Potential Theory in the Complex Plane (London Mathematical Society Student Texts)

Potential Theory in the Complex Plane (London Mathematical Society Student Texts)

Editorial Reviews
Review
'This book is a engaging addition to the estimable London Mathematical Student Text Series. An excellent text; my compliments to the author.' The Mathematical Intelligencer

Book 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 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.

Potential Theory in the Complex Plane (London Mathematical Society Student Texts),Thomas Ransford,J. W Bruce,Cambridge University Press,0521461200,Calculus,Differential Equations,Functions of complex variables,General,Mathematics,Potential theory (Mathematics),Probability & Statistics - General,Science,Science/Mathematics,Theory Of Functions,Complex analysis,Mathematics / Differential Equations

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