Ordinary differential equations

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There are dozens of books on ODEs, but none with the elegant geometric insight of Arnolds book. Arnold puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, ra...
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There are dozens of books on ODEs, but none with the elegant geometric insight of Arnolds book. Arnold 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 Arnold 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, Arnold 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 Arnolds guiding geometric and qualitative principles, there are 272 figures in the book, but not a single complicated formula.
Uitgever Springer Verlag
Druk 2
ISBN/EAN 9783540345633
Auteur Arnold, V.
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