Applied Partial Differential Equations / Edition 4

Applied Partial Differential Equations / Edition 4

by Richard Haberman
     
 

Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations. Topics addressed include heat equation, method of separation of variables, Fourier series, Sturm-Liouville eigenvalue problems, finite difference numerical methods for partial differential

See more details below

Overview

Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations. Topics addressed include heat equation, method of separation of variables, Fourier series, Sturm-Liouville eigenvalue problems, finite difference numerical methods for partial differential equations, nonhomogeneous problems, Green's functions for time-independent problems, infinite domain problems, Green's functions for wave and heat equations, the method of characteristics for linear and quasi-linear wave equations and a brief introduction to Laplace transform solution of partial differential equations. For scientists and engineers.

Product Details

ISBN-13:
9780130652430
Publisher:
Pearson
Publication date:
03/26/2003
Edition description:
REV
Pages:
769
Product dimensions:
7.20(w) x 9.40(h) x 1.30(d)

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.

Bibliography.

Selected Answers to Starred Exercises.

Index.

Read More

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >