Kooperativer Bibliotheksverbund

UID:

Format: 1 online resource (xvi, 652 pages) : , illustrations

Edition: Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010.

ISBN: 9781118033067 , 111803306X , 9781118031315 , 1118031318

Note: 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. , Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

Additional Edition: Print version: Koshy, Thomas. Fibonacci and Lucas numbers with applications. New York : Wiley, ©2001 ISBN 0471399698

Language: English

Subjects: Mathematics

Keywords: Electronic books. ; Electronic books. ; Electronic books. ; Electronic books. ; Electronic books. ; Electronic books. ; Electronic books

URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781118033067

URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781118742327

URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781118742327

URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781118033067

URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781118742327

URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781118033067

URL: lizenzpflichtig

URL: Volltext

URL: Volltext

URL: lizenzpflichtig

URL: lizenzpflichtig

URL: lizenzpflichtig

URL: Autorenbiografie

URL: Verlagsangaben

URL: Inhaltstext

URL: Cover