Mendeley出力
＜図書＞
Dynamics in one dimension
| 責任表示 | L.S. Block, W.A. Coppel |
|---|---|
| シリーズ | Lecture notes in mathematics ; 1513 |
| データ種別 | 図書 |
| 出版情報 | Berlin ; Tokyo : Springer-Verlag , c1992 |
| 本文言語 | 英語 |
| 大きさ | viii, 247 p. ; 25 cm |
| 概要 | The behaviour under iteration of unimodal maps of aninterval, such as the logistic map, has recently attractedconsiderable attention. It is not so widely known that asubstantial theory has by now bee... built up for arbitrarycontinuous maps of an interval. The purpose of the book isto give a clear account of this subject, with completeproofs of many strong, general properties. In a number ofcases these have previously been difficult of access. Theanalogous theory for maps of a circle is also surveyed.Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered afirst course in real analysis. Thus the book will be of usenot only to students and researchers, but will also providemathematicians generally with an understanding of how simplesystems can exhibit chaotic behaviour. The behaviour under iteration of unimodal maps of aninterval, such as the logistic map, has recently attractedconsiderable attention. It is not so widely known that asubstantial theory has by now been built up for arbitrarycontinuous maps of an interval. The purpose of the book isto give a clear account of this subject, with completeproofs of many strong, general properties. In a number ofcases these have previously been difficult of access. Theanalogous theory for maps of a circle is also surveyed.Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered afirst course in real analysis. Thus the book will be of usenot only to students and researchers, but will also providemathematicians generally with an understanding of how simplesystems can exhibit chaotic behaviour. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/7017824 |
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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理系図3F 数理独自 | SER/LNM/1513 | 1992 |
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068222193001327 |
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理系図 自動書庫 | 410.8/L 493/(1513) | 1992 |
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068582192006675 |
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: gw | 数理 雑誌室 | SER/LNM/K1513 | 1992 |
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068252195010070 | 410.8 |
書誌詳細
| 一般注記 | Bibliography: p. [235]-242 Includes index |
|---|---|
| 著者標目 | *Block, Louis S. (Louis Stuart), 1947- Coppel, W. A |
| 件 名 | LCSH:Topological dynamics LCSH:Iterative methods (Mathematics) |
| 分 類 | LCC:QA3 LCC:QA611.5 DC20:500 s DC20:514/.322 NDC8:410.8 |
| 書誌ID | 1000035342 |
| ISBN | 3540553096 |
| NCID | BA14134279 |
| 巻冊次 | : gw ; ISBN:3540553096 ; PRICE:DM62.00 : us ; ISBN:0387553096 |
| 登録日 | 2009.09.10 |
| 更新日 | 2017.02.18 |