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by Steven Vajda
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ISBN: 0486462765 Dover Publications Price: $12.95 |
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This text for advanced undergraduates and graduate students surveys the use of Fibonacci and Lucas numbers in areas relevant to operational research, statistics, and computational mathematics. It also covers geometric topics related to the ancient principle known as the Golden Section, plus Meta-Fibonacci numbers and Platonic solids. 1989 edition.
Reprint of the Ellis Horwood Ltd., Chichester, England, 1989 edition.
Table of Contents for Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications
| Preface | |||||||
| Introduction | |||||||
| Background | |||||||
| Relationships | |||||||
| Fibonacci numbers and the Golden Section | |||||||
| Fibonacci Series | |||||||
| Divisibility properties | |||||||
| Congruences and uniformity | |||||||
| Continued fractions and convergents | |||||||
| Fibonacci representation | |||||||
| Search and games | |||||||
| Hyperbolic functions and Fibonacci numbers | |||||||
| Meta-Fibonacci sequences (a letter from B. W. Conolly) | |||||||
| The Golden Section in the plane | |||||||
| The Golden Section in three-dimensional space | |||||||
| Appendix | |||||||
| List of formulae | |||||||
| References | |||||||
| Table of Fn and Ln and their prime factors | |||||||
| Index |