The Mathematics of India (Paperback)

Language: English

Published by Springer Verlag, Singapore, Singapore, 2018

981134681X / 9789811346811

Series: Book 51 of 59 - Sources and Studies in the History of Mathematics and Physical Sciences

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Paperback. 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 Aryabhatas 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. 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; Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Title
The Mathematics of India (Paperback)
Author
P.P. Divakaran
Publisher
Springer Verlag, Singapore, Singapore
Publication year
2018
Condition
new
Binding
Paperback
Language
English
ISBN 10
981134681X
ISBN 13
9789811346811
Series
Book 51 of 59: Sources and Studies in the History of Mathematics and Physical Sciences

AussieBookSeller

Truganina, VIC, Australia

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