000			05837cam a2200649Ka 4500
006			m o d
007			cr cn|||||||||
008			111213s2001 nyua ob 001 0 eng d
020			_a9781118033067 _q(electronic bk.)
020			_a111803306X _q(electronic bk.)
020			_a9781118031315 _q(electronic bk.)
020			_a1118031318 _q(electronic bk.)
020			_z0471399698
020			_z9780471399698
029	1		_aAU@ _b000049105271
029	1		_aDEBSZ _b430991584
029	1		_aDEBBG _bBV043393824
035			_a(OCoLC)768204521 _z(OCoLC)626002042 _z(OCoLC)681450433 _z(OCoLC)773036347
037			_a10.1002/9781118033067 _bWiley InterScience _nhttp://www3.interscience.wiley.com
040			_aDG1 _beng _epn _cDG1 _dN$T _dOCLCQ _dEBLCP _dOCLCQ _dOCLCF _dOCLCE _dDEBBG _dYDXCP _dOCLCQ _dOCLCO _dDEBSZ _dOCLCQ _dBAUN
042			_adlr
049			_aBAUN_MERKEZ
050		4	_aQA246.5 _b.K67 2001
072		7	_aMAT _x022000 _2bisacsh
082	0	4	_222
100	1		_aKoshy, Thomas.
245	1	0	_aFibonacci and Lucas numbers with applications _h[electronic resource] / _cThomas Koshy.
264		1	_aNew York : _bWiley, _c[2001]
264		4	_c©2001
300			_a1 online resource (xvi, 652 pages) : _billustrations.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aPure and applied mathematics: a Wiley-Interscience series of texts, monographs, and tracts
500			_a"A Wiley-Interscience publication."
504			_aIncludes bibliographical references (pages 562-576) and index.
505	0		_tFront Matter _t-- Leonardo Fibonacci _t-- The Rabbit Problem _t-- Fibonacci Numbers in Nature _t-- Fibonacci Numbers: Additional Occurrences _t-- Fibonacci and Lucas Identities _t-- Geometric Paradoxes _t-- Generalized Fibonacci Numbers _t-- Additional Fibonacci and Lucas Formulas _t-- The Euclidean Algorithm _t-- Solving Recurrence Relations _t-- Completeness Theorems _t-- Pascal's Triangle _t-- Pascal-Like Triangles _t-- Additional Pascal-Like Triangles _t-- Hosoya's Triangle _t-- Divisibility Properties _t-- Generalized Fibonacci Numbers Revisited _t-- Generating Functions _t-- Generating Functions Revisited _t-- The Golden Ratio _t-- The Golden Ratio Revisited _t-- Golden Triangles _t-- Golden Rectangles _t-- Fibonacci Geometry _t-- Regular Pentagons _t-- The Golden Ellipse and Hyperbola _t-- Continued Fractions _t-- Weighted Fibonacci and Lucas Sums _t-- Fibonacci and Lucas Sums Revisited _t-- The Knapsack Problem _t-- Fibonacci Magic Squares _t-- Fibonacci Matrices _t-- Fibonacci Determinants _t-- Fibonacci and Lucas Congruences _t-- Fibonacci and Lucas Periodicity _t-- Fibonacci and Lucas Series _t-- Fibonacci Polynomials _t-- Lucas Polynomials _t-- Jacobsthal Polynomials _t-- Zeros of Fibonacci and Lucas Polynomials _t-- Morgan-Voyce Polynomials _t-- Fibonometry _t-- Fibonacci and Lucas Subscripts _t-- Gaussian Fibonacci and Lucas Numbers _t-- Analytic Extensions _t-- Tribonacci Numbers _t-- Tribonacci Polynomials _t-- Fundamentals _t-- The First 100 Fibonacci and Lucas Numbers _t-- The First 100 Fibonacci Numbers and Their Prime Factorizations _t-- The First 100 Lucas Numbers and Their Prime Factorizations _t-- References _t-- Solutions to Odd-Numbered Exercises _t-- Index _t-- Pure and Applied Mathematics.
505	0	0	_tLeonardo Fibonacci -- _tThe Rabbit Problem -- _tFibonacci Numbers in Nature -- _tFibonacci Numbers: Additional Occurrences -- _tFibonacci and Lucas Identities -- _tGeometric Paradoxes -- _tGeneralized Fibonacci Numbers -- _tAdditional Fibonacci and Lucas Formulas -- _tThe Euclidean Algorithm -- _tSolving Recurrence Relations -- _tCompleteness Theorems -- _tPascal's Triangle -- _tPascal-Like Triangles -- _tAdditional Pascal-Like Triangles -- _tHosoya's Triangle -- _tDivisibility Properties -- _tGeneralized Fibonacci Numbers Revisited -- _tGenerating Functions -- _tGenerating Functions Revisited -- _tThe Golden Ratio -- _tThe Golden Ratio Revisited -- _tGolden Triangles -- _tGolden Rectangles -- _tFibonacci Geometry -- _tRegular Pentagons -- _tThe Golden Ellipse and Hyperbola -- _tContinued Fractions -- _tWeighted Fibonacci and Lucas Sums -- _tFibonacci and Lucas Sums Revisited -- _tThe Knapsack Problem -- _tFibonacci Magic Squares -- _tFibonacci Matrices -- _tFibonacci Determinants -- _tFibonacci and Lucas Congruences -- _tFibonacci and Lucas Periodicity -- _tFibonacci and Lucas Series -- _tFibonacci Polynomials -- _tLucas Polynomials -- _tJacobsthal Polynomials -- _tZeros of Fibonacci and Lucas Polynomials -- _tMorgan-Voyce Polynomials -- _tFibonometry -- _tFibonacci and Lucas Subscripts -- _tGaussian Fibonacci and Lucas Numbers -- _tAnalytic Extensions -- _tTribonacci Numbers -- _tTribonacci Polynomials -- _tThe First 100 Fibonacci and Lucas Numbers -- _tThe First 100 Fibonacci Numbers and Their Prime Factorizations -- _tThe First 100 Lucas Numbers and Their Prime Factorizations.
590			_aeBooks on EBSCOhost _bAll EBSCO eBooks
650		0	_aFibonacci numbers.
650		0	_aLucas numbers.
650		6	_aFibonacci, Suites de.
650		6	_aLucas, Suites de.
650		7	_aMATHEMATICS _xNumber Theory. _2bisacsh
650		7	_aFibonacci numbers. _2fast
650		7	_aLucas numbers. _2fast
650		7	_aFibonacci, Suite de. _2ram
650		7	_aLucas, Suites de. _2ram
655		4	_aElectronic books.
710	2		_aWiley InterScience (Online service)
830		0	_aPure and applied mathematics (John Wiley & Sons : Unnumbered)
856	4	0	_uhttp://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=405457
506			_3Use copy _fRestrictions unspecified _2star _5MiAaHDL
583	1		_2pda _5MiAaHDL
776	0	8	_iPrint version: _aKoshy, Thomas. _tFibonacci and Lucas numbers with applications. _dNew York : Wiley, ©2001 _z0471399698 _w(DLC) 2001017506 _w(OCoLC)45799268
942			_2lcc _cEKT
999			_c41111 _d41111