02090nam a22002057a 450000500170000000800410001702000180005804000070007604100080008308200210009110000250011224500550013726000350019230000310022736500630025852015090032165000230183094200120185399900190186520230311112857.0230311b           ||||| |||| 00| 0 eng d  a9789811932090  cAL  aeng  223a510.54bDIVM  aDivakaran P P975062  aMathematics of IndiabConcepts methods connections  aNew DelhibSpringerc3-03-2023  axi,441p.bHBc23.5x15.5cm.  2Generala8197b₹1556.00c₹d₹1995.00e22%f3-03-2023  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.  aMathematics975063  2ddccBK  c227004d227004