Handbook of Complex Analysis
Geometric Function Theory Vol. 2
Edited by Reiner Kuhnau
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Handbook of Complex Analysis by Reiner Kuhnau
Book DescriptionGeometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane).
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Book DetailsISBN: 9780444515476
(234mm x 165mm x 38mm)
Publisher: Elsevier Science & Technology
Publish Date: 6-Dec-2004
Country of Publication: United States
Books By Author Reiner Kuhnau
Handbook of Complex Analysis, Hardback (July 2002)» View all books by Reiner Kuhnau
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 theory of conformal and quasiconformal mappings. It also includes a collection of independent survey articles in the field of Geometric Function Theory.
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