Handbook of Complex Analysis

Reiner Kuhnau

ISBN 10: 044451547X / ISBN 13: 9780444515476

Editore: Elsevier Science & Technology Dez 2004, 2004

Riguardo questo articolo

Neuware - 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).

Codice articolo 9780444515476

Dati bibliografici

• Titolo: Handbook of Complex Analysis
• Editore: Elsevier Science & Technology Dez 2004
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 044451547X
• ISBN 13: 9780444515476
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 258 L x 177 A x 40 P (millimetri) 258 millimetri di larghezza per 177 millimetri di altezza per 40 millimetri di profondità
• Peso: 1720 grammi

Descrizione articolo

Riassunto

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).

Product Description

Book by None