Publisher description for Handbook of integral equations / Andrei D. Polyanin and Alexander V. Manzhirov.


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A unique reference for engineers and scientists, the Handbook of Integral Equations contains over 2,400 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. This second edition includes new chapters on hypersingular and multidimensional equations, the methods of integral equations for ODEs and PDEs, and the abstract theory of integral operators, along with over 300 new equations with solutions. With many examples added for illustrative purposes, it presents new material on Fredholm, singular, dual, and nonlinear integral equations and special functions.




Library of Congress subject headings for this publication:
Integral equations -- Handbooks, manuals, etc.