The Mathematics of India : Concepts, Methods, Connections

By: Divakaran, P. PMaterial type: TextTextSeries: Culture and history of mathematics ; 10Publication details: New Delhi: Hindustan Book Agency, [c2018]Description: 441 pISBN: 9789386279699LOC classification: QA 27. I4Online resources: Click here to access online
Contents:
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
Summary: 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.
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematics Rack No 3 QA 27.I4 (Browse shelf (Opens below)) Available 02766
Book Book ICTS
Mathematic Rack No 3 QA 27.I4 (Browse shelf (Opens below)) Available Invoice no. IN00 6041 ; Date 07-01-2019 01485
Total holds: 0

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

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.

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