A History of Analysis

ISBN 13: 9780821826232

A History of Analysis

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9780821826232: A History of Analysis

Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.

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Editor-Hans Niels Jahnke
Editore: American Mathematical Society (2003)
ISBN 10: 0821826239 ISBN 13: 9780821826232
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Descrizione libro American Mathematical Society, 2003. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking.Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds.The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis.Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century.The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.Co-published with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners. Codice libro della libreria 1007150015

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Hans Niels Jahnke; Editor-Hans Niels Jahnke
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Descrizione libro American Mathematical Society, 2003. Hardcover. Condizione libro: New. Codice libro della libreria SONG0821826239

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Descrizione libro American Mathematical Society, 2003. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821826239

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Hans Niels Jahnke, Hans Niels Jahnke (Editor)
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Descrizione libro American Mathematical Society, 2003. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0821826239

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Descrizione libro Amer Mathematical Society, 2003. Hardcover. Condizione libro: Brand New. illustrated edition. 432 pages. 9.75x7.00x1.00 inches. In Stock. Codice libro della libreria 0821826239

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