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Item Details
Title: POTENTIAL THEORY IN THE COMPLEX PLANE
By: Thomas Ransford, J. Bruce
Format: Paperback

List price: £49.99
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ISBN 10: 0521466547
ISBN 13: 9780521466547
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 16 March, 1995
Series: London Mathematical Society Student Texts No.28
Pages: 244
Description: Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.
Synopsis: 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-Lindelof 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.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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ELLIPTIC FUNCTIONS (HB)
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FOURIER ANALYSIS ON FINITE GROUPS AND APPLICATIONS (PB)
HARMONIC MAPS, LOOP GROUPS, AND INTEGRABLE SYSTEMS (HB)
HARMONIC MAPS, LOOP GROUPS, AND INTEGRABLE SYSTEMS (PB)
HILBERT SPACE (PB)
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PRESENTATIONS OF GROUPS (PB)
REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE (HB)
REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE (PB)
SET THEORY FOR THE WORKING MATHEMATICIAN (PB)
SINGULAR POINTS OF PLANE CURVES (HB)
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YOUNG TABLEAUX (PB)

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