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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000004887745 | QA377 P56 2001 | Reference Book | Handbook | Searching... |
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Summary
Summary
Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering.
Parabolic, hyperbolic, and elliptic equations with constant and variable coefficients
New exact solutions to linear equations and boundary value problems
Equations and problems of general form that depend on arbitrary functions
Formulas for constructing solutions to nonhomogeneous boundary value problems
Second- and higher-order equations and boundary value problems
An introductory section outlines the basic definitions, equations, problems, and methods of mathematical physics. It also provides useful formulas for expressing solutions to boundary value problems of general form in terms of the Green's function. Two supplements at the end of the book furnish more tools and information: Supplement A lists the properties of common special functions, including the gamma, Bessel, degenerate hypergeometric, and Mathieu functions, and Supplement B describes the methods of generalized and functional separation of variables for nonlinear partial differential equations.
Reviews 1
Choice Review
Polyanin (Russian Academy of Sciences, Moscow) calls his book a handbook, but it is actually encyclopedic in its coverage (and its heft). It offers one-stop shopping for scientists and engineers who need a cookbook solution for partial differential equations (PDEs). The logical organization--by type of equation (parabolic, hyperbolic, or elliptic) and number of variables--makes finding entries easy. A final chapter treats equations of degree higher than two, and two supplements treat special functions and nonlinear equations, respectively. Individual entries often describe the physical significance of equations and explain the ideas behind the solutions. Though Polyanin's book is not a textbook, students might do well to browse here for an advance sketch of the subject, or return here for a summary. Many entries have citations to Russian authors, often to texts available only in Russian, a boon for readers who might find this literature inaccessible. The author has written or contributed to a number of related handbooks; this very useful book has no competitors. Upper-division undergraduates through professionals. D. V. Feldman University of New Hampshire
Table of Contents
| Introduction |
| Equations of Parabolic Type with One Space Variable |
| Equations of Parabolic Type with Two Space Variables |
| Parabolic Equations with Three or More Space Variables |
| Hyperbolic Equations with One Space Variable |
| Hyperbolic Equations with Two Space Variables |
| Hyperbolic Equations with Three or More Space Variables |
| Elliptic Equations with Two Space Variables |
| Elliptic Equations with Three or More Space Variables |
| Higher-Order Partial Differential Equations |
| Supplements |
