The Mathematics of India Concepts, Methods, Connections /

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...

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Bibliographic Details
Main Author: Divakaran, P. P. (Author)
Format: Electronic eBook
Language:English
Published: Singapore : Springer Singapore , 2018.
Edition:1st ed. 2018.
Series:Sources and Studies in the History of Mathematics and Physical Sciences,
Subjects:
ISBN:9789811317743
ISSN:2196-8810
Online Access: Get full text
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Table of Contents:
  • Chapter 1. Background: Culture and Language
  • Chapter 2. Vedic Geometry
  • Chapter 3. Antecedents? Mathematics in the Indus Valley
  • Chapter 4. Decimal Numbers
  • Chapter 5. Numbers in the Vedic Literature
  • Chapter 6. From 500 BCE to 500 CE
  • Chapter 7. The Mathematics of the Ganitapada
  • Chapter 8. From Brahmagupta to Bhaskara II to Narayana
  • Chapter 9. The Nila Phenomenon
  • Chapter 10. Nila Mathematics (General Survey)
  • Chapter 11. The pi-series
  • Chapter 12. The Sine and Cosine Series
  • Chapter 13. The pi-Series Revisited: Algebra in Analysis
  • Chapter 14. What is Indian about the Mathematics of India?
  • Chapter 15. What is Indian . . .? The Question of Proofs
  • Chapter 16. Upasamhara.