Handbook of Complex Analysis: Geometric Function Theory (Hardcover)

Handbook of Complex Analysis: Geometric Function Theory Cover Image
By Reiner Kuhnau (Editor)
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Geometric 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).
Product Details
ISBN: 9780444515476
ISBN-10: 044451547X
Publisher: North-Holland
Publication Date: December 1st, 2004
Pages: 876
Language: English
Series: Handbook of Complex Analysis