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The Mathematics of India

Concepts, Methods, Connections

  • P. P. Divakaran
Book

Table of contents

  1. Front Matter
    Pages i-xxxiii
  2. Beginnings

    1. Front Matter
      Pages 23-23
    2. P. P. Divakaran
      Pages 25-42
    3. P. P. Divakaran
      Pages 43-71
    4. P. P. Divakaran
      Pages 73-91
    5. P. P. Divakaran
      Pages 93-112
    6. P. P. Divakaran
      Pages 113-140
  3. The Aryabhatan Revolution

    1. Front Matter
      Pages 141-141
    2. P. P. Divakaran
      Pages 143-173
    3. P. P. Divakaran
      Pages 175-212
    4. P. P. Divakaran
      Pages 213-254
  4. Madhava and the Invention of Calculus

    1. Front Matter
      Pages 255-255
    2. P. P. Divakaran
      Pages 257-290
    3. P. P. Divakaran
      Pages 291-311
    4. P. P. Divakaran
      Pages 313-329
    5. P. P. Divakaran
      Pages 331-357
    6. P. P. Divakaran
      Pages 359-378
  5. Connections

    1. Front Matter
      Pages 379-379
    2. P. P. Divakaran
      Pages 381-398
    3. P. P. Divakaran
      Pages 399-412
    4. P. P. Divakaran
      Pages 413-422
  6. Back Matter
    Pages 423-441

About this book

Introduction

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.

Keywords

Decimal Numbers Vedic Geometry Vedic Literature Nila Phenomenon pi- Series Mathematics of India

Authors and affiliations

  • P. P. Divakaran
    • 1
  1. 1.Chennai Mathematical InstituteKochiIndia

Bibliographic information

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