TY  - BOOK
AU  - Koshy,Thomas
ED  - Wiley InterScience (Online service)
TI  - Fibonacci and Lucas numbers with applications
T2  - Pure and applied mathematics: a Wiley-Interscience series of texts, monographs, and tracts
SN  - 9781118033067
AV  - QA246.5 .K67 2001
PY  - 2001///]
CY  - New York
PB  - Wiley
KW  - Fibonacci numbers
KW  - Lucas numbers
KW  - Fibonacci, Suites de
KW  - Lucas, Suites de
KW  - MATHEMATICS
KW  - Number Theory
KW  - bisacsh
KW  - fast
KW  - Fibonacci, Suite de
KW  - ram
KW  - Electronic books
N1  - "A Wiley-Interscience publication."; Includes bibliographical references (pages 562-576) and index; 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 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; -- 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; -- Fundamentals; -- The First 100 Fibonacci and Lucas Numbers; -- The First 100 Fibonacci Numbers and Their Prime Factorizations; -- The First 100 Lucas Numbers and Their Prime Factorizations; -- References; -- Solutions to Odd-Numbered Exercises; -- Index; -- Pure and Applied Mathematics; 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 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 --; 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 --; The First 100 Fibonacci and Lucas Numbers --; The First 100 Fibonacci Numbers and Their Prime Factorizations --; The First 100 Lucas Numbers and Their Prime Factorizations
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