Mathematical Achievements of Pre-modern Indian Mathematicians

ISBN-13: 9780323282642 / Angielski / Miękka / 2012 / 768 str.

Department of Mathematic T.K Puttaswamy (Professor Emeritus

Opis

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 17^th 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.

• 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

Recenzje

"The book is unique in that its theme is mathematics and only mathematics."--Zentralblatt MATH, 1263.01003

Spis treści

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