Ancient Indian Leaps into Mathematics

This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics.Ancient Indian Leaps into Mathematics examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe. Through a systematic approach, it gives an historical account of ancient Indian mathematical traditions and their influence on other parts of the world.

Foreword	p. XI
Preface	p. XV
List of Contributors	p. XIX
Indian Calendrical Calculations	p. 1
India's Contributions to Chinese Mathematics Through the Eighth Century C.E.	p. 33
The Influence of Indian Trigonometry on Chinese Calendar-Calculations in the Tang Dynasty	p. 45
André Weil: His Book on Number Theory and Indian References	p. 55
On the Application of Areas in the Sulbasutras	p. 63
Divisions of Time and Measuring Instruments of Varahmihira	p. 75
The Golden Mean and the Physics of Aesthetics	p. 111
Pingala Binary Numbers	p. 121
The Reception of Ancient Indian Mathematics by Western Historians	p. 135
The Indian Mathematical Tradition with Special Reference to Kerala: Methodology and Motivation	p. 153
The Algorithm of Extraction in Greek and Sino-Indian Mathematical Traditions	p. 171
Brahmagupta: The Ancient Indian Mathematician	p. 185
Mainland Southeast Asia as a Crossroads of Chinese Astronomy and Indian Astronomy	p. 193
Mathematical Literature in the Regional Languages of India	p. 201
Index	p. 213
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Ancient Indian Leaps into Mathematics

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