This work focuses on the distributional solutions of singular integral equations, progressing from basic concepts of the classical theory to the more difficult two-dimensional problems.
"The book represents a well-written and richly illustrated by examples textbook for those who want to be introduced to the topic... The book...might be very useful for advanced engineers and students. Special features, distinguishing the book from others...are simple exposition (minimal number of lengthy proofs), ample examples, and exercises... The authors supply by examples almost all principal sections and demonstrate practical use of the exposed theoretical material. Bibliographical notes and exercises conclude each chapter." -Zentralblatt Math "The content and style reflect the fact that the authors address their book to those who are interested in applications, like physicists, theoretically inclined engineers and other scientists working with mathematical tools... The necessary prerequisites are summarized at the beginning in a separate chapter, which makes the material accessible also for graduate students with little background in mathematics... Special features of the book in comparison with most texts on singular integral equations are the distributional framework and the inclusion of Hadamard finite part integrals... The authors give explicit solutions and formulas...making the book a good reference for those who need to solve concrete problems. Many worked-out examples and exercises...help the ambitious reader to get some practice and may serve as a valuable source of problems for students and lecturers." -Mathematical Reviews
Innehållsförteckning
Reference material; Abel's and related integral equations; Cauchy type integral equations; Carleman type integral equations; distributional solutions of singular integral equations; distributional equations on the whole line; integral equations with logarithmic kernels; Wiener-Hopf integral equations; dual and triple integral equations. References.
