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| 010 | _a 2019751797 | ||
| 020 | _a9789386279699 | ||
| 024 | 7 |
_a10.1007/978-981-13-1774-3 _2doi |
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| 035 | _a(DE-He213)978-981-13-1774-3 | ||
| 040 |
_aDLC _beng _epn _erda _cDLC _dIIITD |
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_aMAT015000 _2bisacsh |
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_aPBX _2thema |
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| 082 | 0 | 4 |
_a510.9 _223 _bDIV-M |
| 100 | 1 | _aDivakaran, P. P. | |
| 245 | 1 | 4 |
_aThe mathematics of India : _bconcepts, methods, connections _cby P. P. Divakaran |
| 260 |
_aNew Delhi : _bHindustan Book Agency, _c©2018 |
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| 300 |
_axi, 441 p. : _bill. ; _c25 cm. |
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| 490 | 1 |
_aCulture and History of Mathematics ; _x10. |
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| 505 | 0 |
_a -- Chapter _tI Beginnings _t1. Background: Culture and Language _t2. Vedic Geometry _t3. Antecedents? Mathematics in the Indus Valley _t4. Decimal Numbers _t5. Numbers in the Vedic Literature _tII The Aryabhatan Revolution _t6. From 500 BCE to 500 CE _t7. The Mathematics of the Ganitapada _t8. From Brahmagupta to Bhaskara II to Narayana _tIII Madhava and the Invention of Calculus _t9. The Nila Phenomenon _t10. Nila Mathematics - General Survey _t11. The pi - series _t12. The Sine and Cosine Series _t13. The pi-Series Revisited: Algebra in Analysis _tIV Connections _t14. What is Indian about the Mathematics of India? _t15. What is Indian ...? The Question of Proofs _t16. Upasamhara |
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| 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 | 0 | _aHistory | |
| 650 | 0 | _aMathematics | |
| 650 | 1 | 4 | _aHistory of Mathematical Sciences |
| 650 | 1 | 4 | _aIndia |
| 650 | 1 | 4 | _aMathematicians |
| 650 | 1 | 4 | _aMathematics--Study and teaching |
| 650 | 1 | 4 | _aTrigonometry |
| 650 | 1 | 4 | _aCalculus |
| 776 | 0 | 8 |
_iPrint version: _tThe mathematics of India : concepts, methods, connections _z9789811317736 _w(DLC) 2018949905 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789811317736 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789811317750 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789811346811 |
| 830 | 0 | _aSources and Studies in the History of Mathematics and Physical Sciences | |
| 856 | _uhttps://www.google.co.in/books/edition/The_Mathematics_of_India/3XdvDwAAQBAJ?hl=en&gbpv=1&dq=9789386279699&printsec=frontcover | ||
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