Applied partial differential equations : with Fourier series and boundary value problems /

Bibliographic Details
Main Author:	Haberman, Richard, 1945-
Format:	Book
Language:	English
Published:	Upper Saddle River, N.J. : Pearson Prentice Hall, c2004.
Edition:	4th ed.
Subjects:	Differential equations, Partial. Fourier series. Boundary value problems. Equações diferenciais parciais. Équations aux dérivées partielles. Fourier, Séries de. Problèmes aux limites. Anwendung. Fourier-Reihe. Partielle Differentialgleichung. Randwertproblem.

Table of Contents:

1. Heat Equation
2. Method of Separation of Variables
3. Fourier Series
4. Wave Equation: Vibrating Strings and Membranes
5. Sturm-Liouville Eigenvalue Problems
6. Finite Difference Numerical Methods for Partial Differential Equations
7. Higher Dimensional Partial Differential Equations
8. Nonhomogeneous Problems
9. Green's Functions for Time-Independent Problems
10. Infinite Domain Problems: Fourier Transform Solutions of Partial Differential Equations
11. Green's Functions for Wave and Heat Equations
12. The Method of Characteristics for Linear and Quasilinear Wave Equations
13. Laplace Transform Solution of Partial Differential Equations
14. Dispersive Waves: Slow Variations, Stability, Nonlinearity, and Perturbation Methods.