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Separation of variables for partial differential equations : an eigenfunction approach

Author: George L Cain; Gunter H Meyer
Publisher: Boca Raton, FL : Chapman & Hall/CRC, 2006.
Series: Studies in advanced mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Written at the advanced undergraduate level, the book will serve equally well as a text for students and as a reference for instructors and users of separation of variables. It requires a background in engineering mathematics, but no prior exposure to separation of variables. The abundant worked examples provide guidance for deciding whether and how to apply the method to any given problem, help in interpreting  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: George L Cain; Gunter H Meyer
ISBN: 1584884207 9781584884200
OCLC Number: 61253978
Description: xv, 281 pages : illustrations ; 24 cm.
Contents: 1. Potential, heat, and wave equation --
2. Basic approximation theory --
3. Sturm-Liouville problems --
4. Fourier series --
5. Eigenfunction expansions for equations in two independent variables --
6. One-dimensional diffusion equation --
7. One-dimensional wave equation --
8. Potential problems in the plane --
9. Multidimensional problems.
Series Title: Studies in advanced mathematics.
Responsibility: George Cain, Gunter H. Meyer.
More information:

Abstract:

Shows the power of the separation of variables technique by solving a variety of problems. With a focus on the potential, heat, and wave equations, this book takes a spectral expansion view of the  Read more...

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