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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...

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Bibliographic Details
Main Authors: Stakhov, A. P. Alekse i Petrovich
Corporate Authors: World Scientific Firm
Group Author: Olsen, Scott Anthony
Published: World Scientific Pub. Co.,
Publisher Address: Singapore ; Hackensack, N.J. :
Publication Dates: 2009.
Literature type: eBook
Language: English
Series: K & E series on knots and everything ; v. 22
Subjects:
Fibonacci numbers
Golden section
Mathematics > History
Computer science
Electronic books
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/6635#t=toc
Summary: 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 the generalized golden proportions, the "golden" algebraic equations, the generalized
Carrier Form: 1 online resource (xlix,693pages) : illustrations (some color), ports.
Bibliography: Includes bibliographical references (pages 661-674) and index.
ISBN: 9789812775832 (Electronic bk.)
CLC: O156
Contents: ch. 1. The golden section. 1.1. Geometric definition of the golden section. 1.2. Algebraic properties of the golden mean. 1.3. The algebraic equation of the golden mean. 1.4. The golden rectangles and the golden brick. 1.5. Decagon : connection of the golden mean to the number [symbol]. 1.6. The golden right triangle and the golden ellipse. 1.7. The golden isosceles triangles and pentagon. 1.8. The golden section and the mysteries of Egyptian culture. 1.9. The Golden section in Greek culture. 1.10. The golden section in Renaissance art. 1.11. De Divina proportione by Luca Pacioli. 1.12. A pr

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