| Advances in Dual Integral Equations Contributor(s): Mandal, B. N. (Author), Mandal, Nanigopal (Author) |
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ISBN: 0849306175 ISBN-13: 9780849306174 Publisher: CRC Press OUR PRICE: $133.00 Product Type: Paperback - Other Formats Published: December 1998 Annotation: This book presents the development of dual integral equations (DIE) during the last 25 years -- the only book available offering this coverage. Topics include approximation theory, integral transforms and integral equations, mechanics of solids, fluid mechanics, and mathematical physics. This resource assists researchers in applied mathematics, specializing in integral equations and mixed boundary value problems in solid mechanics, fluid mechanics, and mathematical physics. |
| Additional Information |
| BISAC Categories: - Science | Physics - Mathematical & Computational - Mathematics | Applied - Medical |
| Dewey: 530.155 |
| LCCN: 98-54685 |
| Series: Chapman & Hall/CRC Research Notes in Mathematics |
| Physical Information: 0.52" H x 7.05" W x 10.04" (0.94 lbs) 232 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The effectiveness of dual integral equations for handling mixed boundary value problems has established them as an important tool for applied mathematicians. Their many applications in mathematical physics have prompted extensive research over the last 25 years, and many researchers have made significant contributions to the methodology of solving and to the applications of dual integral equations. However, until now, much of this work has been available only in the form of research papers scattered throughout different journals. In Advances in Dual Integral Equations, the authors systematically present some of the recent developments in dual integral equations involving various special functions as kernel. They examine dual integral equations with Bessel, Legendre, and trigonometric functions as kernel plus dual integral equations involving inverse Mellin transforms. These can be particularly useful in studying certain mixed boundary value problems involving homogeneous media in continuum mechanics. However, when dealing with problems involving non-homogenous media, the corresponding equations may have different kernels. This application prompts the authors to conclude with a discussion of hybrid dual integral equations-mixed kernels with generalized associated Legendre functions and mixed kernels involving Bessel functions. Researchers in the theory of elasticity, fluid dynamics, and mathematical physics will find Advances in Dual Integral Equations a concise, one-stop resource for recent work addressing special functions as kernel. |