This book resulted from the author's fascination with the mathematical beauty of integral equations. It is an attempt to combine theory, applications, and numerical methods, and cover each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers, the author has made the work as self-contained as possible, by requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book. Problems are included at the end of each chapter. For the second edition, in addition to corrections and adjustments throughout the text, as well as an updated reference section, new topics have been added.
"The book contains 18 well presented chapters with an extensive list of 249 references. ... It also contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear, and in the proper modern framework. ... It is recommended for study to students, teachers, and all others who are interested in the development of this useful, and live area of mathematics." (K. C. Gupta, zbMATH 1328.45001, 2016)
"The book being reviewed is the third edition of a well received one on integral equations which combines theory, applications and also numerical methods. ... the book is more suitable for graduate students. The writing is lucid and clear, and the presentation is excellent. ... the book should appeal not just to mathematicians, but also to scientists and engineers who wish to learn the theory of integral equations, the methods used to solve them, and their applications." (Peter Shiu, The Mathematical Gazette, Vol. 99 (544), March, 2015)
"The book being reviewed is the third edition of a well received one on integral equations which combines theory, applications and also numerical methods. ... the book is more suitable for graduate students. The writing is lucid and clear, and the presentation is excellent. ... the book should appeal not just to mathematicians, but also to scientists and engineers who wish to learn the theory of integral equations, the methods used to solve them, and their applications." (Peter Shiu, The Mathematical Gazette, Vol. 99 (544), March, 2015)