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A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact

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This book traces the first faltering steps taken in the mathematical theorization of infinity which marks the emergence of modern mathematics. It analyzes the part played by Indian mathematics through the Kerala conduit, which is an important but neglected part of the history of mathematics.

Author(s): George Gheverghese Joseph
Year: 2009

Language: English
Pages: 236
Tags: Математика;История математики;

Cover......Page 1
Contents......Page 8
List of Tables and Figures......Page 9
Acknowledgements......Page 12
1 - Introduction......Page 14
2 - The Social Origins of the Kerala School......Page 23
3 - The Mathematical Origins of the Kerala School......Page 54
4 - The Highlights of Kerala Mathematics and Astronomy......Page 80
5 - Indian Trigonometry: From Ancient Beginnings to Nilakantha......Page 95
6 - Squaring the Circle: The Kerala Answer......Page 121
7 - Reaching for the Stars: The Power Series for Sines and Cosines......Page 155
8 - Changing Perspectives on Indian Mathematics......Page 169
9 - Exploring Transmissions: A Case Study of Kerala Mathematics......Page 191
10 - A Final Assessment......Page 211
Bibliography......Page 218
Index......Page 228
About the Author......Page 233