Skip to main content
Elsevier

Mathematical Achievements of Pre-modern Indian Mathematicians

  • 1st Edition - August 16, 2012
  • Latest edition
  • Author: T.K Puttaswamy
  • Language: English

Mathematics in India has a long and impressive history. Presented in chronological order, this book discusses mathematical contributions of Pre-Modern Indian Mathematicians from th… Read more

Description

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.

Key features

  • Contains more than 160 original Sanskrit verses with English translations giving historical context to the contributions
  • Presents the various proofs step by step to help readers understand
  • Uses modern, current notations and symbols to develop the calculations and proofs

Readership

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

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

Review quotes

"...can surely be studied with profit by those interested in this field. Especially because so many nice examples are worked out, students of mathematics can learn some fascinating number theory, geometry, and analysis by studying this impressive work."—Mathematical Reviews, Mathematical Achievements of Pre-modern Indian Mathematicians

"…the book gives the reader an overall idea of the contributions of ancient authors to the development of Indian mathematics, which will be helpful for students and researchers working on specific authors and topics in Indian mathematics."—CMS Notes, March/April 2014"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

Product details

  • Edition: 1
  • Latest edition
  • Published: August 27, 2012
  • Language: English

About the author

TP

T.K Puttaswamy

Professor Emeritus, Department of Mathematical Sciences, Ball State University, Indiana, USA
Affiliations and expertise
Professor Emeritus, Department of Mathematical Sciences, Ball State University, Indiana, USA

View book on ScienceDirect

Read Mathematical Achievements of Pre-modern Indian Mathematicians on ScienceDirect