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The Fabulous Fibonacci Numbers


  


 : The Fabulous Fibonacci Numbers

List Price: $28.98
Amazon.com's Price: $19.13
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Binding: Hardcover
Dewey Decimal Number: 512.72
EAN: 9781591024750
Edition: First
ISBN: 1591024757
Label: Prometheus Books
Manufacturer: Prometheus Books
Number Of Items: 1
Number Of Pages: 364
Publication Date: June 21, 2007
Publisher: Prometheus Books
Studio: Prometheus Books




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Editorial Review:

Product Description:
The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature—from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world.

With admirable clarity, math educators Alfred Posamentier and Ingmar Lehmann take us on a fascinating tour of the many ramifications of the Fibonacci numbers. The authors begin with a brief history of their distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and PascalÂ’s triangle, to name a few. Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.



Customer Reviews
Average Rating:  out of 5 stars

Rating: 1 out of 5 stars - The good, and the bad
There is a lot of good information here, where the maths is standard.
Unfortunately the book is very sloppily written and badly edited.
Some ideas are well referenced, but others are not attributed, like the Odom construction from the equilateral triangle in a circle.
It contains lots of errors and the usual extrapolations that are not valid.
For example, the nautilus shell is said to be golden section without any proof (it has nothing to do with the GS) and the cover perpetuates ... Read More



Rating: 5 out of 5 stars - Fibonnacci comes alive
A great book. Has everything i would need for a research project plus so much more. The author did a great job.



Rating: 5 out of 5 stars - A fascinating review of the history of the Fibonacci numbers
The most intriguing number pattern in math is the Fibonacci sequence, a pattern which begins with two ones, each succeeding number of which is the sum of the two numbers immediately preceding it. And it's not just a mathematical incongruity, but occurs throughout nature itself, building the case for the mathematical basis of nature itself. Any college-level collection strong in science and nature - and many a public lending library- will find this a fascinating review of the history of the Fibonacci numbers ... Read More



Rating: 2 out of 5 stars - Not so Fabulous
This is a beautifully produced book. The front jacket is amongst the most attractive I have seen and the back cover is dense with quotations from reviews singing its praises, including one from a Nobel Laureate. Oh dear, how we can be deceived by outside appearances! The text contains so many errors, misleading statements and moments of such stupidity that to discuss them all would require a volume about equal in size to the original.
Let me take you through a few examples: -
Page 21. 41/12 is neither ... Read More



Rating: 5 out of 5 stars - A complicated subject presented in a very uncomplicated manner.
The book provides much of the available information on the Fibonacci numbers. It starts with the life of Leonardo da Pisa, the man who first introduced the numbers to the world almost a thousand years ago. It describes the actual sequence, then demonstrates the connection that the numbers have to the natural, as well as to the world of the visual arts and of music. Even the stock market is not immune of the influence of the Fibonacci sequence.
What particularly impressed me about this book is the clarity ... Read More




 



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