Handbook of Integral Equations (original) (raw)

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| | | | A. D. Polyanin and A. V. Manzhirov Handbook of Integral EquationsSecond Edition, Updated, Revised and Extended Publisher: Chapman & Hall/CRC Press Publication Date: 14 February 2008 Number of Pages: 1144 Summary Preface Features Contents Index References | | ---------------------------------------------------------------------------------------------------- | | -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |

Features

Represents a unique reference for engineers and scientists that has no analogues in the world literature
Contains over 2,500 linear and nonlinear integral equations and their exact solutions
Outlines exact, approximate analytical, and numerical methods for solving integral equations
Illustrates the application of the methods with numerous specific examples
Considers equations that arise in elasticity, plasticity, creep, heat and mass transfer, hydrodynamics, chemical engineering sciences, and other fields
Suits to be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations
Presents many times more integral equations than any other book currently available

New to the second edition

A considerable amount of additional material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions
Methods of integral equations for ODEs and PDEs
Over 300 added pages and about 400 new integral equations with exact solutions
Mixed multidimensional 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 material in increasing order of complexity.

The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.