Handbook of Complex Analysis: Geometric Function Theory (Hardcover) (ISBN-13: 9780444515476)

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).

Author: Reiner Kuhnau
ISBN-10: 044451547X
ISBN-13: 9780444515476
Publisher: North-Holland
Language: English
Published: 12/01/2004
Pages: 876
Format: Hardcover
Weight: 3.67lbs
Size: 9.74h x 6.86w x 1.51d