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Linear Partial Differential Equations and Fourier Analysis

Publisher: 
Cambridge University Press
Number of Pages: 
601
Price: 
60.00
ISBN: 
9780521136594

This is a fairly standard textbook on Partial Differential Equations. Most of it is standard undergraduate fare, with only a few sections dealing with more advanced material. The suggested 12 week syllabus would be difficult with most undergraduates, but quite feasible with a first-year graduate course.


Maeve McCarthy is Professor of Mathematics at Murray State University in Kentucky.

Date Received: 
Thursday, March 18, 2010
Reviewable: 
Yes
Include In BLL Rating: 
No
Marcus Pivato
Publication Date: 
2010
Format: 
Paperback
Category: 
Textbook
Maeve McCarthy
12/19/2011

Preface; Notation; What's good about this book?; Suggested twelve-week syllabus; Part I. Motivating Examples and Major Applications: 1. Heat and diffusion; 2. Waves and signals; 3. Quantum mechanics; Part II. General Theory: 4. Linear partial differential equations; 5. Classification of PDEs and problem types; Part 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; Part 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; Part V. Miscellaneous Solution Methods: 16. Separation of variables; 17. Impulse-response methods; 18. Applications of complex analysis; Part VI. Fourier Transforms on Unbounded Domains: 19. Fourier transforms; 20. Fourier transform solutions to PDEs; Appendices; References; Index.

Publish Book: 
Modify Date: 
Monday, December 19, 2011

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