TY  - BOOK
AU  - Pivato,Marcus
TI  - Linear partial differential equations and Fourier theory
SN  - 9781107640412
U1  - 515.353 23
PY  - 2010///
CY  - Delhi
PB  - Cambridge University Press
KW  - Partial differential equations
KW  - Linear differential equations
KW  - Fourier transformations
N1  - 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.
N2  - 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.
ER  -