Many physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods. This work focuses exclusively on singular integral equations and on the distributional solutions of these equations. A large number of beautiful mathematical concepts are required to find such solutions, which in tum, can be applied to a wide variety of scientific fields - potential theory, me� chanics, fluid dynamics, scattering of acoustic, electromagnetic and earth� quake waves, statistics, and population dynamics, to cite just several. An integral equation is said to be singular if the kernel is singular within the range of integration, or if one or both limits of integration are infinite. The singular integral equations that we have studied extensively in this book are of the following type. In these equations f (x) is a given function and g(y) is the unknown function. 1. The Abel equation x x) = l g (y) d 0 < a < 1. ( / Ct y, ( ) a X - Y 2. The Cauchy type integral equation b g (y) g(x)=/(x)+).. l--dy, a y-x where).. is a parameter. x Preface 3. The extension b g (y) a (x) g (x) = J (x) +).. l--dy , a y-x of the Cauchy equation. This is called the Carle man equation.

Recensione

"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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

Quality books, speedy shipping, and great customer service! Please note that used items may not include access codes or cards, CD's or other accessories, regardless of what is stated in item title. If you need to guarantee that these items are included, please purchase a brand new copy.

Visita la pagina della libreria

Informazioni sull?azienda del venditore

J2B Holdings, LLC
13770 NOEL RD, #803600, Dallas, TX, 75240, U.S.A.

Condizioni di vendita e spedizione

Condizioni di vendita

We guarantee the condition of every book as it's described on the AbeBooks web
sites. Please note that used items may not include access codes or cards, CD's
or other accessories, regardless of what is stated in item title. If you need to
guarantee that these items are included, please purchase a brand new copy.

All requests for refunds and/or returns will be processed in accordance with
AbeBooks policies. If you're dissatisfied with your purchase (Incorrect Book/Not
as Described/Damaged) or if ...

Ulteriori informazioni

Diritto di recesso

Condizioni di spedizione

Books ordered via expedited shipping should arrive between 2 and 7 business days after shipment confirmation. Books ordered via standard shipping should arrive between 4 and 14 business days after shipment confirmation.

Tariffe di spedizione nazionale per U.S.A.

Tariffe di spedizione nazionale per U.S.A.
Quantit� dell?ordine	Da 4 a 10 giorni lavorativi	Da 3 a 6 giorni lavorativi
Primo articolo	EUR 3.43	EUR 6.02

I tempi di consegna sono stabiliti dai venditori e variano in base al corriere e al paese. Gli ordini che devono attraversare una dogana possono subire ritardi e spetta agli acquirenti pagare eventuali tariffe o dazi associati. I venditori possono contattarti in merito ad addebiti aggiuntivi dovuti a eventuali maggiorazioni dei costi di spedizione dei tuoi articoli.