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This handbook contains more than 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. This second edition includes chapters on mixed multi-dimensional equations and methods of integral equations for ODEs and PDEs, providing more than 400 equations with exact solutions. With many examples added for illustrative purposes, it covers Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions.
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