The mathematics of harmony : from Euclid to contemporary mathematics and computer science / Alexey Stakhov ; assisted by Scott Olsen.

Format:

Book

Author/Creator:

Stakhov, A. P. (Alekseĭ Petrovich)

Contributor:

Olsen, Scott Anthony.

Series:

K & E series on knots and everything ; v. 22.

K & E series on knots and everything ; v. 22

Language:

English

Subjects (All):

Fibonacci numbers.

Golden section.

Mathematics--History.

Mathematics.

Computer science.

History.

Physical Description:

xlix, 694 pages : illustrations (some color) ; 26 cm.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, [2009]

Summary:

Ukrainian mathematician and engineer Stakhov draws on his four decades of research into Fibonacci numbers and the Golden Section to set out the fundamentals for a new specialty of mathematics, one he believes will eventually revolutionize both the understanding and teaching of mathematics. After reviewing the classical treatments of Golden Mean, Fibonacci numbers, and Platonic solids, he covers the mathematics of harmony and its application in computer science. Among specific topics are regular polyhedrons, hyperbolic Fibonacci and Lucas functions, algorithmic measurement theory, ternary mirror-symmetrical arithmetic, and a new coding theory based on a matrix approach. Several pages of color reproductions illustrate symmetry in nature and art. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)

Notes:

Includes bibliographical references and index.

ISBN:

9789812775825

981277582X

OCLC:

185032768