Integral Equations

Integral equations arise in a wide variety of mathematical and scientific problems. This textbook is devoted to the study and solution of such equations and provides a unified treatment of the theory together with a description of the range of solution methods. Throughout, a wide selection of exercises has been designed to help further a student's understanging of the subject, as well as to impart familiarity with the most important methods of solution. All the main classes of integral equations are covered, including Volterra, Fredholm and non-linear integral equations. The close relationship with differential equations is also explored in order that students develop an understanding of the relationship between the two classes of equation and their relative merits for solving problems.