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