The mathematics of harmony
Subtitle: from Euclid to contemporary mathematics and computer science
By: Alexey Stakhov ; assisted by Scott Olsen
Contributors: Olsen, Scott Anthony
Series: K & E series on knots and everything -- v. 22; K & E series on knots and everything -- v. 22.
Publisher: World Scientific
Published: 2009
Place of publication: Singapore; Hackensack, NJ
Language: eng
Number of pages: 694
ISBN-13: 9789812775825
Notes: Includes bibliographical references and index.
Table of contents: title: Three "key" problems of mathematics on the stage of its origin; title: Classical golden mean, Fibonacci numbers, and platonic solids; title: The golden section; title: Fibonacci and Lucas numbers; title: Regular polyhedrons; title: Mathematics of harmony; title: Generalizations of Fibonacci numbers and the golden mean; title: Hyperbolic Fibonacci and Lucas functions; title: Fibonacci and golden matrices; title: Application in computer science; title: Algorithmic measurement theory; title: Fibonacci computers; title: Codes of the golden proportion; title: Ternary mirror-symmetrical arithmetic; title: A new coding theory based on a matrix approach; title: Dirac's principle of mathematical beauty and the mathematics of harmony : clarifying the origins and development of mathematics; title: Appendix : Museum of harmony and the golden section.