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Potential Theory in the Complex Plane by Thomas Ransford
Potential Theory in the Complex Plane by Thomas Ransford
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Potential Theory in the Complex Plane

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Description

Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analysis. This is reflected in the large number of applications, which include Picard's theorem, the Phragmen-Lindelof principle, the Rado-Stout theorem, Lindelof's theory of asymptotic values, the Riemann mapping theorem (including continuity at the boundary), the Koebe one-quarter theorem, Hilbert's lemniscate theorem, and the 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 flavor of some recent research in the area.
Release date NZ
March 16th, 1995
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
244
Dimensions
151x228x13
ISBN-13
9780521466547
Product ID
1976497

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