Partial Differential Equations of Applied Mathematics (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

This revised and expanded comprehensive second edition discusses mathematical models that give rise to PDEs, classifies the equations and problems into different types, and examines exact and approximate methods for solution of these problems. The book addresses problems that involve both linear and nonlinear equations of the three basic types: parabolic, hyperbolic and elliptic. The coverage ranges from solution methods for first-order PDEs to perturbation and asymptotic methods for solving linear and nonlinear higher order equations. The book also includes a substantial number of new exercises and examples, with many answers. Furthermore, the chapter order is flexible enough to be used for full-year or one-term courses. The previous edition of this book was published in 1983. 1. Random Walks And Partial Differential Equations -- 2. First Order Partial Differential Equations -- 3. Classification Of Equations And Characteristics -- 4. Initial And Boundary Value Problems In Bounded Regions -- 5. Integral Transforms -- 6. Integral Relations -- 7. Green's Functions -- 8. Variational And Other Methods -- 9. Perturbation Methods -- 10. Asymptotic Methods. Erich Zauderer. A Wiley-interscience Publication. Includes Index. Bibliography: P. 840-844. This revised and expanded edition discusses mathematical models that give rise to partial differential equations, and examines exact and approximate methods for the solution of these problems. It addresses linear and nonlinear equations of the parabolic, hyperbolic and elliptic type.