UID:
almafu_9959328430702883
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.
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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
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