Potential theory in the complex plane /

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, conce...

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Bibliographic Details
Author / Creator:Ransford, Thomas.
Imprint:Cambridge [England] ; New York : Press Syndicate of the University of Cambridge, 1995.
Description:1 online resource (x, 232 pages)
Language:English
Series:London Mathematical Society student texts ; 28
London Mathematical Society student texts ; 28.
Subject:Potential theory (Mathematics)
Functions of complex variables.
Potentiel, Théorie du.
Fonctions d'une variable complexe.
MATHEMATICS -- Complex Analysis.
Functions of complex variables.
Potential theory (Mathematics)
Potenzialtheorie
Potentiaaltheorie.
TEORIA DO POTENCIAL.
Potentiel, Théorie du.
Fonctions de plusieurs variables complexes.
Electronic books.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11179792
Hidden Bibliographic Details
ISBN:9781107362055
1107362059
9781107366961
1107366968
9780511623776
0511623771
0521461200
9780521461207
0521466547
9780521466547
Notes:Includes bibliographical references (pages 219-223) and index.
Print version record.
Summary: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 Phragmén-Lindelöf 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.
Other form:Print version: Ransford, Thomas. Potential theory in the complex plane. Cambridge [England] ; New York : Press Syndicate of the University of Cambridge, 1995 0521461200
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