The mathematics of harmony [electronic resource]
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Assisted by <i>Scott</i> <i>Olsen</i> (<i>Central Florida Community College, USA</i>) 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 direction of modern science. This direction has its origins in "The Elements" of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and
Title |
The mathematics of harmony [electronic resource] : from Euclid to contemporary mathematics and computer science / Alexey Stakhov assisted by Scott Olsen. |
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Publisher |
Singapore Hackensack, NJ : World Scientific |
Creation Date |
c2009 |
Notes |
Description based upon print version of record. Includes bibliographical references and index. English |
Content |
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. |
Series |
K & E series on knots and everything v. 22 |
Extent |
1 online resource (745 p.) |
Language |
English |
National Library system number |
997010704600605171 |
MARC RECORDS
Tags
- Fibonacci numbers.
- Golden section.
- Mathematics History.
- Computer science.
- Informatics
- Math
- Divine proportion (Mathematics)
- Divine section (Mathematics)
- Extreme and mean ratio
- Golden cut
- Golden mean (Mathematics)
- Golden number (Ratio)
- Golden proportion
- Golden ratio
- Mean of Phidias
- Medial section
- Phi ratio
- Phidias, Mean of
- Fibonacci sequence
- Numbers, Fibonacci
- Sequence, Fibonacci
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