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...
Many physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods. This w...
..".The authors of this remarkable book are among the very few who have faced up to the challenge of explaining what an asymptotic expansion is, and of systematizing the handling of asymptotic series. The idea of using distributions is an original one, and we recommend that you read the book... it] should be on your bookshelf if you are at all interested in knowing what an asymptotic series is." -"The Bulletin of Mathematics Books" (Review of the 1st edition) ** ..".The book is a valuable one, one that many applied mathematicians may want to buy. The authors are undeniably experts in their...
..".The authors of this remarkable book are among the very few who have faced up to the challenge of explaining what an asymptotic expansion is, and o...