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Birkhäuser

Ancient Indian Leaps into Mathematics

  • Book
  • © 2011

Overview

Editors:
  1. B.S. Yadav

    1. Department of Mathematics, University of Delhi, New Delhi, India

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    You can also search for this editor in PubMed   Google Scholar

  2. Man Mohan

    1. , Ramjas College, University of Delhi, New Delhi, India

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    You can also search for this editor in PubMed   Google Scholar

  • Follows the movement of mathematical ideas that were spread from India, China, the Islamic world, and Western Europe
  • Discusses concepts and ideas developed in different regions in India, China, and Greece
  • Includes methods and a computer program to help the reader fully understand the ideas presented for the chapter on calendrical calculations
  • Includes supplementary material: sn.pub/extras

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Indian Calendrical Calculations

    • Nachum Dershowitz, Edward M. Reingold
    Pages 1-31

  3. India’s Contributions to Chinese Mathematics Through the Eighth Century C.E.

    • R. C. Gupta
    Pages 33-44

  4. The Influence of Indian Trigonometry on Chinese Calendar-Calculations in the Tang Dynasty

    • Duan Yao-Yong, Li Wen-Lin
    Pages 45-54

  5. André Weil: His Book on Number Theory and Indian References

    • B. S. Yadav
    Pages 55-61

  6. On the Application of Areas in the Śulbasūtras

    • Toke Lindegaard Knudsen
    Pages 63-73

  7. Divisions of Time and Measuring Instruments of Varaḥmihira

    • G. S. Pandey
    Pages 75-110

  8. The Golden Mean and the Physics of Aesthetics

    • Subhash Kak
    Pages 111-119

  9. Piṅgala Binary Numbers

    • Shyam Lal Singh
    Pages 121-134

  10. The Reception of Ancient Indian Mathematics by Western Historians

    • Albrecht Heeffer
    Pages 135-152

  11. The Indian Mathematical Tradition with Special Reference to Kerala: Methodology and Motivation

    • V. Madhukar Mallayya
    Pages 153-170

  12. The Algorithm of Extraction in Greek and Sino-Indian Mathematical Traditions

    • Duan Yao-Yong, Kostas Nikolantonakis
    Pages 171-184

  13. Brahmagupta: The Ancient Indian Mathematician

    • R. K. Bhattacharyya
    Pages 185-192

  14. Mainland Southeast Asia as a Crossroads of Chinese Astronomy and Indian Astronomy

    • Yukio Ôhashi
    Pages 193-200

  15. Mathematical Literature in the Regional Languages of India

    • Sreeramula Rajeswara Sarma
    Pages 201-211

  16. Back Matter

    Pages 213-217
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, University of Delhi, New Delhi, India

    B.S. Yadav

  • , Ramjas College, University of Delhi, New Delhi, India

    Man Mohan

Bibliographic Information

  • Book Title: Ancient Indian Leaps into Mathematics

  • Editors: B.S. Yadav, Man Mohan

  • DOI: https://doi.org/10.1007/978-0-8176-4695-0

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2011

  • Hardcover ISBN: 978-0-8176-4694-3Published: 28 October 2010

  • eBook ISBN: 978-0-8176-4695-0Published: 20 January 2011

  • Edition Number: 1

  • Number of Pages: XX, 218

  • Number of Illustrations: 30 b/w illustrations

  • Topics: History of Mathematical Sciences, Non-Western Philosophy

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