Mendeley出力
＜図書＞
The mathematics of harmony : from Euclid to contemporary mathematics and computer science
| 責任表示 | by Alexey Stakhov ; assisted by Scott Olsen |
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| シリーズ | Series on knots and everything ; v. 22 |
| データ種別 | 図書 |
| 出版情報 | Toh Tuck Link, Singapore ; Hackensack, N.J. ; Covent Garden, London : World Scientific , c2009 |
| 本文言語 | 英語 |
| 大きさ | xlix, 694 p. : ill. (some col.) ; 26 cm |
| 概要 | Ukrainian mathematician and engineer Stakhov draws on his four decades of research into Fibonacci numbers and the Golden Section to set out the fundamentals for a new specialty of mathematics, one he ...elieves will eventually revolutionize both the understanding and teaching of mathematics. After reviewing the classical treatments of Golden Mean, Fibonacci numbers, and Platonic solids, he covers the mathematics of harmony and its application in computer science. Among specific topics are regular polyhedrons, hyperbolic Fibonacci and Lucas functions, algorithmic measurement theory, ternary mirror-symmetrical arithmetic, and a new coding theory based on a matrix approach. Several pages of color reproductions illustrate symmetry in nature and art. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
| 目次 | Three "key" problems of mathematics on the stage of its origin Classical golden mean, Fibonacci numbers, and platonic solids The golden section Fibonacci and Lucas numbers Regular polyhedrons Mathematics of harmony Generalizations of Fibonacci numbers and the golden mean Hyperbolic Fibonacci and Lucas functions Fibonacci and golden matrices Application in computer science Algorithmic measurement theory Fibonacci computers Codes of the golden proportion Ternary mirror-symmetrical arithmetic A new coding theory based on a matrix approach Dirac's principle of mathematical beauty and the mathematics of harmony : clarifying the origins and development of mathematics Appendix : Museum of harmony and the golden section.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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: hard | 理系図3F 数理独自 | STAK/20/1 | 2009 |
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023212009005062 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. 661-674) and index |
|---|---|
| 著者標目 | *Stakhov, A. P. (Alekseĭ Petrovich) Olsen, Scott Anthony |
| 件 名 | LCSH:Fibonacci numbers LCSH:Golden section LCSH:Mathematics -- History 全ての件名で検索 LCSH:Computer science |
| 分 類 | LCC:QA246.5 DC22:512.7/2 |
| 書誌ID | 1001392012 |
| ISBN | 9789812775825 |
| NCID | BA91750517 |
| 巻冊次 | : hard ; ISBN:9789812775825 ; XISBN:981277582X |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |