GOLDEN RATIO & FIBONACCI NUMBERS,THE - Hardcover

Dunlap R A

 
9789810232641: GOLDEN RATIO & FIBONACCI NUMBERS,THE
Hardcover
ISBN 10: 9810232640 ISBN 13: 9789810232641
Verlag: World Scientific, 1998

Inhaltsangabe

"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.

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Verlag
World Scientific
Erscheinungsdatum
1998
Sprache
Englisch
ISBN 10 
9810232640
ISBN 13 
9789810232641
Einband
Gebundene Ausgabe
Anzahl der Seiten
172
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
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Deutschland