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The mathematics of Indiaconcepts, me...

Divakaran, P. P.

The mathematics of Indiaconcepts, methods, connections /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The mathematics of Indiaby P. P. Divakaran.
其他題名:	concepts, methods, connections /
作者:	Divakaran, P. P.
出版者:	Singapore :Springer Singapore :2018.
面頁冊數:	xi, 441 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	MathematicsHistory.India
電子資源:	http://dx.doi.org/10.1007/978-981-13-1774-3
ISBN:	9789811317743$q(electronic bk.)

The mathematics of Indiaconcepts, methods, connections /
Divakaran, P. P.

The mathematics of Indiaconcepts, methods, connections /[electronic resource] :by P. P. Divakaran. - Singapore :Springer Singapore :2018. - xi, 441 p. :ill., digital ;24 cm. - Sources and studies in the history of mathematics and physical sciences,2196-8810. - Sources and studies in the history of mathematics and physical sciences..

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.

ISBN: 9789811317743$q(electronic bk.)

Standard No.: 10.1007/978-981-13-1774-3doiSubjects--Topical Terms:

823434
Mathematics
--History.--India

LC Class. No.: QA27.I4 / D583 2018

Dewey Class. No.: 510.954

The mathematics of Indiaconcepts, methods, connections /
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