GOLDEN RATIO AND FIBONACCI NUMBERS, THE

Dunlap R A

ISBN 10: 9810232640 / ISBN 13: 9789810232641

Published by World Scientific Pub Co Inc, 1997

About this Item

Fast Free Shipping â Very Good condition book with a firm cover and clean pages. Shows normal use and some light wear or limited notes markings. A solid, nice copy to enjoy.

Seller Inventory # GWV.9810232640.VG

Bibliographic Details

• Title: GOLDEN RATIO AND FIBONACCI NUMBERS, THE
• Publisher: World Scientific Pub Co Inc
• Publication Date: 1997
• Language: English
• ISBN 10: 9810232640
• ISBN 13: 9789810232641
• Binding: Hardcover
• Condition: very_good

About this title

Synopsis

"This attractive and carefully written book addresses the general reader with interest in mathematics and its application to the physical and biological sciences ... this one will make a valuable addition to academic and personal libraries."

The Fibonacci Quarterly

In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.