Fibonacci Numbers

Overview

Fibonacci numbers date back to an 800-year-old problem concerning the number of offspring born in a single year to a pair of rabbits. This book offers the solution and explores the occurrence of Fibonacci numbers in number theory, continued fractions, and geometry. A discussion of the "golden section" rectangle, in which the lengths of the sides can be expressed as a ration of two successive Fibonacci numbers, draws upon attempts by ancient and medieval thinkers to base aesthetic and philosophical principles...

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Fibonacci Numbers

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Overview

Fibonacci numbers date back to an 800-year-old problem concerning the number of offspring born in a single year to a pair of rabbits. This book offers the solution and explores the occurrence of Fibonacci numbers in number theory, continued fractions, and geometry. A discussion of the "golden section" rectangle, in which the lengths of the sides can be expressed as a ration of two successive Fibonacci numbers, draws upon attempts by ancient and medieval thinkers to base aesthetic and philosophical principles on the beauty of these figures. Recreational readers as well as students and teachers will appreciate this light and entertaining treatment of a classic puzzle.

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Product Details

  • ISBN-13: 9780486483863
  • Publisher: Dover Publications
  • Publication date: 9/14/2011
  • Series: Dover Books on Mathematics Series
  • Pages: 80
  • Sales rank: 1,411,214
  • Product dimensions: 5.20 (w) x 8.30 (h) x 0.30 (d)

Table of Contents

Foreword vii

Introduction 1

I The simplest properties of Fibonacci numbers 6

II Number-theoretic properties of Fibonacci numbers 25

III Fibonacci numbers and continued fractions 36

IV Fibonacci numbers and geometry 55

V Conclusion 65

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