| Handbook of Complex Analysis: Geometric Function Theory Contributor(s): Kuhnau, Reiner (Editor) |
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ISBN: 044451547X ISBN-13: 9780444515476 Publisher: North-Holland OUR PRICE: $272.25 Product Type: Hardcover - Other Formats Published: December 2004 Annotation: 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). |
| Additional Information |
| BISAC Categories: - Mathematics | Vector Analysis - Mathematics | Mathematical Analysis - Mathematics | Calculus |
| Dewey: 515.9 |
| Series: Handbook of Complex Analysis |
| Physical Information: 1.51" H x 6.86" W x 9.74" (3.67 lbs) 876 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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). |