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The Golden Ratio and Fibonacci Numbers [Hardcover]

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Item description for The Golden Ratio and Fibonacci Numbers by R. A. Dunlap...

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.

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Item Specifications...

Studio: World Scientific Publishing Company
Pages   162
Est. Packaging Dimensions:   Length: 0.5" Width: 6.75" Height: 8.75"
Weight:   0.8 lbs.
Binding  Hardcover
Publisher   World Scientific Publishing Company
ISBN  9810232640  
ISBN13  9789810232641  

Availability  0 units.

More About R. A. Dunlap

Register your artisan biography and upload your photo! Dalhousie Univ. Canada

R. A. Dunlap has an academic affiliation as follows - Dalhousie University, Halifax, Nova Scotia.

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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Number Theory
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > Applied
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
7Books > Subjects > Science > Mathematics > Geometry & Topology
8Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > General
9Books > Subjects > Science > Mathematics > Pure Mathematics > Number Theory

Reviews - What do customers think about The Golden Ratio and Fibonacci Numbers?

The definitive book on the subject  Feb 2, 2006
This book is not absolutely perfect, but it is so much better than any other one on the subject that it deserves a 5-star rating. The majority of books on Fibonacci numbers and the golden ratio fall into three categories: (1) Books for children, (2) Mystical mumbo-jumbo, and (3) Books claiming you can use Fibonacci numbers to win in the stock market (!). Even Mario Livio's book, which is better than most, uses so much of its space to _debunk_ some of the mystical mumbo-jumbo that it de-emphasizes the wonderful patterns that can be found in the Fibonacci sequence, which is beautiful enough in its mathematical properties that one doesn't need to make such digressions. Dunlap's book, by contrast, _does_ emphasize those patterns. And when it's not directly addressing the Fibonacci sequence's properties, it's discussing things like the golden ratio and Penrose tilings, which are completely within the category of mathematics related to the topic.

I really enjoyed the book, even though it has some typographical errors and minor omissions. The formulas collected in the third appendix alone justify buying the book. I could wish that there were more given, but this is the best collection I have seen.
It's the Beauty of Mathematics  Sep 23, 2000
Well, I have studied these numbers and other fascinating phenomena in mathematics, and I never found it enough. So, every book I read about this stuff I found a new set of new things, or at least a new view/review of the old things I knew. After my short study (7 years now) in the field of Number theory and Related topics, I dare say, that this book was another addition to my knowledge that -thanks GOD- I didn't waste.

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