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Mathematical Achievements of Pre-modern Indian Mathematicians

Autor T.K Puttaswamy
en Limba Engleză Paperback – 15 aug 2012
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 17thCentury 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
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Specificații

ISBN-13: 9780323282642
ISBN-10: 0323282644
Pagini: 768
Dimensiuni: 152 x 229 x 39 mm
Greutate: 1.01 kg
Editura: ELSEVIER SCIENCE

Public țintă

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

Cuprins

  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

Recenzii

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