Simple, clear exposition of the Fredholm theory for integral equations of the second kind of Fredholm type. A brief treatment of the Volterra equation is also included. An outstanding feature is a table comparing finite dimensional spaces to function spaces. ". . . An excellent presentation."—Am. Math. Monthly. Translated from second revised (1951) Russian edition. Bibliography.

Concise classic presents main results of integral equation theory as consequences of theory of operators on Banach and Hilbert spaces. Also, applications to second order linear differential equations and Fourier integral techniques. 1969 edition.