000			02042nam a22002177a 4500
003			OSt
005			20240902161007.0
008			190117b ||||| |||| 00| 0 eng d
020			_a9789386279699
040			_cTata Book House _aICTS-TIFR
050			_aQA 27. I4
100			_aDivakaran, P. P.
245			_aThe Mathematics of India _b: Concepts, Methods, Connections
260			_aNew Delhi: _bHindustan Book Agency, _c[c2018]
300			_a441 p
490			_aCulture and history of mathematics _v10
505			_aI 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
520			_aThis 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.
856			_uhttps://link.springer.com/book/10.1007/978-981-13-1774-3
942			_2lcc _cBK
999			_c2139 _d2139