Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions (Monographs and Surveys in Pure and Applied Mathematics) - Hardcover

Book 5 of 34: Monographs and Surveys in Pure and Applied Mathematics

Mityushev, V; Rogosin, S V

 
9781584880578: Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions (Monographs and Surveys in Pure and Applied Mathematics)
Hardcover
ISBN 10: 1584880570 ISBN 13: 9781584880578
Publisher: Chapman and Hall/CRC, 1999

Synopsis

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.

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About the Author

v Mityushev, S.V. Rogosin

"About this title" may belong to another edition of this title.

Publisher
Chapman and Hall/CRC
Publication date
1999
Language
English
ISBN 10 
1584880570
ISBN 13 
9781584880578
Binding
Hardcover
Edition number
1
Number of pages
294
Editor
Begehr H