Ordinary Differential Equations by Vladimir I. Arnold
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Ordinary Differential Equations
By Vladimir I. Arnold

Ordinary Differential Equations

1st ed 1992. 2nd printing 2006

By (author) See other recent books by Vladimir I. Arnold
Translated by R. Cooke See other recent books by R. Cooke
Format: Paperback

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Ordinary Differential Equations by Vladimir I. Arnold

Book Description

There are dozens of books on ODEs, but none with the elegant geometric insight of Arnol'd's book. Arnol'd puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on theroutine presentation of algorithms for solving special classes of equations.Of course, the reader learns how to solve equations, but with much more understanding of the systems, the solutions and the techniques. Vector fields and one-parameter groups of transformations come right from the startand Arnol'd uses this "language" throughout the book. This fundamental difference from the standard presentation allows him to explain some of the real mathematics of ODEs in a very understandable way and without hidingthe substance. The text is also rich with examples and connections with mechanics. Where possible, Arnol'd proceeds by physical reasoning, using it as a convenient shorthand for much longer formal mathematical reasoning. This technique helps the student get a feel for the subject. Following Arnol'd's guiding geometric and qualitative principles, there are 272 figures in the book, but not a single complicated formula. Also, the text is peppered with historicalremarks, which put the material in context, showing how the ideas have developped since Newton and Leibniz. This book is an excellent text for a course whose goal is a mathematical treatment of differential equations and the related physical systems.

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Book Details

ISBN: 9783540345633
ISBN-10: 3540345639
Format: Paperback
(156mm x 234mm x 18mm)
Pages: 342
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publish Date: 19-Jun-2006
Country of Publication: Germany

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