Conformal Mappings And Boundary Value Problems (Translations of Mathematical Monographs) - Hardcover

Wen, Guo Chun

 
9780821845622: Conformal Mappings And Boundary Value Problems (Translations of Mathematical Monographs)
Hardcover
ISBN 10: 0821845624 ISBN 13: 9780821845622
Verlag: American Mathematical Society, 1992

Inhaltsangabe

Translated from the Chinese. Conformal mapping and boundary value problems are two major branches of complex function theory. The former is the geometric theory of analytic functions, and the latter is the analysis theory governing the close relationship between abstract theory and many concrete problems. Topics include applications of Cauchy type integrals, the Hilbert boundary value problem, quasiconformal mappings, and basic boundary value problems for harmonic functions. Annotation copyright Book News, Inc. Portland, Or.

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Reseña del editor

This book presents a systematic exposition of the theory of conformal mappings, boundary value problems for analytic and harmonic functions, and the relationship between the two subjects. It is suitable for use as an undergraduate or graduate level textbook, and exercises are included. The first three chapters recount existence and uniqueness theorems of conformal mappings from simply and multiply connected domains to standard domains, some properties of analytic functions, harmonic functions and schlicht meromorphic functions, and representations of conformal mappings. In the remaining three chapters, the basic boundary value problems for analytic and harmonic functions are discussed in detail, including some new methods and results obtained by the author. For example, the Riemann-Hilbert boundary value problem with piecewise continuous coefficients in a multiply connected domain is covered in chapter five, and some irregular oblique derivative problems are treated in chapter six.

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Verlag
American Mathematical Society
Erscheinungsdatum
1992
Sprache
Englisch
ISBN 10 
0821845624
ISBN 13 
9780821845622
Einband
Tapa dura
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