The second edition of this book is a well-explained initial course in integral equations and it is provided with numerous examples and exercises. This book can be useful for researchers, undergraduate and graduate students in applied mathematics, science and engineering. Zentralblatt Math This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations. It provides a comprehensive treatment of linear and nonlinear Fredholm and Volterra integral equations of the first and second kinds. The materials are presented in an accessible and straightforward manner to readers, particularly those from non-mathematics backgrounds.