Overview

Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.

Full Product Details

Author:   Reiner Kuhnau (Martin Luther Universität, Halle-Wittenberg, Germany)
Publisher:   Elsevier Science & Technology
Imprint:   North-Holland
Dimensions:   Width: 16.40cm , Height: 2.60cm , Length: 24.10cm
Weight:   1.140kg
ISBN:  

9780444828453

ISBN 10:   0444828451
Pages:   548
Publication Date:   05 December 2002
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Preface. List of Contributors. Univalent and multivalent functions (W.K. Hayman). Conformal maps at the boundary (Ch. Pommerenke). Extremal quasiconformal mapings of the disk (E. Reich). Conformal welding (D.H. Hamilton). Siegel disks and geometric function theory in the work of Yoccoz (D.H. Hamilton). Sufficient confidents for univalence and quasiconformal extendibility of analytic functions (L.A. Aksent'ev, P.L. Shabalin). Bounded univalent functions (D.V. Prokhorov). The *-function in complex analysis (A. Baernstein II). Logarithmic geometry, exponentiation, and coefficient bounds in the theory of univalent functions and nonoverlapping domains (A.Z. Grinshpan). Circle packing and discrete analytic function theory (K. Stephenson). Extreme points and support points (T.H. MacGregory, D.R. Wilken). The method of the extremal metric (J.A. Jenkins). Universal Teichmüller space (F.P. Gardiner, W.J. Harvey). Application of conformal and quasiconformal mappings and their properties in approximation theory (V.V. Andrievskii). Author Index. Subject Index.

Reviews

A thoroughly written author index as well as a subject index simplifies the research for the reader. A well-written book . Rudolf Rupp - Zeitschrift Fuer Angewandte Mathematik Und Mechanik, 2005.

A thoroughly written author index as well as a subject index simplifies the research for the reader. A well-written book . Rudolf Rupp - Zeitschrift Fuer Angewandte Mathematik Und Mechanik, 2005.

A thoroughly written author index as well as a subject index simplifies the research for the reader. Rudolf Rupp, in: (Zeitschrift fuer Angewandte Mathematik und Mechanik, 2005)

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