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Sources and Studies in the History of Mathematics and Physical Sciences

The Mathematics of India

Concepts, Methods, Connections

Authors: Divakaran, P. P.

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  • Highlights the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India
  • Discusses about the period of the construction of the now-universal system of decimal numeration and of a framework for planar geometry
  • Reviews about about the classical period inaugurated by Aryabhata’s invention of trigonometry and the principles of discrete calculus 
  • Talks about the phase of Madhava, which produced a rigorous infinitesimal calculus of such functions
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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-981-13-1774-3
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Hardcover $109.99
price for USA in USD
  • ISBN 978-981-13-1773-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-981-13-4681-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts.

Recent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translations of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts.

About the authors

P.P. DIVAKARAN retired as professor from the Tata Institute of Fundamental Research, Mumbai in 1996. Subsequently, he has spent time at several institutions as adjunct or visiting professor. The present book grew out of research done at the Inter-University Centre for Astronomy and Astrophysics, Pune, as the holder of a Senior Award of the Homi Bhabha Fellowships Council.



Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-981-13-1774-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-981-13-1773-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-981-13-4681-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematics of India
Book Subtitle
Concepts, Methods, Connections
Authors
Series Title
Sources and Studies in the History of Mathematics and Physical Sciences
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Hindustan Book Agency
eBook ISBN
978-981-13-1774-3
DOI
10.1007/978-981-13-1774-3
Hardcover ISBN
978-981-13-1773-6
Softcover ISBN
978-981-13-4681-1
Series ISSN
2196-8810
Edition Number
1
Number of Pages
XI, 441
Topics