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Handbook of complex analysis : geometric function theory. Volume 1

Author: Reiner Kühnau
Publisher: Amsterdam ; Boston : North Holland/Elsevier, 2002.
Edition/Format:   eBook : Document : English : 1st edView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(DLC) 2003279721
(OCoLC)51321298
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Reiner Kühnau
ISBN: 9780444828453 0444828451 9780080532813 0080532810
OCLC Number: 162707777
Description: 1 online resource : illustrations
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.
Other Titles: Geometric function theory.
Responsibility: edited by R. Kühnau.
More information:

Abstract:

Geometric Function Theory is a central part of Complex Analysis. This book deals with this field and its ramifications and relations to other areas of mathematics and physics. It focuses on the  Read more...

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"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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