Elementary Applied Partial Differential Equations With Fourier Series and Boundary Value Problems, 3/e
Richard Haberman, Southern Methodist University
Published July, 1997 by Prentice Hall Engineering/Science/Mathematics
Copyright 1998, 736 pp.
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Partial Differential Equations-Mathematics
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Emphasizing the physical interpretation of mathematical solutions,
this book introduces applied mathematics while presenting partial
Leads readers step-by-step from simple exercises to
increasingly powerful mathematical techniques for solving more complicated
and realistic physical problems.
Discusses hear flow and vibrating strings and membranes
so students can better understand the relationships between mathematics
and the physical problems.
Carefully organized, easily readable discussion of
the role of partial differential equations in applied mathematics.
Emphasizes examples and problem solving. Provides
a thorough and reasoned approach to problem solving, stressing understanding.
Great care in physical and mathematical derivations, ensuring
students are aware of assumptions being made.
Clear and lively writing style.
Clearly explains details and ideas with patience and
Text allows instructor flexibility in the selection of material.
Includes several important pedagogical features.
NEW Includes a new chapter on topics in
partial differential equations involving dispersive waves. This self-contained
chapter presents stability, nonlinearity, and perturbation methods.
- More than 200 figures.
- Presents more than 1000 exercises with answers to selected
exercises in the back of the book.
- Important equations and statements are frequently boxed.
- Paragraphs are often titled in bold.
- Important formulas are made into tables.
- Inside covers include important tabulated information.
NEW Includes a short section on fluid flow
past a circular cylinder (lift) early in the text, thereby providing
a more realistic application of partial differential equations (Laplace's
NEW Includes a short section on reflection
and refraction of light and sound waves that provides a realistic
application of partial differential equations (the wave equation).
NEW Includes a short section on the finite
element method in the chapter on numerical methods for partial
NEW Presents a section on partial differential
equations with spherical geometry and the required discussion of
Legendre polynomials that discusses more realistic physical problems
defined on the spherical earth.
NEW Provides a section on eigenvalue problems
with a continuous and discrete spectrum for applicable material
on scattering and inverse scattering.
NEW Includes a section on first-order nonlinear
partial differential equations for eikonal equation of geometrical
NEWIncludes many computer generated three-dimensional
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
8. Nonhomogeneous Problems.
9. Green's Functions for Time-Independent Problems.
10. Infinite Domain ProblemsFourier Transform Solutions
of Partial Differential Equations.
11. Green's Functions for Time-Dependent Problems.
12. The Method of Characteristics for Linear and Quasi-Linear
13. A Brief Introduction to Laplace Transform Solution of
Partial Differential Equations.
14. Topics: Dispersive Waves, Stability, Nonlinearity, and
Selected Answers to Starred Exercises.