Linear Partial Differential Equations and Fourier Theory

Name: Linear Partial Differential Equations and Fourier Theory
Price: 55.67 USD
Availability: InStock
ISBN: 9780521136594

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: 6.75" wide x 9.50" long x 1.05" 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