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Potential Theory in the Complex Plane

Name: Potential Theory in the Complex Plane
Brand: Cambridge University Press
SKU: 02031758
Price: 181.69 EUR
Availability: InStock
Author: Thomas Ransford
ISBN: 9780521461207

Thomas Ransford

Lingua

Inglese

Libro Rigido

Codice Libristo: 02031758

Casa editrice Cambridge University Press, marzo 1995

Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and... Descrizione completa

Codice Libristo: 02031758

445 b

181.69 €

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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 permits a simpler treatment than other books, yet is still sufficient for a wide range of applications to complex analysis; these include Picard's theorem, the Phragmén–Lindelöf principle, the Koebe one-quarter mapping theorem and a 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 flavour of some recent research. Exercises are provided throughout, enabling the book to be used with advanced courses on complex analysis or potential theory.