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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010049642 | QA377 C665 2002 | Open Access Book | Book | Searching... |
Searching... | 30000010178028 | QA377 C665 2002 | Open Access Book | Book | Searching... |
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Summary
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 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.
Reviews 1
Choice Review
Constanda (Univ. of Strathclyde, UK) provides an easy-to-read and straight-to-the-point book for all those who want to familiarize themselves with concepts and solution techniques for partial differential equations (PDEs). As a pedagogical attempt to introduce at an elementary level general concepts, principles, and solution techniques, the book offers some of the most important and widely used concepts for PDEs and their solutions. Typical methods, such as the method of separation of variables, the eigenfunction expansion method, Green's functions, and transform methods are discussed very clearly and concisely. A writing style special to this author is the complete departure from the arid theorem-proof approach to PDEs. Abstract concepts are carefully explained and supported with a wealth of remarks, application-oriented illustrations, and a wonderful collection of problems, a few elementary enough for any beginner. On the whole, the material is very well presented; this is one of the best books on elementary PDEs this reviewer has read so far. Highly recommended. Upper-division undergraduates through professionals. D. E. Bentil University of Vermont
