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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Stakhov, A. P. (Alekseĭ Petrovich)
Other Authors: Olsen, Scott Anthony
Format: Electronic eBook
Language:Inglés
Published: Singapore ; Hackensack, NJ : World Scientific, ©2009.
Series:K & E series on knots and everything ; v. 22.
Subjects:
Fibonacci numbers.
Golden section.
Mathematics > History.
Computer science.
Electronic Data Processing
Suites de Fibonacci.
Nombre d'or.
Mathématiques > Histoire.
Informatique.
golden section.
MATHEMATICS > Number Theory.
Mathematics.
Goldener Schnitt.
Fibonacci-Folge.
mathematik.
Ästhetik > Mathematik.
Mathematik > Ästhetik.
History.
Online Access:Texto completo
Table of Contents:
  • 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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