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The mathematics of harmony : from Euclid to contemporary mathematics and computer science /
This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the "Mathematics of Harmony," a new interdisciplinary directio...
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Autres auteurs: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Singapore ; Hackensack, NJ :
World Scientific,
©2009.
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| Collection: | K & E series on knots and everything ;
v. 22. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- 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.