Mathematical Achievements of Pre-modern Indian Mathematicians

By

  • T.K Puttaswamy, Professor Emeritus, Department of Mathematical Sciences, Ball State University, Indiana, USA

Mathematics in India has a long and impressive history. Presented in chronological order, this book discusses mathematical contributions of Pre-Modern Indian Mathematicians from the Vedic period (800 B.C.) to the 17th Century of the Christian era. These contributions range across the fields of Algebra, Geometry and Trigonometry. The book presents the discussions in a chronological order, covering all the contributions of one Pre-Modern Indian Mathematician to the next. It begins with an overview and summary of previous work done on this subject before exploring specific contributions in exemplary technical detail. This book provides a comprehensive examination of pre-Modern Indian mathematical contributions that will be valuable to mathematicians and mathematical historians.
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Audience

Students and scholars of mathematics and those interested in Indian and mathematical history

 

Book information

  • Published: August 2012
  • Imprint: ELSEVIER
  • ISBN: 978-0-12-397913-1

Reviews

"This substantial volume offers a wide selection of demonstrations and examples of the methods of pre-modern Indian mathematics, especially those dealing with indeterminate equations. Readers interested in the worldwide development of mathematics will find this book’s abundance of detailed source material, presented in modern notation, a welcome change from the scantiness of the chapters on India in most general histories of mathematics."--Mathematical Association of America online, November 5, 2013
"The book is unique in that its theme is mathematics and only mathematics…"--Zentralblatt MATH, 1263.01003




Table of Contents

  1. INTRODUCTION
  2. A GLANCE AT ANCIENT INDIA AND THE DECIMAL SYSTEM OF NUMERATION
  3. THE SULVA SUTRAS
  4. MATHEMATICS OF JAINS
  5. THE BAKSHALI MANUSCRIPT
  6. ARYABHATA I
  7. VARAHAMIHIRA AND BHASKARA I
  8. BRAHMAGUPTA
  9. SRIDHARA and PRTHUDAKASWAMI CATURVEDA
  10. MAHAVIRA
  11. ARYABHATA II and SRIPATI
  12. BHASKARA II
  13. NARAYANA PANDITA
  14. KERALA ASTRONOMERS
  15. 16TH AND 17TH CENTURY COMMENTATORS OF BHASKARA II
  16. BIBLIOGRAPHY