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<図書>
Geometric function theory

責任表示 edited by R. Kühnau
シリーズ Handbook of complex analysis
データ種別 図書
出版情報 Amsterdam ; Tokyo : Elsevier , 2002-2005
本文言語 英語
大きさ 2 v. : ill. ; 25 cm
概要 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 e...istence 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). 続きを見る
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所蔵情報


v. 1 理系図3F 数理独自 R/E/58-1 2002
023212002007258

v. 2 理系図3F 数理独自 R/E/58-2 2005
023212004009558

書誌詳細

一般注記 Includes bibliographic references and indexes
著者標目 Kühnau, Reiner
件 名 LCSH:Geometric function theory
分 類 DC21:515
書誌ID 1001247226
ISBN 0444828451
NCID BA60481487
巻冊次 v. 1 ; ISBN:0444828451
v. 2 ; ISBN:044451547X
NBN BA305789
登録日 2009.09.18
更新日 2017.02.18