Potential Theory in the Complex Plane

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Mathematics - Analysis
Potential Theory in the Complex Plane

Potential Theory in the Complex Plane

Name: Potential Theory in the Complex Plane
ISBN: 9780521466547

Dr Thomas Ransford

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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 Phragmén-Lindelöf principle, the Radó-Stout theorem, Lindelöf'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.

الفئات:

Mathematics - Analysis

عام:

1995

الناشر:

Cambridge University Press

اللغة:

english

الصفحات:

240

ISBN 10:

0521466547