<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 |
| 電子版へのリンク |
https://hdl.handle.net/2324/6828523 https://hdl.handle.net/2324/6976456 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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v. 1 | 理系図3F 数理独自 | R/E/58-1 | 2002 |
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023212002007258 |
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v. 2 | 理系図3F 数理独自 | R/E/58-2 | 2005 |
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023212004009558 |
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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 |
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