Item description for Mathematics of the 19th Century: Vol. III: Function Theory According to Chebyshev; Ordinary Differential Equations; Calculus of Variations; Theory of Finite Differences by A.N. Kolmogorov...
This book concludes the outstanding series of historical studies of the mathematics in the nineteenth century. Previous volumes have studied logic, algebra, number theory, probability, geometry, and analytic functions. The third volume encompasses: an essay on the development of Chebyshev's theory of approximation of functions, later called "Constructive function theory", a systematic analysis of the history of the theory of ordinary differential equations from Chauchy and certain of his predecessors up to Poincar and A.M. Lyapunov, an essay of the development of the calculus of variations, and a study of the history of finite differences, in whose development Soviet mathematicians have played a prominent role. This book will be a valuable source of understanding the development of these areas. It provides the general reader, as well as historians of science, not only with the descriptive history but also with a good understanding of the outer and inner motivations and the results and effects of the presented concepts and methods.
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Est. Packaging Dimensions: Length: 9.45" Width: 6.79" Height: 0.98" Weight: 2.01 lbs.
Release Date May 4, 1998
Publisher Birkhäuser Basel
ISBN 3764358459 ISBN13 9783764358457
Availability 148 units. Availability accurate as of Mar 27, 2017 06:51.
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Reviews - What do customers think about Mathematics of the 19th Century: Vol. III: Function Theory According to Chebyshev; Ordinary Differential Equations; Calculus of Variations; Theory of Finite Differences?
Long shadow. Dec 7, 2002
(It is now in paperback!) I like this book because it highlights how several of the central questions and ideas in mathematics from the 19th century still cast a long shadow into the present. It is as true for the pioneering work of Abel and Galois, from the early part of the period which is covered, as it is for the discoveries of Chebychev, Markov, and Kolmogorov toward the end. The period starts roughly at the time of the Napoleon wars, and extends up to the Second World War. The articles in this well written book go into mathematical detail (for example, Kummer's theory and work on Fermat's Last Theorem, Dedekin's ideal theory, and cuts,...)and they represent a well chosen treat of papers, written by major players.
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