Golden Ratio And Fibonacci Numbers, The

Golden Ratio And Fibonacci Numbers, The

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Résumé

In this text, 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. Fibonacci series and generalized Finobacci series and their relationship to the golden ratio are also presented.

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Golden Ratio And Fibonacci Numbers, The by Richard A Dunlap

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.

Richard A Dunlap graduated from Worcester Polytechnic Institute with a BS in Physics, Dartmouth College with an AM in Physics, and Clark University with a PhD in Physics. He is currently employed as a Research Professor at Dalhousie University's Department of Physics and Atmospheric Science. Experimental Physics: Modern Approaches, The Golden Ratio and Fibonacci Numbers, An Introduction to the Physics of Nuclei and Particles, Sustainable Energy, Innovative Microstructures for Solids, Particle Physics, and The Mössbauer Effect are some of his past publications.

SKU Non disponible
ISBN 13 9789810232641
ISBN 10 9810232640
Titre Golden Ratio And Fibonacci Numbers, The
Auteur Richard A Dunlap
État Non disponible
Type de reliure Hardback
Éditeur World Scientific Publishing Co Pte Ltd
Année de publication 1997-12-17
Nombre de pages 172
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible