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.
You may download the
entire volume (size: 37Mb) for free, or individual sections below.
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About This Book and the Author
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2. Rabbits, Fibonacci Numbers, and Lucas Numbers
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3. The Golden Section and the Fibonacci Quadratic Equation
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4. Some Geometry Related to the Golden Section
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5. Some Fibonacci Algebra
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6. Shortcuts to Large Fn and Ln
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7. Divisibility Properties of the Fibonacci and Lucas Numbers
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8. Periodicity of the Fibonacci and Lucas Numbers
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9. Pascal's Triangle and the Fibonacci Numbers
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10. Selected Identities Involving the Fibonacci and Lucas Numbers
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11. Two-by-Two Matrices Related to the Fibonacci Numbers
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12. Representation Theorems
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13. Fibonacci Numbers in Nature
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A List of the First 100 Fibonacci and Lucas Numbers
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