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Solution Techniques for Elementary Partial Differential Equations - 9781439811399

Un libro in lingua di Christian Constanda edito da Taylor & Francis, 2010

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"This concise, well-written book, which includes a profusion of worked examples and exercises, serves both as an excellent text in undergraduate and graduate learning and as a useful presentation of solution techniques for researchers and engineers interested in applying partial differential equations to real-life problems."---Barbara Zubik-Kowal, Boise State University, Idaho, USA

"... In my opinion, this is quite simply the best book of its kind that I have seen thus far. The book not only contains solution methods for some very important classes of PDEs, in an easy-to-read format, but is also student-friendly and teacher-friendly at the same time. It is definitely a textbook that should be adopted."---From the Foreword by Peter Schiavone, University of Alberta, Edmonton, Canada

Winner of the 2002 Choice Outstanding Academic Title Award, Solution Techniques for Elementary Partial Differential Equations presents some of the most important and widely used methods for solving PDEs. Along with a new chapter on complex variable methods, this second edition includes new sections on Cauchy-Euler equations, Bessel functions, Legendre polynomials, spherical harmonics, applications of Fourier transformations, and general hyperbolic equations. It lists additional mathematical models based on PDEs and shows how the methods of separation of variables and eigenfunction expansion work for equations other than heat, wave, and Laplace. The author also added many new examples and exercises. With concise, easily understood explanations and worked examples that illustrate the techniques in action, this edition continues to provide a streamlined, direct approach to developing readers' competence in solving PDEs.

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