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Fibonacci and Lucas numbers with applications

Author: Thomas Koshy
Publisher: New York : Wiley, ©2001.
Series: Pure and applied mathematics (John Wiley & Sons : Unnumbered)
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Koshy, Thomas.
Fibonacci and Lucas numbers with applications.
New York : Wiley, ©2001
(DLC) 2001017506
(OCoLC)45799268
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Thomas Koshy
ISBN: 9781118742327 111874232X
OCLC Number: 1015310372
Notes: "A Wiley-Interscience publication."
Description: 1 online resource (xvi, 652 pages) : illustrations.
Contents: 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.
Series Title: Pure and applied mathematics (John Wiley & Sons : Unnumbered)
Responsibility: Thomas Koshy.
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