Elements of Partial Differential Equations

Although designed for use in the undergraduate classroom, this accessible text uses examples, illustrations and exercises so efficiently this could double as a self-study guide. The authors, (both mathematics, U. of West Bohemia) cover mathematical models, conservation, constitutive laws, classification, types of equations, boundary, initial conditions, liner partial differential equations of the first order, wave equations in one spatial variable, diffusions in one spatial variable, Laplace and Poisson equations in two dimensions, solutions of initial boundary value problems for evolution equations, solutions of boundary value problems for stationary equations, methods of integral transforms, general principles (including the energy method and Laplace equation), Laplace and Poisson equations in higher dimensions, diffusion equations in higher dimensions, and wave equations in higher dimensions, with appendices on the Sturm-Liouville problem and Bessel functions. Annotation c2007 Book News, Inc., Portland, OR (booknews.com)

Pavel Drabek and Gabriela Holubova, University of West Bohemia, Czech Republic.