Solution techniques for elementary partial differential equations
 Responsibility
 Christian Constanda.
 Imprint
 Boca Raton, Fla. : Chapman & Hall/CRC Press, c2002.
 Physical description
 xvi, 253 p. : ill. ; 24 cm.
 Series
 Chapman & Hall/CRC mathematics.
Online
Available online
At the library
Science Library (Li and Ma)
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Call number  Note  Status 

QA377 .C7629 2002  Unknown 
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Description
Creators/Contributors
 Author/Creator
 Constanda, C. (Christian)
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 247) and index.
 Contents

 Preface ORDINARY DIFFERENTIAL EQUATIONS: BRIEF REVISION FirstOrder Equations Homogeneous Linear Equations with Constant Coefficients Nonhomogeneous Linear Equations with Constant Coefficients Linear Operators Exercises FOURIER SERIES The Full Fourier Series Fourier Sine Series Fourier Cosine Series Convergence and Differentiation Exercises STURMLIOUVILLE PROBLEMS Regular SturmLiouville Problems Other SturmLiouville Problems Exercises THREE FUNDAMENTAL EQUATIONS OF MATHEMATICAL PHYSICS The Heat Equation The Laplace Equation The Wave Equation THE METHOD OF SEPARATION OF VARIABLES The Heat Equation The Wave Equation The Laplace Equation Equations with More than Two Variables Exercises LINEAR NONHOMOGENEOUS PROBLEMS Equilibrium Solutions Nonhomogeneous Problems Exercises THE METHOD OF EIGENFUNCTION EXPANSION The Heat Equation The Wave Equation The Laplace Equation Exercises THE FOURIER TRANSFORMATIONS The Full Fourier Transformation The Fourier Sine and Cosine Transformations Exercises THE LAPLACE TRANSFORMATION Definition and Properties Applications Exercises THE METHOD OF GREEN'S FUNCTIONS The Heat Equation The Laplace Equation The Wave Equation Exercises GENERAL SECONDORDER LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH TWO INDEPENDENT VARIABLES The Canonical Form Hyperbolic Equations Parabolic Equations Elliptic Equations Exercises THE METHOD OF CHARACTERISTICS FirstOrder Linear Equations FirstOrder Quasilinear Partial Equations The OneDimensional Wave Equation Exercises PERTURBATION AND ASYMPTOTIC METHODS Asymptotic Series Regular Perturbation Problems Singular Perturbation Problems Exercises APPENDIX BIBLIOGRAPHY INDEX.
 (source: Nielsen Book Data)
 Publisher's summary

Of the many available texts on partial differential equations (PDEs), most are too detailed and voluminous, making them daunting to many students. In sharp contrast, Solution Techniques for Elementary Partial Differential Equations is a nofrills treatment that explains completely but succinctly some of the most fundamental solution methods for PDEs. After a brief review of elementary ODE techniques and discussions on Fourier series and SturmLiouville problems, the author introduces the heat, Laplace, and wave equations as mathematical models of physical phenomena. He then presents a number of solution techniques and applies them to specific initial/boundary value problems for these models. Discussion of the general second order linear equation in two independent variables follows, and finally, the method of characteristics and perturbation methods are presented.Most students seem to like concise, easily digestible explanations and worked examples that let them see the techniques in action. This text offers them both. Ideally suited for independent study and classroom tested with great success, it offers a direct, streamlined route to competence in PDE solution techniques.
(source: Nielsen Book Data)  Supplemental links

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Publisher description
Subjects
Bibliographic information
 Publication date
 2002
 Series
 Chapman & Hall/CRC mathematics
 ISBN
 1584882573 (alk. paper)
 9781584882572 (alk. paper)