Potential Theory in the Complex Plane : London Mathematical Society Student Texts - No Information Available

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Potential Theory in the Complex Plane

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Hardcover | 15 May 1995

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Hardcover
244 Pages

Dimensions(cm)
22.86 x 15.24 x 1.75

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Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, harmonic measure, Green's functions, potentials and capacity. This is an introduction to the subject suitable for beginning graduate students, concentrating on the important case of two dimensions. This permits a simpler treatment than other books, yet is still sufficient for a wide range of applications to complex analysis; these include Picard's theorem, the Phragmen-Lindeloef principle, the Koebe one-quarter mapping theorem and a sharp quantitative form of Runge's theorem. In addition there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics, and gives a flavour of some recent research. Exercises are provided throughout, enabling the book to be used with advanced courses on complex analysis or potential theory.

Industry Reviews

'This book is a engaging addition to the estimable London Mathematical Student Text Series. An excellent text; my compliments to the author.' The Mathematical Intelligencer

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Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Complex Analysis Science Science in General Probability & Statistics Differential Calculus & Equations

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Paperback

Published: 15th May 1995

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Preface
A word about notation
Harmonic functions
Subharmonic functions
Potential theory
The Dirichlet problem
Capacity
Applications
Borel measures
Bibliography
Index
Glossary of notation
Table of Contents provided by Publisher. All Rights Reserved.

Potential Theory in the Complex Plane

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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