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BL
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| Record Number
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888145
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| Main Entry
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Divakaran, P. P.
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| Title & Author
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The mathematics of India : : concepts, methods, connections /\ P.P. Divakaran.
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| Publication Statement
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Singapore :: Springer ;New Dehli :: Hindustan Book Agency,, [2018].
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, ©2018
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| Series Statement
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Sources and studies in the history of mathematics and physical sciences
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| Page. NO
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xi, 441 pages :: illustrations ;; 25 cm.
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| ISBN
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9789811317736
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: 9811317739
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9789386279651
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9789811317743
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9811317747
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| Bibliographies/Indexes
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Includes bibliographical references (pages 423-426) and index.
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| Abstract
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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 highlights 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 translation 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.
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| Subject
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Calculus-- India-- History.
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Mathematicians-- India-- History.
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Mathematics-- History.
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| Subject
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Mathematics-- Study and teaching.
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Mathematics-- India-- History.
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Trigonometry-- India-- History.
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| Subject
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Calculus.
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Mathematicians.
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Mathematics-- Study and teaching.
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| Subject
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Mathematics.
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| Subject
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Trigonometry.
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| Subject
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India.
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| LC Classification
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QA27.I4D58 2018
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