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Synopsis
For students with three semesters of calculus, this book is self-contained. In particular, Section 1.1 contains a complete treatment of the relevant types of ordinary differential equations. No previous course in ordinary differential equations or linear algebra is necessary.
There are approximately 280 examples worked out in detail, and 600 exercises ranging from routine to challenging. Answers to selected problems appear in the back of the book. Rigorous proofs, of nearly all results used, are given after ample physical motivation.
The book documents extensive applications, including: heat conduction, wave propagation, vibrations of strings, square drums, round drums, spheres and manifolds, traffic flow shocks, evolution of population densities, fluid flow, electrostatics, minimal surfaces, gravitation, and quantum mechanics (including the determination of the bound states of the hydrogen atom).
Convenient summaries appear at the end of each section. Theorems and definitions are clearly set off in boxes. The book contains 97 figures, illustrations and tables. (Graphs of mathematical functions of one or several variables were computer generated.)
"synopsis" may belong to another edition of this title.
- PublisherInternational Press
- Publication date1996
- ISBN 10 1571460365
- ISBN 13 9781571460363
- BindingHardcover
- LanguageEnglish
- Number of pages735
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Basic Partial Differential Equations
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International Press of Boston, 1997
ISBN 10: 1571460365
ISBN 13: 9781571460363
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Basic Partial Differential Equations
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ISBN 13: 9781571460363
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Basic Partial Differential Equations
Published by
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ISBN 10: 1571460365
ISBN 13: 9781571460363
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Basic Partial Differential Equations
Published by
International Press of Boston, 1997
ISBN 10: 1571460365
ISBN 13: 9781571460363
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Basic Partial Differential Equations
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Basic Partial Differential Equations
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ISBN 10: 1571460365
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Basic Partial Differential Equations
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ISBN 10: 1571460365
ISBN 13: 9781571460363
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Basic Partial Differential Equations
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Basic Partial Differential Equations
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ISBN 13: 9781571460363
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