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＜図書＞
The golden ratio and Fibonacci numbers
| 責任表示 | by Richard A. Dunlap |
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| データ種別 | 図書 |
| 出版情報 | Singapore ; River Edge, NJ : World Scientific , c1997 |
| 本文言語 | 英語 |
| 大きさ | vii, 162 p. : ill. ; 23 cm |
| 概要 | In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addi...ion, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences. 続きを見る |
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 | DUNL/10/1 | c1997 |
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023211998001375 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p.153-155) and index |
|---|---|
| 著者標目 | *Dunlap, R. A. |
| 件 名 | LCSH:Golden section LCSH:Fibonacci numbers |
| 分 類 | LCC:QA466 DC21:512/.72 NDC8:412.1 |
| 書誌ID | 1001403434 |
| ISBN | 9810232640 |
| NCID | BA33961989 |
| 巻冊次 | ISBN:9810232640 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |