Applied Partial Differential Equations – Richard Haberman – 4th Edition

Description

Emphasizing the physical interpretation of mathematical solutions, this introduces applied during the presentation of partial differential equations.

Suitable for an elementary or advanced undergraduate of varying lengths. Also appropriate for the start of graduate students. His primary in-depth presentation is aimed primarily at in applied science, and mathematics.

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Table of Contents

1. Heat Equation.
2. Method of Separation of Variables.
3. Fourier Series.
4. Vibrating Strings and Membranes.
5. Sturm-Liouville Eigenvalue Problems.
6. Finite Difference Numerical Methods for Partial Differential Equations.
7. Partial Differential Equations with at Least Three Independent Variables.
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 Quasi-Linear Wave Equations.
13. A Brief Introduction to Laplace Transform Solution of Partial Differential Equations.
14. Topics: Dispersive Waves, Stability, Nonlinearity, and Perturbation Methods.

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