# Studies in the History of Indian Mathematics

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*C. S. Seshadri*

A publication of Hindustan Book Agency

This volume is the outcome of a seminar on the history of
mathematics held at the Chennai Mathematical Institute during
January–February 2008 and contains articles based on the talks of
distinguished scholars both from the West and from India.

The topics covered include: (1) geometry in the
øulvasåtras; (2) the origins of zero (which can be traced
to ideas of lopa in Pàõini's grammar); (3)
combinatorial methods in Indian music (which were developed in the
context of prosody and subsequently applied to the study of tonal and
rhythmic patterns in music); (4) a cross-cultural view of the
development of negative numbers (from Brahmagupta (c. 628 CE) to John
Wallis (1685 CE); (5) Kuññaka, Bhàvanà and
Cakravàla (the techniques developed by Indian mathematicians
for the solution of indeterminate equations); (6) the development of
calculus in India (covering the millennium-long history of discoveries
culminating in the work of the Kerala school giving a complete
analysis of the basic calculus of polynomial and trigonometrical
functions); (7) recursive methods in Indian mathematics (going back to
Pàõini's grammar and culminating in the recursive proofs
found in the Malayalam text Yuktibhàùà
(1530 CE)); and (8) planetary and lunar models developed by the Kerala
School of Astronomy. The articles in this volume cover a substantial
portion of the history of Indian mathematics and astronomy.

This book will serve the dual purpose of bringing to the
international community a better perspective of the mathematical
heritage of India and conveying the message that much work remains to
be done, namely the study of many unexplored manuscripts still
available in libraries in India and abroad.

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

#### Readership

General mathematical audience interested in the history of Indian mathematics.