Fibonacci and Lucas Numbers
Verner E. Hoggatt, Jr.
First published 1969 by Houghton Mifflin Company.
Copyright reverted to the author in 1979, and the Fibonacci Association
was granted permission to publish this book.
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About This Book and the Author
 
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2. Rabbits, Fibonacci Numbers, and Lucas Numbers
 2 
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3. The Golden Section and the Fibonacci Quadratic Equation
 9 
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4. Some Geometry Related to the Golden Section
 14 
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5. Some Fibonacci Algebra
 26 
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6. Shortcuts to Large F_{n} and L_{n}
 30 
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7. Divisibility Properties of the Fibonacci and Lucas Numbers
 37 
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8. Periodicity of the Fibonacci and Lucas Numbers
 42 
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9. Pascal's Triangle and the Fibonacci Numbers
 48 
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10. Selected Identities Involving the Fibonacci and Lucas Numbers
 52 
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11. TwobyTwo Matrices Related to the Fibonacci Numbers
 62 
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12. Representation Theorems
 69 
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13. Fibonacci Numbers in Nature
 79 
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A List of the First 100 Fibonacci and Lucas Numbers
 83 
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