Fibonacci and Lucas numbers with applications /

Fibonacci and Lucas Numbers with Applications, Volume I, Second Edition provides a user-friendly and historical approach to the many fascinating properties of Fibonacci and Lucas numbers, which have intrigued amateurs and professionals for centuries. Offering an in-depth study of the topic, this boo...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Koshy, Thomas
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hoboken, New Jersey : Wiley & Sons, [2018]-
Edición:Second edition.
Colección:Pure and applied mathematics: a Wiley series of texts, monographs, and tracts
Temas:
Fibonacci numbers.
Lucas numbers.
Suites de Fibonacci.
Suites de Lucas.
Fibonacci numbers
Lucas numbers
Acceso en línea:Texto completo

MARC

LEADER 00000cam a2200000Mi 4500
001 EBOOKCENTRAL_on1035799023
003 OCoLC
005 20240329122006.0
006 m o d
007 cr |n|||||||||
008 160415m20189999njua ob 001 0 eng d
010 |a  2016018243  |z  2017057981 
040 |a COO  |b eng  |e rda  |e pn  |c COO  |d OCLCO  |d OCLCF  |d UOK  |d VT2  |d OCLCQ  |d WYU  |d C6I  |d EBLCP  |d OCLCQ  |d UX1  |d K6U  |d OCLCO  |d OCLCQ  |d OCLCO  |d VLB  |d OCLCL 
019 |a 1175630789 
020 |a 9781118742129  |q (cloth ;  |q v. 1) 
020 |a 1118742125  |q (cloth ;  |q v. 1) 
020 |a 9781118742082  |q (cloth ;  |q v. 2) 
020 |a 1118742087 
029 1 |a AU@  |b 000067288776 
035 |a (OCoLC)1035799023  |z (OCoLC)1175630789 
050 4 |a QA246.5  |b .K67 2018 
082 0 4 |a 512.7/2  |2 23 
049 |a UAMI 
100 1 |a Koshy, Thomas. 
245 1 0 |a Fibonacci and Lucas numbers with applications /  |c Thomas Koshy, Framingham State University. 
250 |a Second edition. 
264 1 |a Hoboken, New Jersey :  |b Wiley & Sons,  |c [2018]- 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 0 |a Pure and applied mathematics: a Wiley series of texts, monographs, and tracts 
504 |a Includes bibliographical references and index. 
520 |a Fibonacci and Lucas Numbers with Applications, Volume I, Second Edition provides a user-friendly and historical approach to the many fascinating properties of Fibonacci and Lucas numbers, which have intrigued amateurs and professionals for centuries. Offering an in-depth study of the topic, this book includes exciting applications that provide many opportunities to explore and experiment. 
505 0 |a Cover; Title Page; Copyright; Contents; List of Symbols; Preface; chapter 31 Fibonacci and Lucas Polynomials I; 31.1 Fibonacci and Lucas Polynomials; 31.2 Pascal's Triangle; 31.3 Additional Explicit Formulas; 31.4 Ends of the Numbers l n; 31.5 Generating Functions; 31.6 Pell and Pell-Lucas Polynomials; 31.7 Composition of Lucas Polynomials; 31.8 De Moivre-like Formulas; 31.9 Fibonacci-Lucas Bridges; 31.10 Applications of Identity (31.51); 31.11 Infinite Products; 31.12 Putnam Delight Revisited; 31.13 Infinite Simple Continued Fraction; chapter 32 Fibonacci and Lucas Polynomials II. 
505 8 |a 32.1 Q-Matrix32.2 Summation Formulas; 32.3 Addition Formulas; 32.4 A Recurrence for f n 2; 32.5 Divisibility Properties; chapter 33 Combinatorial Models II; 33.1 A Model for Fibonacci Polynomials; 33.2 Breakability; 33.3 A Ladder Model; 33.4 A Model for Pell-Lucas Polynomials: Linear Boards; 33.5 Colored Tilings; 33.6 A New Tiling Scheme; 33.7 A Model for Pell-Lucas Polynomials: Circular Boards; 33.8 A Domino Model for Fibonacci Polynomials; 33.9 Another Model for Fibonacci Polynomials; chapter 34 Graph-Theoretic Models II; 34.1 Q-Matrix and Connected Graph; 34.2 Weighted Paths. 
505 8 |a 34.3 Q-Matrix Revisited34.4 Byproducts of the Model; 34.5 A Bijection Algorithm; 34.6 Fibonacci and Lucas Sums; 34.7 Fibonacci Walks; chapter 35 Gibonacci Polynomials; 35.1 Gibonacci Polynomials; 35.2 Differences of Gibonacci Products; 35.3 Generalized Lucas and Ginsburg Identities; 35.4 Gibonacci and Geometry; 35.5 Additional Recurrences; 35.6 Pythagorean Triples; chapter 36 Gibonacci Sums; 36.1 Gibonacci Sums; 36.2 Weighted Sums; 36.3 Exponential Generating Functions; 36.4 Infinite Gibonacci Sums; chapter 37 Additional Gibonacci Delights; 37.1 Some Fundamental Identities Revisited. 
505 8 |a 37.2 Lucas and Ginsburg Identities Revisited37.3 Fibonomial Coefficients; 37.4 Gibonomial Coefficients; 37.5 Additional Identities; 37.6 Strazdins' Identity; chapter 38 Fibonacci and Lucas Polynomials III; 38.1 Seiffert's Formulas; 38.2 Additional Formulas; 38.3 Legendre Polynomials; chapter 39 Gibonacci Determinants; 39.1 A Circulant Determinant; 39.2 A Hybrid Determinant; 39.3 Basin's Determinant; 39.4 Lower Hessenberg Matrices; 39.5 Determinant with a Prescribed First Row; chapter 40 Fibonometry II; 40.1 Fibonometric Results; 40.2 Hyperbolic Functions. 
505 8 |a 40.3 Inverse Hyperbolic Summation Formulaschapter 41 Chebyshev Polynomials; 41.1 Chebyshev Polynomials T n(x); 41.2 T n(x) and Trigonometry; 41.3 Hidden Treasures in Table 41.1; 41.4 Chebyshev Polynomials U n(x); 41.5 Pell's Equation; 41.6 U n(x) and Trigonometry; 41.7 Addition and Cassini-like Formulas; 41.8 Hidden Treasures in Table 41.8; 41.9 A Chebyshev Bridge; 41.10 T n and U n as Products; 41.11 Generating Functions; chapter 42 Chebyshev Tilings; 42.1 Combinatorial Models for U n; 42.2 Combinatorial Models for T n; 42.3 Circular Tilings; chapter 43 Bivariate Gibonacci Family I. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Fibonacci numbers. 
650 0 |a Lucas numbers. 
650 6 |a Suites de Fibonacci. 
650 6 |a Suites de Lucas. 
650 7 |a Fibonacci numbers.  |2 aat 
650 7 |a Fibonacci numbers  |2 fast 
650 7 |a Lucas numbers  |2 fast 
758 |i has work:  |a Fibonacci and Lucas numbers with applications (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCG3DTjwRWktxgpD38KFCpK  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Online version:  |a Koshy, Thomas.  |t Fibonacci and Lucas numbers with applications.  |b Second edition.  |d Hoboken, New Jersey : John Wiley & Sons, Inc., [2017]-  |z 9781118742068  |w (DLC) 2016018370 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5615551  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL5615551 
994 |a 92  |b IZTAP 

Ejemplares similares