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Linear partial differential equations and Fourier theory / Marcus Pivato

Author
Pivato, Marcus, 1974-
Published
Cambridge, UK ; New York : Cambridge University Press, 2010.
Physical Description
xxvii, 601 pages : illustrations ; 26 cm

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Contents
Pt. I. Motivating Examples and Major Applications -- 1. Heat and diffusion -- 2. Waves and signals -- 3. Quantum mechanics -- Pt. II. General Theory -- 4. Linear partial differential equations -- 5. Classification of PDEs and problem types -- Pt. III. Fourier Series on Bounded Domains -- 6. Some functional analysis -- 7. Fourier sine series and cosine series -- 8. Real Fourier series and complex Fourier series -- 9. Mulitdimensional Fourier series -- 10. Proofs of the Fourier convergence theorems -- Pt. IV. BVP Solutions Via Eigenfunction Expansions -- 11. Boundary value problems on a line segment -- 12. Boundary value problems on a square -- 13. Boundary value problems on a cube -- 14. Boundary value problems in polar coordinates -- 15. Eigenfunction methods on arbitrary domains -- Pt. V. Miscellaneous Solution Methods -- 16. Separation of variables -- 17. Impulse-response methods -- 18. Applications of complex analysis -- Pt. VI. Fourier Transforms on Unbounded Domains -- 19. Fourier transforms -- 20. Fourier transform solutions to PDEs.
Subject(s)
ISBN
9780521199704 (hardback)
0521199700 (hardback)
9780521136594 (pbk)
0521136598 (pbk)
Bibliography Note
Includes bibliographical references (pages 581-583) and indexes.
Source of Acquisition
Physical and Mathematical Sciences copy: Purchased with funds from the James and Joyce Gettys Libraries Endowment in the Math Library and in the School of Information Sciences and Technology; 2009.
Endowment Note
James and Joyce Gettys Libraries Endowment in the Math Library and in the School of Information Sciences and Technology
View MARC record | catkey: 6196263