{"product_id":"the-mathematics-of-india-concepts-methods-connections-9789811346811","title":"The Mathematics of India: Concepts, Methods, Connections","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis 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.\u003cp\u003eRecent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translations of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“This is a very well-written account of the mathematics of India. There is a strong need for further research to fill the gaps that exist in the history of mathematics of India, and I think the current book serves to inspire the younger generation to undertake such an effort.” (Gnana B. Tenali, Mathematical Reviews, March 2, 2020)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eChapter 1.\u003c\/b\u003e Background: Culture and Language.- \u003cb\u003eChapter 2.\u003c\/b\u003e Vedic Geometry.- \u003cb\u003eChapter 3.\u003c\/b\u003e Antecedents? Mathematics in the Indus Valley.- \u003cb\u003eChapter 4.\u003c\/b\u003e Decimal Numbers.- \u003cb\u003eChapter 5.\u003c\/b\u003e Numbers in the Vedic Literature.- \u003cb\u003eChapter 6. \u003c\/b\u003eFrom 500 BCE to 500 CE.- \u003cb\u003eChapter 7.\u003c\/b\u003e The Mathematics of the Ganitapada.- \u003cb\u003eChapter 8. \u003c\/b\u003eFrom Brahmagupta to Bhaskara II to Narayana.- \u003cb\u003eChapter 9. \u003c\/b\u003eThe Nila Phenomenon.-\u003cb\u003e Chapter 10. \u003c\/b\u003eNila Mathematics (General Survey).- \u003cb\u003eChapter 11. \u003c\/b\u003eThe pi-series.- \u003cb\u003eChapter 12. \u003c\/b\u003eThe Sine and Cosine Series.-\u003cb\u003e Chapter 13. \u003c\/b\u003eThe pi-Series Revisited: Algebra in Analysis.- \u003cb\u003eChapter 14.\u003c\/b\u003e What is Indian about the Mathematics of India?.- \u003cb\u003eChapter 15. \u003c\/b\u003eWhat is Indian . . .? The Question of Proofs.- \u003cb\u003eChapter 16. \u003c\/b\u003eUpasamhara.","brand":"Springer Verlag, Singapore","offers":[{"title":"Default Title","offer_id":53212827517271,"sku":"9789811346811","price":75.99,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/the-mathematics-of-india-concepts-methods-connections-9789811346811","provider":"Book Curl","version":"1.0","type":"link"}