Fourier Series and Boundary Value Problems – Ruel V. Churchill, James W. Brown – 3rd Edition

Preface
1. Partial differential equations of physics
2. The method of separation of variables
3. Orthogonal sets of functions
4. Fourier series
5. Further properties of fourier series
6. Boundary value problems
7. Fourier integrals and applications
8. Bessel funnctions and applications
9. Legendre polynomials and applications
10. Uniqueness of solutions