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The Fabulous Fibonacci Numbers Alfred S. Posamentier

The Fabulous Fibonacci Numbers By Alfred S. Posamentier

The Fabulous Fibonacci Numbers by Alfred S. Posamentier


$14.39
Condition - Very Good
5 in stock

Summary

The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. This title demonstrates, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples).

The Fabulous Fibonacci Numbers Summary

The Fabulous Fibonacci Numbers by Alfred S. Posamentier

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, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a 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 Pascal'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.

The Fabulous Fibonacci Numbers Reviews

...delightful...accessible to anyone who enjoys or enjoyed high school mathematics. Mathematics teachers from middle school through college will find this book fun to read and useful in the classroom. The authors consider more properties, relationships, and applications of the Fibonacci numbers than most other sources do...I enjoyed reading this book...a valuable addition to the mathematical literature. -- Mathematics Teacher, Vol. 102, No. 1, August 2008

Table of Contents

A History and Introduction to the Fibonacci Numbers; The Fibonacci Numbers in Nature; The Fibonacci Numbers and the Pascal Triangle; The Fibonacci Numbers and the Golden Ratio; The Fibonacci Numbers and Continued Fractions; A Potpourri of Fibonacci Number Applications; The Fibonacci Numbers Found in Art and Architecture; The Fibonacci Numbers and Musical Form; The Famous Binet Formula for Finding a Particular Fibonacci Number; The Fibonacci Numbers and Fractals; Epilogue; Index.

Additional information

GOR005958802
9781591024750
1591024757
The Fabulous Fibonacci Numbers by Alfred S. Posamentier
Used - Very Good
Hardback
Prometheus Books
20070530
392
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

Customer Reviews - The Fabulous Fibonacci Numbers