Linear partial differential equations and Fourier theory / Marcus Pivato.
Material type:
TextPublication details: Delhi : Cambridge University Press, 2010.Description: xxvii, 601 p. : ill. ; 26 cmISBN: - 9781107640412
- 515.353 23 P693
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.353 P693 (Browse shelf(Opens below)) | Available | C26359 |
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| 515.353 P497 Lectures on partial differential equations | 515.353 P497 Lectures on partial differential equations | 515.353 P647 Introduction to partial differential equations | 515.353 P693 Linear partial differential equations and Fourier theory / | 515.353 P746 Monge Ampere equations of elliptic type | 515.353 P781 Handbook of first order partial differential equations | 515.353 P788 Boundary-domain integral method for elliptic systems |
Includes bibliographical references (p. 581-583) and indexes.
1. Heat and diffusion--
2. Waves and signals--
3. Quantum mechanics--
4. Linear partial differential equations--
5. Classification of PDEs and problem types--
6. Some functional analysis--
7. Fourier sine series and cosine series--
8. Real Fourier series and complex Fourier series--
9. Multidimensional Fourier series--
10. Proofs of the Fourier convergence theorems--
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--
16. Separation of variables--
17. Impulse-response methods--
18. Applications of complex analysis--
19. Fourier transforms--
20. Fourier transform solutions to PDEs--
Appendixes--
References--
Indexes.
The book is ideal for students in mathematics and physics who require a more theoretical treatment than given in most introductory texts. Also designed with lecturers in mind, the fully modular presentation is easily adapted to a course of one-hour lectures, and a suggested 12-week syllabus is included to aid planning.
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