Ancient Indian Leaps into Mathematics

Editors: Yadav, B.S., Mohan, Man (Eds.)

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  • Follows the movement of mathematical ideas that 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
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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.

Key topics include:

  • The work of two well-known Indian mathematicians: Brahmagupta and Bhaskaracharya;
  • The relationship of Indian mathematics to the mathematics of China and Greece;
  • The transmission of mathematical ideas between the Western and non-Western world;
  • A study of Keralese mathematics and coverage of the techniques used in the Śulbasūtras;
  • The calendrical calculations, complete with computer programs, enabling readers to determine Indian dates.

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.

Table of contents (14 chapters)

  • Indian Calendrical Calculations

    Dershowitz, Nachum (et al.)

    Pages 1-31

    Preview Buy Chapter 30,19 €
  • India’s Contributions to Chinese Mathematics Through the Eighth Century C.E.

    Gupta, R. C.

    Pages 33-44

    Preview Buy Chapter 30,19 €
  • The Influence of Indian Trigonometry on Chinese Calendar-Calculations in the Tang Dynasty

    Yao-Yong, Duan (et al.)

    Pages 45-54

    Preview Buy Chapter 30,19 €
  • André Weil: His Book on Number Theory and Indian References

    Yadav, B. S.

    Pages 55-61

    Preview Buy Chapter 30,19 €
  • On the Application of Areas in the Śulbasūtras

    Knudsen, Toke Lindegaard

    Pages 63-73

    Preview Buy Chapter 30,19 €

Buy this book

eBook 86,99 €
price for Spain (gross)
  • ISBN 978-0-8176-4695-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 109,19 €
price for Spain (gross)
  • ISBN 978-0-8176-4694-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Ancient Indian Leaps into Mathematics
Editors
  • B.S. Yadav
  • Man Mohan
Copyright
2011
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-4695-0
DOI
10.1007/978-0-8176-4695-0
Hardcover ISBN
978-0-8176-4694-3
Edition Number
1
Number of Pages
XX, 218
Number of Illustrations
30 b/w illustrations
Topics