Divakaran p p (39 risultati)
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Hardcover. Condizione: New. 1st Edition. Contents: Preface. Introduction. I. Beginnings: 1. Background: Culture and Language. 2. Vedic Geometry. 3. Antecedents? Mathematics in the Indus Valley. 4. Decimal Numbers. 5. Numbers in the Vedic Literature. II. The Aryabhatan Revolution: 6. From 500 BCE to 500 CE. 7. The Mathematics of…the Ganitapada. 8. From Brahmagupta to Bhaskara II to Narayana. III. Madhava and the Invention of Calculus: 9. The Nila Phenomenon. 10. Nila Mathematics General Survey. 11. The π Series. 12. The Sine and Cosine Series. 13. The π Series Revisited: Algebra in Analysis. IV. Connections: 14. What is Indian about the Mathematics of India? 15. What is Indian . . .? The Question of Proofs. 16. Upasamhara. Bibliography. Index. In the millennia-long story of the mathematical tradition of India, certain exceptionally fruitful periods stand out. This book identifies three of them: 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. Its main concern 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 story, 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 account of these nascent insights. As part of an endeavour to promote the new awareness, 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.
Lingua: Inglese
Editore: Springer Verlag, Singapore, Singapore, 2018
Serie: Libro 51 di 59 - Sources and Studies in the History of Mathematics and Physical Sciences
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Paperback. Condizione: new. Paperback. This 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 classic…al period inaugurated by Aryabhatas 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. This 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; Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Lingua: Inglese
Editore: Springer Nature, 2018
Serie: Libro 51 di 59 - Sources and Studies in the History of Mathematics and Physical Sciences
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Paperback. Condizione: Brand New. reprint edition. 452 pages. 9.25x6.10x1.03 inches. In Stock.
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Serie: Libro 51 di 59 - Sources and Studies in the History of Mathematics and Physical Sciences
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This 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 o…f 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.
Lingua: Inglese
Editore: Springer, 2018
Serie: Libro 51 di 59 - Sources and Studies in the History of Mathematics and Physical Sciences
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Condizione: New. Softcover reprint of the original 1st ed. 2018 edition NO-PA16APR2015-KAP.
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Taschenbuch. Condizione: Neu. The Mathematics of India | Concepts, Methods, Connections | P. P. Divakaran | Taschenbuch | xi | Englisch | 2018 | Springer | EAN 9789811346811 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Lingua: Inglese
Editore: Springer Verlag, Singapore, Singapore, 2018
Serie: Libro 51 di 59 - Sources and Studies in the History of Mathematics and Physical Sciences
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Paperback. Condizione: new. Paperback. This 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 classic…al period inaugurated by Aryabhatas 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. This 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; Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Lingua: Inglese
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Serie: Libro 51 di 59 - Sources and Studies in the History of Mathematics and Physical Sciences
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This 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. 456 pp. Englisch.
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Highlights the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of IndiaDiscusses about the period of the construction of the now-universal system of decimal numeration and o…f a fr.
Lingua: Inglese
Editore: Springer, 2018
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