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Partial Differential Equations
Jeffrey Rauch
Price
495.00
ISBN
9788184896237
Language
English
Pages
280
Format
Paperback
Year of Publishing
2010
Territorial Rights
Restricted
Imprint
Springer

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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.

1. Power Series Methods 2. Some Harmonic Analysis 3. Solution of Initial Value Problems by Fourier Synthesis 4. Propagators and x-Space Methods 5. The Dirichlet Problem Appendix: A Crash Course in Distribution Theory References Index
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