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     Handbook of Integral Equations, Second Edition    

A. D. Polyanin and A. V. Manzhirov

Handbook of Integral Equations
Second 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


  • 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.

Copyright © 2008 Andrei D. Polyanin