| 000 | 01100camuu22003014a 4500 | |
| 001 | 000000798145 | |
| 005 | 20030305094121 | |
| 008 | 010104s2001 nyua b 001 0 eng | |
| 010 | ▼a ?01017506 | |
| 020 | ▼a 0471399698 (cloth : alk. paper) | |
| 040 | ▼a DLC ▼c DLC ▼d UKM ▼d C#P ▼d 211009 | |
| 042 | ▼a pcc | |
| 049 | 1 | ▼l 111228911 |
| 050 | 0 0 | ▼a QA246.5 ▼b .K67 2001 |
| 082 | 0 0 | ▼a 512/.72 ▼2 21 |
| 090 | ▼a 512.72 ▼b K86f | |
| 100 | 1 | ▼a Koshy, Thomas. |
| 245 | 1 0 | ▼a Fibonacci and Lucas numbers with applications / ▼c Thomas Koshy. |
| 260 | ▼a New York : ▼b Wiley, ▼c c2001. | |
| 300 | ▼a xvi, 652 p. : ▼b ill. ; ▼c 25 cm. | |
| 490 | 1 | ▼a Pure and applied mathematics: a Wiley-Interscience series of texts, monographs, and tracts |
| 500 | ▼a "A Wiley-Interscience publication." | |
| 504 | ▼a Includes bibliographical references (p. 562-576) and index. | |
| 650 | 0 | ▼a Fibonacci numbers. |
| 650 | 0 | ▼a Lucas numbers. |
| 830 | 0 | ▼a Pure and applied mathematics (John Wiley Sons : Unnumbered) |
Holdings Information
| No. | Location | Call Number | Accession No. | Availability | Due Date | Make a Reservation | Service |
|---|---|---|---|---|---|---|---|
| No. 1 | Location Main Library/Western Books/ | Call Number 512.72 K86f | Accession No. 111228911 | Availability Available | Due Date | Make a Reservation | Service |
| No. 2 | Location Science & Engineering Library/Sci-Info(Stacks2)/ | Call Number 512.72 K86f | Accession No. 521007488 | Availability Processing | Due Date | Make a Reservation Available for Reserve | Service |
| No. 3 | Location Sejong Academic Information Center/Science & Technology/ | Call Number 512.72 K86f | Accession No. 151129420 | Availability Available | Due Date | Make a Reservation | Service |
| No. | Location | Call Number | Accession No. | Availability | Due Date | Make a Reservation | Service |
|---|---|---|---|---|---|---|---|
| No. 1 | Location Main Library/Western Books/ | Call Number 512.72 K86f | Accession No. 111228911 | Availability Available | Due Date | Make a Reservation | Service |
| No. | Location | Call Number | Accession No. | Availability | Due Date | Make a Reservation | Service |
|---|---|---|---|---|---|---|---|
| No. 1 | Location Science & Engineering Library/Sci-Info(Stacks2)/ | Call Number 512.72 K86f | Accession No. 521007488 | Availability Processing | Due Date | Make a Reservation Available for Reserve | Service |
| No. | Location | Call Number | Accession No. | Availability | Due Date | Make a Reservation | Service |
|---|---|---|---|---|---|---|---|
| No. 1 | Location Sejong Academic Information Center/Science & Technology/ | Call Number 512.72 K86f | Accession No. 151129420 | Availability Available | Due Date | Make a Reservation | Service |
Contents information
Table of Contents
Preface.
List of Symbols.
Leonardo Fibonacci.
The Rabbit Problem.
Fibonacci Numbers in Nature.
Fibonacci Numbers: Additional Occurrances.
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 Ratio.
The Golden Ratio Revisited.
Golden Triangles.
Golden Rectangles.
Fibonacci Geometry.
Regular Pentagons.
The Golden Ellipse and Hyperbola.
Continued Fractions.
Weighted Fibonacci and Lucas Sums.
Weighted Fibonacci and Lucas Sums Revisited.
The Knapsack Problem.
Fibonacci Magic Squares.
Fibonacci Matrices.
Fibonacci Determinants.
Fibonacci and Lucas Congruences.
Fibonacci and Lucas Periodicity.
Fibonacci and Lucas Series.
Fibonacci Polynomials.
Lucas Polynomials.
Jacobsthal Polynomials.
Zeros of Fibonacci and Lucas Polynomials.
Morgan-Voyce Polynomials.
Fibonometry.
Fibonacci and Lucas Subscripts.
Gaussian Fibonacci and Lucas Numbers.
Analytic Extensions.
Tribonacci Numbers.
Tribonacci Polynomials. Appendix 1: Fundamentals.
Appendix 2: The First 100 Fibonacci and Lucas Numbers.
Appendix 3: The First 100 Fibonacci Numbers and Their Prime Factorizations.
Appendix 4: The First 100 Lucas Numbers and Their Prime Factorizations.
References.
Solutions to Odd-Numbered Exercises.
Index.
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