ISBN 9783540570783 | 3540570780 Textbooks - "Logarithmic Potentials with External Fields Grundlehren der mathematischen Wissenschaften" by Edward B Saff Saff Vilmos Totik Vilmos Edward B Saff Vilmos Totik Edward B and Totik E B Saff

Authors: Edward B. Saff - Saff - Vilmos Totik - Vilmos - Edward B. Saff; Vilmos Totik - Edward B. a…
ISBN 10: 3540570780
ISBN 13: 9783540570783
Edition: 1997
Release: November 13, 1997
Format: Hardcover (505 pages)
List Price: $159.00
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List Price: $159.00

Tags: Science, General,

Book Description:
This treatment of potential theory emphasizes the effects of an external field (or weight) on the minimum energy problem. Several important aspects of the external field problem (and its extension to signed measures) justify its special attention. The most striking is that it provides a unified approach to seemingly different problems in constructive analysis. These include the asymptotic analysis of orthogonal polynomials, the limited behavior of weighted Fekete points; the existence and construction of fast decreasing polynomials; the numerical conformal mapping of simply and doubly connected domains; generalization of the Weierstrass approximation theorem to varying weights; and the determination of convergence rates for best approximating rational functions.

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Logarithmic Potentials with External Fields (Grundlehren der mathematischen Wissenschaften)