Mendeley出力
＜図書＞
Space-filling curves
| 責任表示 | Hans Sagan |
|---|---|
| シリーズ | Universitext |
| データ種別 | 図書 |
| 出版情報 | New York ; Berlin : Springer-Verlag , c1994 |
| 本文言語 | 英語 |
| 大きさ | xv, 193 p. : 65 ills. ; 24 cm |
| 概要 | The subject of space-filling curves has generated a great deal of interest in the 100 years since the first such curve was discovered by Peano. Cantor, Hilbert, Moore, Knopp, Lebesgue, and Polya are ...mong the prominent mathematicians who have contributed to the field. However, there have been no comprehensive treatments of the subject since Siepinsky's in 1912. Cantor showed in 1878 that the number of points on an interval is the same as the number of points in a square (or cube, or whatever), and in 1890 Peano showed that there is indeed a continuous curve that continuously maps all points of a line onto all points of a square, though the curve exists only as a limit of very convoluted curves. This book discusses generalizations of Peano's solution and the properties that such curves must possess and discusses fractals in this context. The only prerequisite is a knowledge of advanced calculus. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6869203 |
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 | SAGA/20/3 | 1994 |
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068222194006864 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. [177]-185) and index |
|---|---|
| 著者標目 | *Sagan, Hans |
| 件 名 | LCSH:Curves on surfaces LCSH:Topology |
| 分 類 | NDC8:414.7 LCC:QA643 DC20:516.3/62 |
| 書誌ID | 1000033507 |
| ISBN | 0387942653 |
| NCID | BA23520331 |
| 巻冊次 | : us ; ISBN:0387942653 : gw ; ISBN:3540942653 ; PRICE:DM59.90 |
| 登録日 | 2009.09.10 |
| 更新日 | 2017.02.18 |