The Classical Theory of Integral Equations (PDF)

The Classical Theory of Integral Equations is a thorough, concise, and rigorous treatment of the essential aspects of the theory of integral equations.  The book provides the background and insight necessary to facilitate a complete understanding of the fundamental results in the field.  With a firm foundation for the theory in their grasp, students will be well prepared and motivated for further study. Included in the presentation are: 

. A section entitled Tools of the Trade at the beginning of each chapter, providing necessary background information for comprehension of the results presented in that chapter;

. Thorough discussions of the analytical methods used to solve many types of integral equations;

. An introduction to the numerical methods that are commonly used to produce approximate solutions to integral equations;

. Over 80 illustrative examples that are explained in meticulous detail;

. Nearly 300 exercises specifically constructed to enhance the understanding of both routine and challenging concepts;

. Guides to Computation to assist the student with particularly complicated algorithmic procedures.

This unique textbook offers a comprehensive and balanced treatment of material needed for a general understanding of the theory of integral equations by using only the mathematical background that a typical undergraduate senior should have.  The self-contained book will serve as a valuable resource for advanced undergraduate and beginning graduate-level students as well as for independent study.  Scientists and engineers who are working in the field will also find this text to be user friendly and informative.