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Applied Partial Differential Equations

Applied Partial Differential Equations Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Appropriate for an undergraduate first course, this text's in-depth elementary presentation is intended primarily for students in science, engineering, and applied mathematics.

Synopsis:

Includes bibliographical references (p. 726-730) and index.

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.

Product Details

ISBN:
9780130652430
Publisher:
Pearson
Location:
Upper Saddle River, N.J.
Author:
Beekman, George
Author:
Haberman, Richard
Author:
Cram101 Textbook Reviews
Subject:
Advanced
Subject:
Differential Equations - Partial Differential Equations
Subject:
Boundary value problems
Subject:
Differential equations, partial
Subject:
Fourier series
Subject:
Education-General
Subject:
General-General
Copyright:
Edition Number:
4
Series Volume:
107-644
Publication Date:
March 2003
Binding:
Hardback
Grade Level:
College/higher education:
Language:
English
Illustrations:
Yes
Pages:
769
Dimensions:
9.1 x 7.1 x 1.2 in 1152 gr

Related Subjects


Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General
Transportation » Automotive » General

Applied Partial Differential Equations
0 stars - 0 reviews
$ In Stock
Product details 769 pages Prentice Hall - English 9780130652430 Reviews:
"Synopsis" by , Appropriate for an undergraduate first course, this text's in-depth elementary presentation is intended primarily for students in science, engineering, and applied mathematics.
"Synopsis" by , Includes bibliographical references (p. 726-730) and index.
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