Ancient Indian Leaps into Mathematics

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B.S. Yadav, Man Mohan
Springer Science & Business Media, Jan 20, 2011 - Mathematics - 218 pages
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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. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.
 

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Contents

Indian Calendrical Calculations
1
Indias Contributions to Chinese Mathematics Through the Eighth Century CE
32
The Influence of Indian Trigonometry on Chinese CalendarCalculations in the Tang Dynasty
45
His Book on Number Theory and Indian References
55
On the Application of Areas in the Sulbasutras
63
Divisions of Time and Measuring Instruments of Varahmihira
74
The Golden Mean and the Physics of Aesthetics
111
Pingala Binary Numbers
121
The Reception of Ancient Indian Mathematics by Western Historians
135
Methodology and Motivation
153
The Algorithm of Extraction in Greek and SinoIndian Mathematical Traditions
171
The Ancient Indian Mathematician
185
Mainland Southeast Asia as a Crossroads of Chinese Astronomy and Indian Astronomy
193
Mathematical Literature in the Regional Languages of India
201
Index
212
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