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Linear Partial Differential Equations and Fourier Theory

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ISBN-10: 0521136598

ISBN-13: 9780521136594

Edition: 2009

Authors: Marcus Pivato

List price: $97.95
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Book details

List price: $97.95
Copyright year: 2009
Publisher: Cambridge University Press
Publication date: 1/7/2010
Binding: Paperback
Pages: 630
Size: 6.81" wide x 9.65" long x 1.06" tall
Weight: 2.684
Language: English

Preface
Notation
What's good about this book?
Suggested twelve-week syllabus
Motivating Examples and Major Applications
Heat and diffusion
Waves and signals
Quantum mechanics
General Theory
Linear partial differential equations
Classification of PDEs and problem types
Fourier Series on Bounded Domains
Some functional analysis
Fourier sine series and cosine series
Real Fourier series and complex Fourier series
Mulitdimensional Fourier series
Proofs of the Fourier convergence theorems
BVP Solutions Via Eigenfunction Expansions
Boundary value problems on a line segment
Boundary value problems on a square
Boundary value problems on a cube
Boundary value problems in polar coordinates
Eigenfunction methods on arbitrary domains
Miscellaneous Solution Methods
Separation of variables
Impulse-response methods
Applications of complex analysis
Fourier Transforms on Unbounded Domains
Fourier transforms
Fourier transform solutions to PDEs
Appendices
References
Index