Integral Equations (Wiley Classics Library #13) (Paperback)
This concise treatment of integral equations has long stood as a standard introduction to the subject. Hochstadt's presentation comprises a reasonable compromise between the precise, but lengthy, classical approach and the faster, but less productive, functional analytic approach, while developing the most desirable features of each. The 7 chapters present an introduction to integral equations, elementary techniques, the theory of compact operators, applications to boundary value problems in more than dimension, a complete treatment of numerous transform techniques, a development of the classical Fredholm technique, and application of Schauder fixed point theorem to nonlinear equations.
Harry Hochstadt is the author of Integral Equations, published by Wiley.