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Fibonacci and Lucas numbers with applications [electronic resource] / Thomas Koshy.

Yazar: Katkıda bulunan(lar):Seri kaydı: Pure and applied mathematics (John Wiley & Sons : Unnumbered)Yayıncı: New York : Wiley, [2001]Telif hakkı tarihi:©2001Tanım: 1 online resource (xvi, 652 pages) : illustrationsİçerik türü:
  • text
Ortam türü:
  • computer
Taşıyıcı türü:
  • online resource
ISBN:
  • 9781118033067
  • 111803306X
  • 9781118031315
  • 1118031318
Konu(lar): Tür/Form:Ek fiziksel biçimler:Print version:: Fibonacci and Lucas numbers with applications.DDC sınıflandırma:
  • 22
LOC sınıflandırması:
  • QA246.5 .K67 2001
Çevrimiçi kaynaklar:
İçindekiler:
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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Elektronik Kitap Elektronik Kitap Mehmet Akif Ersoy Merkez Kütüphanesi Dijital içerik Non-fiction E-KİTAP (Rafa gözat(Aşağıda açılır)) Çevrimiçi Kaynak EK697
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"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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