Handbook of Complex Analysis: Geometric Function Theory: 2 - Hardcover

 
9780444515476: Handbook of Complex Analysis: Geometric Function Theory: 2
Hardcover
ISBN 10: 044451547X ISBN 13: 9780444515476
Publisher: North Holland, 2004

Synopsis

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).

  • A collection of independent survey articles in the field of GeometricFunction Theory
  • Existence theorems and qualitative properties of conformal and quasiconformal mappings
  • A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)

"synopsis" may belong to another edition of this title.

Synopsis

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).

The key features include: a collection of independent survey articles in the field of Geometric Function Theory; existence theorems and qualitative properties of conformal and quasiconformal mappings; and a bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).

"About this title" may belong to another edition of this title.

Publisher
North Holland
Publication date
2004
Language
English
ISBN 10 
044451547X
ISBN 13 
9780444515476
Binding
Hardcover
Number of pages
876
Editor
Kuhnau Reiner