Handbook Of First Order Partial Differential Equations


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Handbook of Linear Partial Differential Equations for Engineers and Scientists


Handbook of Linear Partial Differential Equations for Engineers and Scientists

Author: Andrei D. Polyanin

language: en

Publisher: CRC Press

Release Date: 2001-11-28


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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

Handbook of Nonlinear Partial Differential Equations


Handbook of Nonlinear Partial Differential Equations

Author: Andrei D. Polyanin

language: en

Publisher: CRC Press

Release Date: 2004-06-02


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The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:

Handbook of First-Order Partial Differential Equations


Handbook of First-Order Partial Differential Equations

Author: Andrei D. Polyanin

language: en

Publisher: CRC Press

Release Date: 2001-11-15


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This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. Each section outlines basic solution methods for the differential equations in that section. The text presents equations and their applications in areas such as differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, and wave theory. This handbook is essential for researchers, engineers and students of applied mathematics, mechanics, control theory, and the engineering sciences.