| Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions Contributor(s): Mityushev, V. (Author), Rogosin, S. V. (Author) |
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ISBN: 1584880570 ISBN-13: 9781584880578 Publisher: CRC Press OUR PRICE: $218.50 Product Type: Hardcover Published: November 1999 Annotation: This volume presents some constructive methods-based primarily on original techniques- developed in the framework of analytic functions. and their application to important, modern applications. The monograph contains results that are prepared for application, so the book is useful to both experts and non-specialists. Constructive Methods for Linear and Nonlinear Boundary Value Problems presents many recent results to Western readers for the first time. It will prove useful a broad audience, including specialists in analytic function theory, non-specialist mathematicians, and non-mathematicians who can apply these methods in their research in mechanics and physics. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Medical - Mathematics | Algebra - General |
| Dewey: 515.35 |
| LCCN: 99044959 |
| Series: Monographs and Surveys in Pure and Applied Mathematics |
| Physical Information: 0.88" H x 6.08" W x 9.64" (1.31 lbs) 296 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Constructive methods developed in the framework of analytic functions effectively extend the use of mathematical constructions, both within different branches of mathematics and to other disciplines. This monograph presents some constructive methods-based primarily on original techniques-for boundary value problems, both linear and nonlinear. From among the many applications to which these methods can apply, the authors focus on interesting problems associated with composite materials with a finite number of inclusions. How far can one go in the solutions of problems in nonlinear mechanics and physics using the ideas of analytic functions? What is the difference between linear and nonlinear cases from the qualitative point of view? What kinds of additional techniques should one use in investigating nonlinear problems? Constructive Methods for Linear and Nonlinear Boundary Value Problems serves to answer these questions, and presents many results to Westerners for the first time. Among the most interesting of these is the complete solution of the Riemann-Hilbert problem for multiply connected domains. The results offered in Constructive Methods for Linear and Nonlinear Boundary Value Problems are prepared for direct application. A historical survey along with background material, and an in-depth presentation of practical methods make this a self-contained volume useful to experts in analytic function theory, to non-specialists, and even to non-mathematicians who can apply the methods to their research in mechanics and physics. |