Overview
- 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
Part of the book series: Sources and Studies in the History of Mathematics and Physical Sciences (SHMP)
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Table of contents (16 chapters)
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Front Matter
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The Aryabhatan Revolution
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Front Matter
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Madhava and the Invention of Calculus
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Front Matter
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Connections
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Front Matter
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Keywords
About this book
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.
Reviews
“This is a very well-written account of the mathematics of India. There is a strong need for further research to fill the gaps that exist in the history of mathematics of India, and I think the current book serves to inspire the younger generation to undertake such an effort.” (Gnana B. Tenali, Mathematical Reviews, March 2, 2020)
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: The Mathematics of India
Book Subtitle: Concepts, Methods, Connections
Authors: P. P. Divakaran
Series Title: Sources and Studies in the History of Mathematics and Physical Sciences
DOI: https://doi.org/10.1007/978-981-13-1774-3
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Hindustan Book Agency 2018
Hardcover ISBN: 978-981-13-1773-6Published: 08 October 2018
Softcover ISBN: 978-981-13-4681-1Published: 16 December 2018
eBook ISBN: 978-981-13-1774-3Published: 19 September 2018
Series ISSN: 2196-8810
Series E-ISSN: 2196-8829
Edition Number: 1
Number of Pages: XI, 441
Topics: History of Mathematical Sciences