The Fabulous Fibonacci Numbers

The Fabulous Fibonacci Numbers

Hardback

By (author) Alfred S. Posamentier, By (author) Ingmar Lehmann

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  • Publisher: Prometheus Books
  • Format: Hardback | 385 pages
  • Dimensions: 155mm x 231mm x 33mm | 590g
  • Publication date: 1 June 2007
  • Publication City/Country: Amherst
  • ISBN 10: 1591024757
  • ISBN 13: 9781591024750
  • Illustrations note: b/w illus
  • Sales rank: 117,691

Product description

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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Author information

Alfred S. Posamentier is dean of the School of Education and professor of mathematics education at Mercy College in Dobbs Ferry, New York. Previously, he had the same positions at the City College of the City University of New York for forty years. He has published over fifty-five books in the area of mathematics and mathematics education, including " Pi: A Biography of the World's Most Mysterious Number "(with Ingmar Lehmann). Ingmar Lehmann is retired from the mathematics faculty at Humboldt University in Berlin. For many years he led the Berlin Mathematics Student Society for gifted secondary-school students, with which he is still closely engaged today. He is the coauthor with Alfred S. Posamentier of "The Secrets of Triangles," "The Glorious Golden Ratio," and three other books.

Review quote

"This is a wonderful introduction...You may end up amazed and incredulous." - Leon M. Lederman, Nobel Laureate

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.