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Fibonacci and Lucas numbers with applications / / Thomas Koshy
| Fibonacci and Lucas numbers with applications / / Thomas Koshy |
| Autore | Koshy Thomas |
| Pubbl/distr/stampa | New York, New York : , : John Wiley & Sons, Inc., , 2001 |
| Descrizione fisica | 1 online resource (676 p.) |
| Disciplina | 512.72 |
| Collana | Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts |
| Soggetto topico |
Fibonacci numbers
Lucas numbers |
| ISBN |
1-283-33204-3
9786613332042 1-118-03306-X 1-118-03131-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Fibonacci and Lucas Numbers with Applications; CONTENTS; Preface; List of Symbols; 1. Leonardo Fibonacci; 2. The Rabbit Problem; 3. Fibonacci Numbers in Nature; 4. Fibonacci Numbers: Additional Occurrences; 5. Fibonacci and Lucas Identities; 6. Geometric Paradoxes; 7. Generalized Fibonacci Numbers; 8. Additional Fibonacci and Lucas Formulas; 9. The Euclidean Algorithm; 10. Solving Recurrence Relations; 11. Completeness Theorems; 12. Pascal's Triangle; 13. Pascal-Like Triangles; 14. Additional Pascal-Like Triangles; 15. Hosoya's Triangle; 16. Divisibility Properties
17. Generalized Fibonacci Numbers Revisited18. Generating Functions; 19. Generating Functions Revisited; 20. The Golden Ratio; 21. The Golden Ratio Revisited; 22. Golden Triangles; 23. Golden Rectangles; 24. Fibonacci Geometry; 25. Regular Pentagons; 26. The Golden Ellipse and Hyperbola; 27. Continued Fractions; 28. Weighted Fibonacci and Lucas Sums; 29. Fibonacci and Lucas Sums Revisited; 30. The Knapsack Problem; 31. Fibonacci Magic Squares; 32. Fibonacci Matrices; 33. Fibonacci Determinants; 34. Fibonacci and Lucas Congruences; 35. Fibonacci and Lucas Periodicity 36. Fibonacci and Lucas Series37. Fibonacci Polynomials; 38. Lucas Polynomials; 39. Jacobsthal Polynomials; 40. Zeros of Fibonacci and Lucas Polynomials; 41. Morgan-Voyce Polynomials; 42. Fibonometry; 43. Fibonacci and Lucas Subscripts; 44. Gaussian Fibonacci and Lucas Numbers; 45. Analytic Extensions; 46. Tribonacci Numbers; 47. Tribonacci Polynomials; Appendix; A.1. Fundamentals; A.2. The First 100 Fibonacci and Lucas Numbers; A.3. The First 100 Fibonacci Numbers and Their Prime Factorizations; A.4. The First 100 Lucas Numbers and Their Prime Factorizations; References Solutions to Odd-Numbered ExercisesIndex |
| Record Nr. | UNINA-9910141196603321 |
Koshy Thomas
|
||
| New York, New York : , : John Wiley & Sons, Inc., , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fibonacci and Lucas numbers with applications / / Thomas Koshy
| Fibonacci and Lucas numbers with applications / / Thomas Koshy |
| Autore | Koshy Thomas |
| Pubbl/distr/stampa | New York, New York : , : John Wiley & Sons, Inc., , 2001 |
| Descrizione fisica | 1 online resource (676 p.) |
| Disciplina | 512.72 |
| Collana | Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts |
| Soggetto topico |
Fibonacci numbers
Lucas numbers |
| ISBN |
1-283-33204-3
9786613332042 1-118-03306-X 1-118-03131-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Fibonacci and Lucas Numbers with Applications; CONTENTS; Preface; List of Symbols; 1. Leonardo Fibonacci; 2. The Rabbit Problem; 3. Fibonacci Numbers in Nature; 4. Fibonacci Numbers: Additional Occurrences; 5. Fibonacci and Lucas Identities; 6. Geometric Paradoxes; 7. Generalized Fibonacci Numbers; 8. Additional Fibonacci and Lucas Formulas; 9. The Euclidean Algorithm; 10. Solving Recurrence Relations; 11. Completeness Theorems; 12. Pascal's Triangle; 13. Pascal-Like Triangles; 14. Additional Pascal-Like Triangles; 15. Hosoya's Triangle; 16. Divisibility Properties
17. Generalized Fibonacci Numbers Revisited18. Generating Functions; 19. Generating Functions Revisited; 20. The Golden Ratio; 21. The Golden Ratio Revisited; 22. Golden Triangles; 23. Golden Rectangles; 24. Fibonacci Geometry; 25. Regular Pentagons; 26. The Golden Ellipse and Hyperbola; 27. Continued Fractions; 28. Weighted Fibonacci and Lucas Sums; 29. Fibonacci and Lucas Sums Revisited; 30. The Knapsack Problem; 31. Fibonacci Magic Squares; 32. Fibonacci Matrices; 33. Fibonacci Determinants; 34. Fibonacci and Lucas Congruences; 35. Fibonacci and Lucas Periodicity 36. Fibonacci and Lucas Series37. Fibonacci Polynomials; 38. Lucas Polynomials; 39. Jacobsthal Polynomials; 40. Zeros of Fibonacci and Lucas Polynomials; 41. Morgan-Voyce Polynomials; 42. Fibonometry; 43. Fibonacci and Lucas Subscripts; 44. Gaussian Fibonacci and Lucas Numbers; 45. Analytic Extensions; 46. Tribonacci Numbers; 47. Tribonacci Polynomials; Appendix; A.1. Fundamentals; A.2. The First 100 Fibonacci and Lucas Numbers; A.3. The First 100 Fibonacci Numbers and Their Prime Factorizations; A.4. The First 100 Lucas Numbers and Their Prime Factorizations; References Solutions to Odd-Numbered ExercisesIndex |
| Record Nr. | UNINA-9910830730303321 |
|
Koshy Thomas
|
||
| New York, New York : , : John Wiley & Sons, Inc., , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fibonacci and Lucas Numbers With Applications
| Fibonacci and Lucas Numbers With Applications |
| Autore | Koshy Thomas |
| Pubbl/distr/stampa | John Wiley & Sons, Inc |
| ISBN |
1-118-74214-1
1-118-74229-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910467855303321 |
|
Koshy Thomas
|
||
| John Wiley & Sons, Inc | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Pell and Pell–Lucas Numbers with Applications [[electronic resource] /] / by Thomas Koshy
| Pell and Pell–Lucas Numbers with Applications [[electronic resource] /] / by Thomas Koshy |
| Autore | Koshy Thomas |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (XXIII, 431 p. 139 illus., 1 illus. in color.) |
| Disciplina | 512.72 |
| Soggetto topico |
Number theory
Mathematical logic Mathematics History Number Theory Mathematical Logic and Foundations History of Mathematical Sciences |
| ISBN | 1-4614-8489-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- List of Symbols -- Abbreviations -- 1. Fundamentals -- 2. Pell’s Equation -- 3. Continued Fractions -- 4. Pythagorean Triples -- 5. Triangular Numbers -- 6. Square-Triangular Numbers -- 7. Pell and Pell-Lucas Numbers -- 8. Additional Pell Identities -- 9. Pascal’s Triangle and the Pell Family -- 10. Pell Sums and Products -- 11. Generating Functions for the Pell Family -- 12. Pell Walks -- 13. Pell Triangles. - 14. Pell and Pell-Lucas Polynomials -- 15. Pellonometry -- 16. Pell Tilings -- 17. Pell-Fibonacci Bridges -- 18. An Extended Pell Family -- 19. Chebyshev Polynomials -- 20. Chebyshev Tilings -- Appendix -- References -- Index. |
| Record Nr. | UNINA-9910299987703321 |
|
Koshy Thomas
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
