Constanda, C: Solution Techniques for Elementary Partial Dif

Ordinary Differential Equations: Brief Revision. Fourier Series. Sturm–Liouville Problems. Some Fundamental Equations of Mathematical Physics. The Method of Separation of Variables. Linear Nonhomogeneous Problems. The Method of Eigenfunction Expansion. The Fourier Transformations. The Laplace Transformation. The Method of Green’s Functions. General Second-Order Linear Equations. The Method of Characteristics. Perturbation and Asymptotic Methods. Complex Variable Methods. Appendix. Further Reading. Index.