Synopsis
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.
Review
... one-stop shopping for scientists and engineers who need a cookbook solution for partial differential equations. The logical organization--by type of equation...and number of variables--makes finding entries easy. ... This very useful book has no competitors.
-CHOICE, October 2002
...a good example of a reference information resource named 'Handbook.' It is an information tool: comprehensive, condensed, descriptive in 'Contents,' authoritative, and practical. ...In one volume it contains over 2,000 solutions to linear partial differential equations ...It is not a solution manual to accompany a textbook, but an information resource of advanced level for professionals... a great addition for research and academic collections.
E-Streams, Vol. 6, No. 2
...I have been reading the Polyanin books Handbook of Linear Partial Differential Equations for Engineers and Scientists and Handbook of Exact Solutions for Ordinary Differential Equations. I think these books are extraordinary, and are destined to become classics ... CRC Press has provided an invaluable service to science and engineering by publishing these books.
- William Schiesser, Lehigh University
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