Items related to Golden Ratio And Fibonacci Numbers, The
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.
"synopsis" may belong to another edition of this title.
Synopsis
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. In addition, the generation of the Fibonacci series and generalized Finobacci 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, latice 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.
"About this title" may belong to another edition of this title.
- PublisherWorld Scientific Publishing Co Pte Ltd
- Publication date1997
- ISBN 10 9810232640
- ISBN 13 9789810232641
- BindingHardcover
- LanguageEnglish
- Number of pages172
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The Golden Ratio and Fibonacci Numbers
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World Scientific Publishing, 1999
ISBN 10: 9810232640
ISBN 13: 9789810232641
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The Golden Ratio and Fibonacci Numbers
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The Golden Ratio and Fibonacci Numbers
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GOLDEN RATIO AND FIBONACCI NUMBERS, THE
Published by
World Scientific Pub Co Inc, 1997
ISBN 10: 9810232640
ISBN 13: 9789810232641
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THE GOLDEN RATIO AND FIBONACCI NUMBERS
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The Golden Ratio and Fibonacci Numbers
Published by
World Scientific Publishing Company, Incorporated, 1997
ISBN 10: 9810232640
ISBN 13: 9789810232641
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Golden Ratio and Fibonacci Numbers
Published by
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ISBN 10: 9810232640
ISBN 13: 9789810232641
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The Golden Ratio and Fibonacci Numbers
Published by
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ISBN 10: 9810232640
ISBN 13: 9789810232641
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The Golden Ratio and Fibonacci Numbers
Published by
World Scientific Publishing Company, Incorporated, 1997
ISBN 10: 9810232640
ISBN 13: 9789810232641
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The Golden Ratio and Fibonacci Numbers
Published by
World Scientific Publishing Company, Incorporated, 1997
ISBN 10: 9810232640
ISBN 13: 9789810232641
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