000			02093nam a22002057a 4500
005			20230314095815.0
008			230311b ||||| |||| 00| 0 eng d
020			_a9789811317736
040			_cAL
041			_aeng
082			_223 _a510.54 _bDIVM
100			_aDivakaran P P _975053
245			_aMathematics of India _b: Concepts methods connections
260			_aNew Delhi _bSpringer _c3-03-2023
300			_axi,441p. _bHB _c23.5x15.5cm.
365			_2General _a8197 _b₹1556.00 _c₹ _d₹1995.00 _e22% _f3-03-2023
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. Recent 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.
650			_aMathematics _975054
942			_2ddc _cBK
999			_c227002 _d227002