**Translations of Mathematical Monographs**

1992;
303 pp;
Hardcover

MSC: Primary 30; 47;
Secondary 81

**Print ISBN: 978-0-8218-4562-2
Product Code: MMONO/106**

List Price: $122.00

Individual Member Price: $97.60

# Conformal Mappings and Boundary Value Problems

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*Guo-Chun Wen*

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.

#### Table of Contents

# Table of Contents

## Conformal Mappings and Boundary Value Problems

#### Readership

Graduate students as well as experts in theoretical and mathematical physics, differential and integral equations and mathematical analysis.

#### Reviews

The exposition is clear and very detailed … most constructive methods are described in detail while in the proofs of theorems every step is made explicitly. Moreover at the end of each chapter a series of exercises is provided, allowing the reader to check his/her understanding of the preceeding chapter.

-- mededelingen van het wiskundig genootschap

Suitable for use as an undergraduate or graduate level textbook.

-- Zentralblatt MATH