Fibonacci and Lucas numbers with applications / 6
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Thomas Koshy.
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- 1 online resource (xvi, 652 pages) : illustrations.
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- Pure and applied mathematics: a Wiley-Interscience series of texts, monographs, and tracts .
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- Pure and applied mathematics (John Wiley & Sons : Unnumbered) 0 .
A Wiley-Interscience publication.
Includes bibliographical references (pages 562-576) and index.
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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Fibonacci numbers.;Lucas numbers.;Fibonacci, Suites de.;Lucas, Suites de.;Fibonacci numbers.;Lucas numbers.;Fibonacci, Suite de.;Lucas, Suites de. ----------