Partial Differential Equations

ISBN-10: 0387974725
ISBN-13: 9780387974729
Edition: 1991
List price: $79.95 Buy it from $20.46
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Description: The objective of this book is to present an introduction to the ideas, phenomena, and methods of partial differential equations. This material can be presented in one semester and requires no previous knowledge of differential equations, but assumes  More...

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Book details

List price: $79.95
Copyright year: 1991
Publisher: Springer
Publication date: 1/9/1997
Binding: Hardcover
Pages: 266
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.188
Language: English

The objective of this book is to present an introduction to the ideas, phenomena, and methods of partial differential equations. This material can be presented in one semester and requires no previous knowledge of differential equations, but assumes the reader to be familiar with advanced calculus, real analysis, the rudiments of complex analysis, and thelanguage of functional analysis. Topics discussed in the text include elliptic, hyperbolic, and parabolic equations, the energy method, maximum principle, and the Fourier Transform. The text features many historical and scientific motivations and applications. Included throughout are exercises, hints, and discussions which form an important and integral part of the course.

Power Series Methods
Some Harmonic Analysis
Solution of Initial Value Problems by Fourier Synthesis
Propagators and x-Space Methods
The Dirichlet Problem
Appendix: A Crash Course in Distribution Theory
References
Index

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