Description - Potential Theory in the Complex Plane by Thomas Ransford
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.
Buy Potential Theory in the Complex Plane by Thomas Ransford from Australia's Online Independent Bookstore, Boomerang Books.
(228mm x 152mm x 14mm)
Cambridge University Press
Publisher: Cambridge University Press
Country of Publication:
Other Editions - Potential Theory in the Complex Plane by Thomas Ransford
Book Reviews - Potential Theory in the Complex Plane by Thomas Ransford