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Cover
Contents
Part One: The Fibonacci Numbers
Chapter 1: Historical Background
Chapter 2: The Problem of the Rabbits
Chapter 3: The Recursive Definition
Chapter 4: Properties of the Fibonacci Numbers
Chapter 5: Some Introductory Examples
Chapter 6: Compositions and Palindromes
Chapter 7: Tilings: Divisibility Properties of the Fibonacci Numbers
Chapter 8: Chess Pieces on Chessboards
Chapter 9: Optics, Botany, and the Fibonacci Numbers
Chapter 10: Solving Linear Recurrence Relations: The Binet Form for Fn
Chapter 12: Examples from Graph Theory: An Introduction to the Lucas Numbers