From the back cover: This unique book is the only English language introduction to linear integral equations. It considers both the general theory of linear equations with a single integration and their application to differential equations, calculus of variations, and special areas in mathematical physics. It develops in detail the Fredholm and Hilbert-Schmidt theories, and applies them to the solution of Dirichlet's problem and Neumann's problem, and similar topics. Applications are extensive, treatment is extremely clear, and demonstrations are full and detailed.