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

Guo-Chun Wen

Hardcover

ISBN 10: 0821845624 ISBN 13: 9780821845622

Publisher: American Mathematical Society, 1992

Synopsis

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.

About this title

Language Notes

Text: English (translation)
Original Language: Chinese

Review

Suitable for use as an undergraduate or graduate level textbook. --Zentralblatt für Mathematik

Edition details

• Publisher: American Mathematical Society
• Publication date: 1992
• Language: English
• ISBN 10: 0821845624
• ISBN 13: 9780821845622
• Binding: Hardcover
• Number of pages: 303