 |
| Der Artikel wird am Ende des Bestellprozesses zum Download zur Verfügung gestellt. |
Boundary Value Problems and Fourier Expansions
Lieferzeit: Sofort lieferbar I
20,99 €*
ISBN-13:
9780486153179
Veröffentl:
2013
Seiten:
384
Autor:
Charles R. Maccluer
Serie:
Dover Books on Mathematics
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
Based on modern Sobolev methods, this text for advanced undergraduates and graduate students is highly physical in its orientation. It integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. The first five sections form an informal introduction that develops students' physical and mathematical intuition. The following section introduces Hilbert space in its natural environment, and the next six sections pose and solve the standard problems. The final seven sections feature concise introductions to selected topics, including Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 1994 edition. 64 figures. Exercises.
1. Preliminaries2. Steady Problems3. The Heat Equation4. The Wave Equation5. Separation of Variables6. Hilbert Space7. Fourier Series8. Rectangular Problems9. Bessel Functions10. Cylindrical Problems11. Orthogonal Polynomials12. Spherical Problems13. Sturm-Liouville Problems14. Choosing Inner Products15. Symbolic Manipulation16. Operational Calculus17. Fourier Integrals18. Galerkin's Method19. Sobolev MethodsAppendixesReferencesIndex