Potential theory in the complex plane
Ransford, Thomas.
creator
text
bibliography
Electronic books.
Electronic books.
enk
Cambridge [England]
New York
Press Syndicate of the University of Cambridge
1995
monographic
eng
1 online resource (x, 232 pages)
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.
Harmonic functions -- Subharmonic functions -- Potential theory -- The Dirichlet problem -- Capacity -- Applications.
Thomas Ransford.
Includes bibliographical references (pages 219-223) and index.
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
QA404.7 .R36 1995eb
31.42
Potential theory in the complex plane
Ransford, Thomas.
Cambridge [England] ; New York : Press Syndicate of the University of Cambridge, 1995
(DLC) 94038846
(OCoLC)31291287
London Mathematical Society student texts ; 28
9781107362055
1107362059
9781107366961
1107366968
9780511623776
0511623771
0521461200
9780521461207
0521466547
9780521466547
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130325
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11179792
eng