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Elementary applied partial differential equations : with Fourier series and boundary value problems

Author: Richard Haberman
Publisher: Upper Saddle River, NJ : Prentice Hall, ©1998.
Edition/Format:   Print book : English : 3rd edView all editions and formats
Summary:

Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations.

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Document Type: Book
All Authors / Contributors: Richard Haberman
ISBN: 013263807X 9780132638074
OCLC Number: 36841669
Description: xiv, 736 pages : illustrations ; 25 cm
Contents: Preface --
1. Heat Equation --
2. Method of Separation of Variables --
3. Fourier Series --
4. Vibrating Strings and Membranes --
5. Sturm-Liouville Eigenvalue Problems --
6. An Elementary Discussion of 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 Time-Dependent Problems --
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 --
Bibliography --
Selected Answers to Starred Exercises --
Index.
Responsibility: Richard Haberman.

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