The mathematics of harmony from Euclid to contemporary mathematics and computer science
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...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Hackensack, NJ u.a.
World Scientific
2009
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| Schriftenreihe: | Series on knots and everything
22 |
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| Online Zugang: | Inhaltsverzeichnis Inhaltstext |
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Tag hinzufügen | Zusammenfassung: | 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 |
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| Beschreibung: | Literaturverz. S. 661 - 674 |
| Beschreibung: | XLIX, 694 S. Ill., graph. Darst. |
| ISBN: | 981277582X 981-277-582-X 9789812775825 978-981-277-582-5 |