Handbook of Integral Equations: Second Edition (Handbooks of Mathematical Equations)

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9781584885078: Handbook of Integral Equations: Second Edition (Handbooks of Mathematical Equations)
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Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor.

New to the Second Edition

·          New material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions

·          More than 400 new equations with exact solutions

·          New chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs

·          Additional examples for illustrative purposes

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 book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.

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"When compiling this handbook, the author had not just mathematicians in mind, but physicists, engineers, etc. as well. This group in particular will be able to use profitably the extensive first part of the book which collects the solutions of over 2100 integral equation arranged in an intelligible orderthe handbook provides a wealth of useful material." -Buchbesprechungen - Book Reviews "The number of equations described in this book is of a magnitude greater than in other available books." --European Mathematical Society

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