TY  - BOOK
AU  - Divakaran, P. P.
TI  - The Mathematics of India: : Concepts, Methods, Connections
T2  - Culture and history of mathematics
SN  - 9789386279699
AV  - QA 27. I4 
PY  - 2018///]
CY  - New Delhi
PB  - Hindustan Book Agency
N1  - I Beginnings
1. Background: Culture and Language
2. Vedic Geometry
3. Antecedents? Mathematics in the Indus Valley
4. Decimal Numbers

II The Aryabhatan Revolution
5. From 500 BCE to 500 CE
6. The Mathematics of the Ganitapāda
7. From Brahmagupta to Bhaskara II to Narayana

III Madhava and the Invention of Calculus
8. The Nila Phenomenon
9. Nila Mathematics – General Survey
10. The π Series
11. The Sine and Cosine Series
12. The π Series Revisited: Algebra in Analysis

IV Connections
13. What is Indian about the Mathematics of India?
14. What is Indian . . .? The Question of Proofs
15. Upasamhāra
N2  - 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 inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts
UR  - https://link.springer.com/book/10.1007/978-981-13-1774-3
ER  -