A. D. Polyanin and A. V. Manzhirov, Handbook of Integral Equations, Second Edition, Updated, Revised and Extended, Chapman & Hall/CRC Press, 2008, 1144 pages.
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