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9783540345633

Ordinary Differential Equations
Ordinary Differential Equations
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  • Comments: 2006. 3rd Edition. Paperback. Emphasises on the qualitative and geometric properties of Ordinary Differential Equations (ODEs) and their solutions. This book includes material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation. Translator(s): Cooke, R. Series: Universitext. Num Pages: 338 pages, 272 black & white illustrations, biography. BIC Classification: PBKJ. Category: (UU) Undergraduate. Dimension: 233 x 155 x 20. Weigh

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  • Comments: ALTERNATE EDITION: New. Soft Cover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!

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  • ISBN-13: 9783540345633
  • ISBN: 3540345639
  • Publisher: Springer

AUTHOR

SUMMARY

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.Arnold, Vladimir I. is the author of 'Ordinary Differential Equations' with ISBN 9783540345633 and ISBN 3540345639.

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