Fibonacci and Lucas numbers with applications / Thomas Koshy |
Autore | KOSHY, Thomas |
Pubbl/distr/stampa | New York, : John Wiley & Sons, Inc., 2001 |
Descrizione fisica | Testo elettronico (PDF) (XVII, 654 p.) |
Disciplina | 512.72 |
Collana | Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts |
Soggetto topico | Numeri di Fibonacci |
ISBN | 9781118033067 |
Formato | Risorse elettroniche |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996451650003316 |
KOSHY, Thomas | ||
New York, : John Wiley & Sons, Inc., 2001 | ||
Risorse elettroniche | ||
Lo trovi qui: Univ. di Salerno | ||
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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 |
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 | ||
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Fibonacci numbers / Nicolai N. Vorobiev ; translated from the Russian by Mircea Martin |
Autore | Vorobiev, Nicolai Nicolaevich |
Pubbl/distr/stampa | Basel : Birkhäuser Verlag, c2002 |
Descrizione fisica | ix, 176 p. : ill. ; 24 cm |
Disciplina | 512.72 |
Soggetto topico | Fibonacci numbers |
ISBN | 3764361352 |
Classificazione |
AMS 11B39
LC QA241.V61313 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNISALENTO-991000510139707536 |
Vorobiev, Nicolai Nicolaevich | ||
Basel : Birkhäuser Verlag, c2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Fibonacci numbers and their applications / edited by Andreas N. Philippou, Gerald E. Bergum, Alwyn F. Horadam |
Pubbl/distr/stampa | Dordrecht [etc.] : D. Reidel Publishing Company, c1986 |
Descrizione fisica | XXIV, 304 p. ; 23 cm. |
Disciplina | 512.72 |
Collana | Mathematics and its applications |
Soggetto topico | Numeri - Teoria |
ISBN | 90-277-2234-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNIBAS-000016246 |
Dordrecht [etc.] : D. Reidel Publishing Company, c1986 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. della Basilicata | ||
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The Fibonacci quarterly |
Pubbl/distr/stampa | [Santa Clara, Calif.], : [Fibonacci Association], [1963]- |
Disciplina | 512.72 |
Soggetto topico |
Fibonacci numbers
Mathematics |
Soggetto genere / forma | Periodicals. |
Formato | Materiale a stampa |
Livello bibliografico | Periodico |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910147259303321 |
[Santa Clara, Calif.], : [Fibonacci Association], [1963]- | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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The Fibonacci quarterly |
Pubbl/distr/stampa | [Santa Clara, Calif.], : [Fibonacci Association], [1963]- |
Disciplina | 512.72 |
Soggetto topico |
Fibonacci numbers
Mathematics |
Soggetto genere / forma | Periodicals. |
Formato | Materiale a stampa |
Livello bibliografico | Periodico |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996206386903316 |
[Santa Clara, Calif.], : [Fibonacci Association], [1963]- | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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Foundations of real numbers / Claude W. Burrill |
Autore | Burrill, Claude W. |
Pubbl/distr/stampa | New York : McGraw-Hill, c1967 |
Descrizione fisica | 163 p. ; 23 cm |
Disciplina | 512.72 |
Soggetto topico |
Arithmetic - Foundations
Elementary number theory Real numbers |
Classificazione |
AMS 11-01
AMS 11-XX AMS 11A99 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000907149707536 |
Burrill, Claude W. | ||
New York : McGraw-Hill, c1967 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Frazioni Continue / C.D. Olds |
Autore | Olds, C. D. |
Pubbl/distr/stampa | Bologna : Zanichelli, c1968 |
Descrizione fisica | 174 p. : ill. ; 18 cm |
Disciplina | 512.72 |
Collana | Matematica moderna |
Soggetto non controllato |
Aritmetica
Teoria dei numeri |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNINA-990000834620403321 |
Olds, C. D. | ||
Bologna : Zanichelli, c1968 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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From the Golden Rectangle to the Fibonacci Sequences [[electronic resource] /] / by Opher Liba, Bat-Sheva Ilany |
Autore | Liba Opher |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
Descrizione fisica | 1 online resource (174 pages) |
Disciplina | 512.72 |
Collana | Springer Texts in Education |
Soggetto topico |
Mathematics - Study and teaching
Teachers - Training of Learning, Psychology of Education - Research Mathematics Education Teaching and Teacher Education Learning Theory Research Methods in Education Ensenyament de la matemàtica Nombres de Fibonacci |
Soggetto genere / forma | Llibres electrònics |
ISBN |
9783030976002
9783030975999 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 1 Introduction -- 2 The Golden Rectangle and the Golden Ratio -- 3 Introducing Golden Triangles -- 4 The Fibonacci Sequence -- 5 The Lucas Sequence -- 6 The General Fibonacci-like Sequences -- 7 List of Formulas, Theorems, and Definitions. |
Record Nr. | UNINA-9910720095403321 |
Liba Opher | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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