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: 144,803

Product description

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). The authors present the many ramifications of the Fibonacci numbers.

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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 "The mathematics in this book is a delight: surprising, insightful, and comprehensive... the result is by turns rigorous, entertaining, and eye-poppingly speculative." -"New Scientist " ..".a work that, although aimed at a general audience and presupposing no knowledge of mathematics beyond the high school precalculus level, succeeds in entertaining all audiences...Educators, as well as the mathematically curious, are encouraged to pick up this volume. The discussions of Fibonacci numbers in nature, art, architecture, and music are very thorough..."highly recommended."" -"Choice " "The authors have breathed life into what could be considered a fairly dry subject by demonstrating how commonplace items make use of the Fibonacci numbers...there is a great deal of math involved but taken step at a time, it is not that difficult to understand and this understanding leads to a an even greater appreciation of everything from a flower garden to classical music. Overall, this is an interesting if challenging read for the layperson and a gold mine for the mathematically inclined." " -Monsters and Critics " ..".the authors have presented a compelling and well-developed book, and one that might well make converts out of some hard-core math phobics...an elegant book that enhances their argument that mathematics is 'the queen of sciences'." -"Education Update " ..".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." -"Mat

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.