Elementary Applied Partial Differential Equations / Edition 2

Elementary Applied Partial Differential Equations / Edition 2

by Richard Haberman
     
 

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ISBN-10: 0132528754

ISBN-13: 9780132528757

Pub. Date: 11/28/1986

Publisher: Prentice Hall Professional Technical Reference

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

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-linearwave equations and a brief introduction to Laplace transform solution ofpartial differential equations.For scientists and engineers.

Product Details

ISBN-13:
9780132528757
Publisher:
Prentice Hall Professional Technical Reference
Publication date:
11/28/1986
Edition description:
Older Edition
Pages:
544
Product dimensions:
6.69(w) x 9.84(h) x (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 DifferentialEquations.
7. Partial Differential Equations with at Least ThreeIndependent Variables.
8. Nonhomogeneous Problems.
9. Green's Functions for Time-Independent Problems.
10. Infinite Domain Problems—Fourier Transform Solutionsof Partial Differential Equations.
11. Green's Functions for Wave and Heat Equations.
12. The Method of Characteristics for Linear and Quasi-LinearWave Equations.
13. A Brief Introduction to Laplace Transform Solution ofPartial Differential Equations.
14. Topics: Dispersive Waves, Stability, Nonlinearity, andPerturbation Methods.
Bibliography.
Selected Answers to Starred Exercises.
Index.

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