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by Charles R. MacCluer
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ISBN: 0486439011 Dover Publications Price: $19.95 |
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Based on modern Sobolev methods, this text not only includes an informal introduction that develops students' physical and mathematical intuition, but also introduces Hilbert space in its natural environment, and then poses and solve standard problems. The final part covers Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 1994 edition. 64 figures. Exercises.
Table of Contents for Boundary Value Problems and Fourier Expansions
| 1. Preliminaries | |||||||
| 2. Steady Problems | |||||||
| 3. The Heat Equation | |||||||
| 4. The Wave Equation | |||||||
| 5. Separation of Variables | |||||||
| 6. Hilbert Space | |||||||
| 7. Fourier Series | |||||||
| 8. Rectangular Problems | |||||||
| 9. Bessel Functions | |||||||
| 10. Cylindrical Problems | |||||||
| 11. Orthogonal Polynomials | |||||||
| 12. Spherical Problems | |||||||
| 13. Sturm-Liouville Problems | |||||||
| 14. Choosing Inner Products | |||||||
| 15. Symbolic Manipulation | |||||||
| 16. Operational Calculus | |||||||
| 17. Fourier Integrals | |||||||
| 18. Galerkin’s Method | |||||||
| 19. Sobolev Methods | |||||||
| Appendixes | |||||||
| References | |||||||
| Index |