EAN: 9789811317736

THE MATHEMATICS OF INDIA - P P DIVAKARAN GEBUNDEN

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.

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