Potential Theory in the Complex Plane
Dr 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 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.
Kategori:
Tahun:
1995
Penerbit:
Cambridge University Press
Bahasa:
english
Halaman:
240
ISBN 10:
0521466547
ISBN 13:
9780521466547
Nama seri:
London Mathematical Society Student Texts
File:
DJVU, 1.21 MB
IPFS:
,
english, 1995
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