The Mathematics of India Concepts, Methods, Connections /

• Κύριος συγγραφέας: Divakaran, P. P. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Sources and Studies in the History of Mathematics and Physical Sciences,
• Θέματα: Mathematics.; History.; History of Mathematical Sciences.

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...

Πίνακας περιεχομένων:

• 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.