavana: Some reflections
  • F. Patte -- The Karani: How to use integers to make accurate calculations on square roots
  • K. Plofker -- Relations between approximations to the sine in kerala mathematics
  • M. S. Sriram -- Algorithms in Indian mathematics
  • K. Ramasubramanian -- Algorithms in Indian astronomy
  • M. D. Srinivas -- Proofs in Indian mathematics
Modern Period
  • G. E. Andrews -- Ramanujan and partial fractions
  • G. G. Emch -- Contributions of Indian mathematicians to quantum statistics
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