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The Fabulous Fibonacci Numbers

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The Fabulous Fibonacci Numbers Cover

 

Synopses & Reviews

Publisher Comments:


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 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.

Book News Annotation:

Far from being obscure and the toy solely of the mathematical, Fibonacci sequences are found in natural structures such as the arrangement of seeds on a pine cone and the branches of certain plant stems. Posamentier (mathematics education, City U. of New York) and Lehman (mathematics, Humboldt U. in Berlin) fully explore this fascinating phenomenon, starting with its discover and taking it to the golden rectangle, music, and art as well as its many applications in nature. They keep the mathematically challenged in mind, and their text is both lively and accessible without talking down to readers. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

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 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.

About the Author

Alfred S. Posamentier (River Vale, NJ) is the dean of the School of Education and professor of mathematics education at Mercy College in Dobbs Ferry, NY. He has published over fifty books in the area of mathematics and mathematics education, including The Pythagorean Theorem; Math Charmers; and (with Ingmar Lehmann) The Glorious Golden Ratio; Mathematical Amazements and Surprises; The Fabulous Fibonacci Numbers; and Pi: A Biography of the World's Most Mysterious Number.

Ingmar Lehmann (Berlin, Germany) is on the mathematics faculty at Humboldt University in Berlin. He also heads the Berlin Mathematics Student Society for gifted secondary school students. A prolific author of books on mathematics and mathematics education, he is the coauthor with Alfred S. Posamentier of The Glorious Golden Ratio; Mathematical Amazements and Surprises; The Fabulous Fibonacci Numbers; and Pi: A Biography of the World's Most Mysterious Number.

Product Details

ISBN:
9781591024750
Author:
Alfred S. Posamentier and Ingmar Lehmann
Publisher:
Prometheus Books
With:
Lehmann, Ingmar
Author:
Lehmann, Ingmar
Author:
Posamentier, Alfred S.
Subject:
Number Theory
Subject:
Fibonacci numbers
Subject:
Mathematics-Number Theory
Subject:
Algebra - General
Copyright:
Publication Date:
May 2007
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
364
Dimensions:
9.29 x 6.3 x 1 in 1.4156 lb

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Related Subjects

Health and Self-Help » Health and Medicine » General
Health and Self-Help » Health and Medicine » General Medicine
Humanities » Philosophy » General
Reference » Science Reference » General
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The Fabulous Fibonacci Numbers Used Hardcover
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Product details 364 pages Prometheus Books - English 9781591024750 Reviews:
"Synopsis" by , 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 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.
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