Classical Potential Theory (Hardcover, 2001 ed.)

From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research. This book provides a comprehensive treatment of classical potential theory: it covers harmonic and subharmonic functions, maximum principles, polynomial expansions, Green functions, potentials and capacity, the Dirichlet problem and boundary integral representations. The first six chapters deal concretely with the basic theory, and include exercises. The final three chapters are more advanced and treat topological ideas specifically created for potential theory, such as the fine topology, the Martin boundary and minimal thinness.
The presentation is largely self-contained and is accessible to graduate students, the only prerequisites being a reasonable grounding in analysis and several variables calculus, and a first course in measure theory. The book will prove an essential reference to all those with an interest in potential theory and its applications.

General

Imprint:	Springer London
Country of origin:	United Kingdom
Series:	Springer Monographs in Mathematics
Release date:	October 2000
First published:	2001
Authors:	David H. Armitage • Stephen J. Gardiner
Dimensions:	235 x 155 x 26mm (L x W x T)
Format:	Hardcover
Pages:	333
Edition:	2001 ed.
ISBN-13:	978-1-85233-618-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
LSN:	1-85233-618-8
Barcode:	9781852336189

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