Potential Theory in the Complex Plane (Paperback)

Language: English

Published by Cambridge University Press, Cambridge, 1995

0521466547 / 9780521466547

Series: Book 19 of 83 - London Mathematical Society Student Texts

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Paperback. 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. Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, harmonic measure, Green's functions, potentials and capacity. This is an introduction to the subject suitable for beginning graduate students, concentrating on the important case of two dimensions. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Title
Potential Theory in the Complex Plane (Paperback)
Author
Thomas Ransford
Publisher
Cambridge University Press, Cambridge
Publication year
1995
Condition
new
Binding
Paperback
Language
English
ISBN 10
0521466547
ISBN 13
9780521466547
Series
Book 19 of 83: London Mathematical Society Student Texts

CitiRetail

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AbeBooks seller since June 29, 2022

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