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    Brian Doyle 9780870717543

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Partial Differential Equations: Methods and Applications

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Synopses & Reviews

Publisher Comments:

Designed to prepare readers to better understand the current literature in research journals, this book explains the basics of classical PDEs and a wide variety of more modern methods—especially the use of functional analysis—which has characterized much of the recent development of PDEs. It gives equal treatment to elliptic, hyperbolic, and parabolic theory, and features an abundance of applications to equations that are important in physics and engineering—both on the basic and more advanced level. Provides worked, figures and illustrations, and extensive references to other literature. First-Order Equations. Principles for Higher-Order Equations. The Wave Equation. The Laplace Equation. The Heat Equation. Linear Functional Analysis. Differential Calculus Methods. Linear Elliptic Theory. Two Additional Methods. Systems of Conservation Laws. Linear and Nonlinear Diffusion. Linear and Nonlinear Waves. Nonlinear Elliptic Equations. Appendix on Physics. For anyone using PDEs in physics and engineering applications.

Table of Contents

Introduction.

 1. First-Order Equations.

 2. Principles for Higher-Order Equations.

 3. The Wave Equation.

 4. The Laplace Equation.

 5. The Heat Equation.

 6. Linear Functional Analysis.

 7. Differential Calculus Methods.

 8. Linear Elliptic Theory.

 9. Two Additional Methods.

10. Systems of Conservation Laws.

11. Linear and Nonlinear Diffusion.

12. Linear and Nonlinear Waves.

13. Nonlinear Elliptic Equations.

Appendix on Physics.

Hints and Solutions for Selected Exercises.

References.

Index.

Index of Symbols.

Product Details

ISBN:
9780130093356
Author:
McOwen, Robert C.
Publisher:
Pearson
Author:
McOwen, Robert C.
Author:
McOwen, Robert
Location:
Upper Saddle, N.J.
Subject:
Differential Equations - Partial Differential Equations
Subject:
Differential equations, partial
Subject:
Advanced
Subject:
General-General
Copyright:
Edition Number:
2
Edition Description:
Trade paper
Series:
Featured Titles for Partial Differential Equations
Series Volume:
182
Publication Date:
October 2002
Binding:
TRADE PAPER
Grade Level:
College/higher education:
Language:
English
Illustrations:
Yes
Pages:
452
Dimensions:
9 x 6 x 1 in 608 gr

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Related Subjects

Engineering » Construction » General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General

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