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1. |
Record Nr. |
UNINA9910576501303321 |
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Autore |
Verbeek, Marno |
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Titolo |
A guide to modern econometrics / Marno Verbeek |
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Pubbl/distr/stampa |
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Hoboken, : Wiley Custom, 2017 |
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ISBN |
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Edizione |
[5th ed.] |
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Descrizione fisica |
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Disciplina |
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Locazione |
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Collocazione |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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2. |
Record Nr. |
UNINA9910815528203321 |
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Autore |
Thiselton Anthony C. |
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Titolo |
A shorter guide to the Holy Spirit : Bible, doctrine, experience / / Anthony C. Thiselton |
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Pubbl/distr/stampa |
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Grand Rapids, Michigan : , : William B. Eerdmans Publishing Company, , 2016 |
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ISBN |
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Descrizione fisica |
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1 online resource (x, 228 pages) |
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Collana |
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Disciplina |
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Soggetti |
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Holy Spirit |
Holy Spirit - Biblical teaching |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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pt. 1. The Spirit in the biblical writings -- pt. 2. Doctrinal themes -- pt. |
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3. Experience and global origins and current issues among Pentecostals. |
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Sommario/riassunto |
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This volume provides discussions and offers thoughtful reflections on the global church, including a summary of biblical texts on the Holy Spirit. |
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3. |
Record Nr. |
UNINA9910830730303321 |
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Autore |
Koshy Thomas |
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Titolo |
Fibonacci and Lucas numbers with applications / / Thomas Koshy |
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Pubbl/distr/stampa |
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New York, New York : , : John Wiley & Sons, Inc., , 2001 |
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©2001 |
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ISBN |
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1-283-33204-3 |
9786613332042 |
1-118-03306-X |
1-118-03131-8 |
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Descrizione fisica |
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1 online resource (676 p.) |
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Collana |
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Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts |
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Disciplina |
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Soggetti |
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Fibonacci numbers |
Lucas numbers |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"A Wiley-Interscience Publication." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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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 |
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Sommario/riassunto |
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The first comprehensive survey of mathematics' most fascinating number sequencesFibonacci and Lucas numbers have intrigued amateur and professional mathematicians for centuries. This volume represents the first attempt to compile a definitive history and authoritative analysis of these famous integer sequences, complete with a wealth of exciting applications, enlightening examples, and fun exercises that offer numerous opportunities for exploration and experimentation.The author has assembled a myriad of fascinating properties of both Fibonacci and Lucas numbers-as developed by a wide |
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