Solution Techniques for Elementary Partial Differential Equations

Solution Techniques for Elementary Partial Differential Equations

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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 no-frills 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 Sturm-Liouville 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.There are many textbooks on partial differential equations on the market. ... When I ask the undergraduates what they want from a book, their most common answers are (i) to understand without ... with some occasional instructor guidance , while the high flyers get a basic and rapid grounding in the fundamentals of the anbsp;...


Title:Solution Techniques for Elementary Partial Differential Equations
Author: Christian Constanda
Publisher:CRC Press - 2002-02-26
ISBN-13:

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