Screen LibraryFibonacci and Lucas numbers with applications
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| Literature type: | Electronic eBook |
| Language: | English |
| Series: |
Pure and applied mathematics: a Wiley-Interscience series of texts, monographs, and tracts
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| Online Access: |
http://onlinelibrary.wiley.com/book/10.1002/9781118033067 |
| Item Description: | "A Wiley-Interscience publication." |
| Carrier Form: | 1 online resource (xvi, 652 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 562-576) and index. |
| ISBN: |
9781118033067 (electronic bk.) 111803306X (electronic bk.) 9781118031315 (electronic bk.) 1118031318 (electronic bk.) |
| Index Number: | QA246 |
| CLC: | O156.1 |
| Contents: |
Front Matter -- Leonardo Fibonacci -- The Rabbit Problem -- Fibonacci Numbers in Nature -- Fibonacci Numbers: Additional Occurrences -- Fibonacci and Lucas Identities -- Geometric Paradoxes -- Generalized Fibonacci Numbers -- Additional Fibonacci and Lucas Formulas -- The Euclidean Algorithm -- Solving Recurrence Relations -- Completeness Theorems -- Pascal's Triangle -- Pascal-Like Triangles -- Additional Pascal-Like Triangles -- Hosoya's Triangle -- Divisibility Properties -- Generalized Fibonacci Numbers Revisited -- Generating Functions -- Generating Functions Revisited -- The Golden Rat Leonardo Fibonacci -- The Rabbit Problem -- Fibonacci Numbers in Nature -- Fibonacci Numbers: Additional Occurrences -- Fibonacci and Lucas Identities -- Geometric Paradoxes -- Generalized Fibonacci Numbers -- Additional Fibonacci and Lucas Formulas -- The Euclidean Algorithm -- Solving Recurrence Relations -- Completeness Theorems -- Pascal's Triangle -- Pascal-Like Triangles -- Additional Pascal-Like Triangles -- Hosoya's Triangle -- Divisibility Properties -- Generalized Fibonacci Numbers Revisited -- Generating Functions -- Generating Functions Revisited -- The Golden |