Fibonacci And Lucas Numbers With Applications Djvu Download rechnung archif galerie windvd jobgesuch
2017年12月2日Fibonacci And Lucas Numbers With Applications Djvu Download ->->->-> https://picfs.com/1levsp
The,,encryption,,of,,the,,message,,in,,LUC,,is,,computed,,as,,a,,term,,of,,certain,,Lucas,,sequence,,,instead,,of,,using,,modular,,exponentiation,,as,,in,,RSA,,or,,Diffie-HellmanU,,,n,,,=,,,a,,,n,,,−,,,b,,,n,,,a,,,−,,,b,,,=,,,a,,,n,,,−,,,b,,,n,,,D,,,{displaystyle,,,U{n}={frac,,,{a^{n}-b^{n}}{a-b}}={frac,,,{a^{n}-b^{n}}{sqrt,,,{D}}}},,,Appendix,,1:,,Fundamentals.Appendix,,2:,,The,,First,,100,,Fibonacci,,and,,Lucas,,Numbers.Appendix,,3:,,The,,First,,100,,Fibonacci,,Numbers,,and,,Their,,Prime,,Factorizations.Appendix,,4:,,The,,First,,100,,Lucas,,Numbers,,and,,Their,,Prime,,Factorizations.References.Solutions,,to,,Odd-Numbered,,Exercises.Index.1,,Leonardo,,Fibonacci,,9,,2,,Fibonacci,,Numbers,,13,,2.1,,Fibonacci’s,,Rabbits,,13,,2.2,,Fibonacci,,Numbers,,14,,2.3,,Fibonacci,,and,,Lucas,,Curiosities,,17,,3,,Fibonacci,,Numbers,,in,,Nature,,27,,3.1,,Fibonacci,,,Flowers,,,and,,Trees,,28,,3.2,,Fibonacci,,and,,Male,,Bees,,31,,3.3,,Fibonacci,,,Lucas,,,and,,Subsets,,32,,3.4,,Fibonacci,,and,,Sewage,,Treatment,,34,,3.5,,Fibonacci,,and,,Atoms,,35,,3.6,,Fibonacci,,and,,Reflections,,36,,3.7,,Paraffins,,and,,Cycloparaffins,,38,,3.8,,Fibonacci,,and,,Music,,41,,3.9,,Fibonacci,,and,,Poetry,,42,,3.10,,Fibonacci,,and,,Neurophysiology,,43,,3.11,,Electrical,,Networks,,45,,4,,Additional,,Fibonacci,,and,,Lucas,,Occurrences,,53,,4.1,,Fibonacci,,Occurrences,,53,,4.2,,Fibonacci,,and,,Compositions,,58,,4.3,,Fibonacci,,and,,Permutations,,61,,4.4,,Fibonacci,,and,,Generating,,Sets,,63,,4.5,,Fibonacci,,and,,Graph,,Theory,,64,,4.6,,Fibonacci,,Walks,,66,,4.7,,Fibonacci,,Trees,,68,,4.8,,Partitions,,71,,4.9,,Fibonacci,,and,,the,,Stock,,Market,,72,,5,,Fibonacci,,and,,Lucas,,Identities,,77,,5.1,,Spanning,,Tree,,of,,a,,Connected,,Graph,,79,,5.2,,Binet’s,,Formulas,,83,,5.3,,Cyclic,,Permutations,,and,,Lucas,,Numbers,,91,,5.4,,Compositions,,Revisited,,94,,5.5,,Number,,of,,Digits,,in,,Fn,,and,,Ln,,94,,5.6,,Theorem,,5.8,,Revisited,,95,,5.7,,Catalan’s,,Identity,,99,,5.8,,Additional,,Fibonacci,,and,,Lucas,,Identities,,102,,5.9,,Fermat,,and,,Fibonacci,,108,,5.10,,Fibonacci,,and,,110,,6,,Geometric,,Illustrations,,and,,Paradoxes,,117,,6.1,,Geometric,,Illustrations,,117,,6.2,,Candido’s,,Identity,,121,,6.3,,Fibonacci,,Tessellations,,123,,6.4,,Lucas,,Tessellations,,123,,6.5,,Geometric,,Paradoxes,,124,,6.6,,CassiniBased,,Paradoxes,,124,,6.7,,Additional,,Paradoxes,,129,,7,,Gibonacci,,Numbers,,133,,7.1,,Gibonacci,,Numbers,,133,,7.2,,Germain’s,,Identity,,139,,8,,Additional,,Fibonacci,,and,,Lucas,,Formulas,,145,,8.1,,New,,Explicit,,Formulas,,145,,8.2,,Additional,,Formulas,,148,,9,,The,,Euclidean,,Algorithm,,159,,9.1,,The,,Euclidean,,Algorithm,,160,,9.2,,Formula,,(5.5),,Revisited,,162,,9.3,,Lam’s,,Theorem,,164,,10,,Divisibility,,Properties,,167,,10.1,,Fibonacci,,Divisibility,,167,,10.2,,Lucas,,Divisibility,,173,,10.3,,Fibonacci,,and,,Lucas,,Ratios,,173,,10.4,,An,,Altered,,Fibonacci,,Sequence,,178,,11,,Pascal’s,,Triangle,,185,,11.1,,Binomial,,Coefficients,,185,,11.2,,Pascal’s,,Triangle,,186,,11.3,,Fibonacci,,Numbers,,and,,Pascal’s,,Triangle,,188,,11.4,,Another,,Explicit,,Formula,,for,,Ln,,191,,11.5,,Catalan’s,,Formula,,192,,11.6,,Additional,,Identities,,192,,11.7,,Fibonacci,,Paths,,of,,a,,Rook,,on,,a,,Chessboard,,194,,12,,Pascallike,,Triangles,,199,,12.1,,Sums,,of,,LikePowers,,199,,12.2,,An,,Alternate,,Formula,,for,,Ln,,202,,12.3,,Differences,,of,,LikePowers,,202,,12.4,,Catalan’s,,Formula,,Revisited,,204,,12.5,,A,,Lucas,,Triangle,,205,,12.6,,Powers,,of,,Lucas,,Numbers,,209,,12.7,,Variants,,of,,Pascal’s,,Triangle,,211,,13,,Recurrences,,and,,Generating,,Functions,,219,,13.1,,LHRWCCs,,219,,13.2,,Generating,,Functions,,223,,13.3,,A,,Generating,,Function,,For,,F3n,,233,,13.4,,A,,Generating,,Function,,For,,F3,,n,,234,,13.5,,Summation,,Formula,,(5.1),,Revisited,,234,,13.6,,A,,List,,of,,Generating,,Functions,,235,,13.7,,Compositions,,Revisited,,238,,13.8,,Exponential,,Generating,,Functions,,239,,13.9,,Hybrid,,Identities,,241,,13.10Identities,,Using,,the,,Differential,,Operator,,242,,14,,Combinatorial,,Models,,I,,249,,14.1,,A,,Fibonacci,,Tiling,,Model,,249,,14.2,,A,,Circular,,Tiling,,Model,,255,,14.3,,Path,,Graphs,,Revisited,,259,,14.4,,Cycle,,Graphs,,Revisited,,262,,14.5,,Tadpole,,Graphs,,263,,15,,Hosoya’s,,Triangle,,271,,15.1,,Recursive,,Definition,,271,,15.2,,A,,Magic,,Rhombus,,273,,16,,The,,Golden,,Ratio,,279,,16.1,,Ratios,,of,,Consecutive,,Fibonacci,,Numbers,,279,,16.2,,The,,Golden,,Ratio,,281,,16.3,,Golden,,Ratio,,as,,Nested,,Radicals,,285,,16.4,,Newton’s,,Approximation,,Method,,286,,16.5,,The,,Ubiquitous,,Golden,,Ratio,,288,,16.6,,Human,,Body,,and,,the,,Golden,,Ratio,,289,,16.7,,Violin,,and,,the,,Golden,,Ratio,,290,,16.8,,Ancient,,Floor,,Mosaics,,and,,the,,Golden,,Ratio,,290,,16.9,,Golden,,Ratio,,in,,an,,Electrical,,Network,,290,,16.10Golden,,Ratio,,in,,Electrostatics,,291,,16.11Golden,,Ratio,,by,,Origami,,292,,16.12Differential,,Equations,,297,,16.13Golden,,Ratio,,in,,Algebra,,299,,16.14Golden,,Ratio,,in,,Geometry,,300,,17,,Golden,,Triangles,,and,,Rectangles,,309,,17.1,,Golden,,Triangle,,309,,17.2,,Golden,,Rectangles,,314,,17.3,,The,,Parthenon,,317,,17.4,,Human,,Body,,and,,the,,Golden,,Rectangle,,318,,17.5,,Golden,,Rectangle,,and,,the,,Clock,,319,,17.6,,Straightedge,,and,,Compass,,Construction,,320,,17.7,,Reciprocal,,of,,a,,Rectangle,,321,,17.8,,Logarithmic,,Spiral,,322,,17.9,,Golden,,Rectangle,,Revisited,,324,,17.10Supergolden,,Rectangle,,324,,18,,Figeometry,,329,,18.1,,The,,Golden,,Ratio,,and,,Plane,,Geometry,,329,,18.2,,The,,Cross,,of,,Lorraine,,335,,18.3,,Fibonacci,,Meets,,Appollonius,,337,,18.4,,A,,Fibonacci,,Spiral,,338,,18.5,,Regular,,Pentagons,,339,,18.6,,Trigonometric,,Formulas,,for,,Fn,,343,,18.7,,Regular,,Decagon,,347,,18.8,,Fifth,,Roots,,of,,Unity,,348,,18.9,,A,,Pentagonal,,Arch,,351,,18.10,,Regular,,Icosahedron,,and,,Dodecahedron,,351,,18.11,,Golden,,Ellipse,,352,,18.12,,Golden,,Hyperbola,,354,,19,,Continued,,Fractions,,361,,19.1,,Finite,,Continued,,Fractions,,361,,19.2,,Convergents,,of,,a,,Continued,,Fraction,,364,,19.3,,Infinite,,Continued,,Fractions,,366,,19.4,,A,,Nonlinear,,Diophantine,,Equation,,368,,20,,Fibonacci,,Matrices,,371,,20.1,,The,,QMatrix,,371,,20.2,,Eigenvalues,,of,,Qn,,378,,20.3,,Fibonacci,,and,,Lucas,,Vectors,,384,,20.4,,An,,Intriguing,,Fibonacci,,Matrix,,386,,20.5,,An,,InfiniteDimensional,,Lucas,,Matrix,,391,,20.6,,An,,InfiniteDimensional,,Gibonacci,,Matrix,,397,,20.7,,The,,Lambda,,Function,,398,,21,,Graphtheoretic,,Models,,I,,407,,21.1,,A,,Graphtheoretic,,Model,,for,,Fibonacci,,Numbers,,407,,21.2,,Byproducts,,of,,the,,Combinatorial,,Models,,409,,21.3,,Summation,,Formulas,,415,,22,,Fibonacci,,Determinants,,419,,22.1,,An,,Application,,to,,Graph,,Theory,,419,,22.2,,The,,Singularity,,of,,Fibonacci,,Matrices,,425,,22.3,,Fibonacci,,and,,Analytic,,Geometry,,427,,23,,Fibonacci,,and,,Lucas,,Congruences,,437,,23.1,,Fibonacci,,Numbers,,Ending,,in,,Zero,,437,,23.2,,Lucas,,Numbers,,Ending,,in,,Zero,,437,,23.3,,Additional,,Congruences,,438,,23.4,,Lucas,,Squares,,439,,23.5,,Fibonacci,,Squares,,440,,23.6,,A,,Generalized,,Fibonacci,,Congruence,,442,,23.7,,Fibonacci,,and,,Lucas,,Periodicities,,449,,23.8,,Lucas,,Squares,,Revisited,,450,,23.9,,Periodicities,,Modulo,,10n,,452,,24,,Fibonacci,,and,,Lucas,,Series,,461,,24.1,,A,,Fibonacci,,Series,,461,,24.2,,A,,Lucas,,Series,,463,,24.3,,Fibonacci,,and,,Lucas,,Series,,Revisited,,464,,24.4,,A,,Fibonacci,,Power,,Series,,467,,24.5,,Gibonacci,,Series,,472,,24.6,,Additional,,Fibonacci,,Series,,474,,25,,Weighted,,Fibonacci,,and,,Lucas,,Sums,,481,,25.1,,Weighted,,Sums,,481,,25.2,,Gauthier’s,,Differential,,Method,,488,,26,,Fibonometry,,I,,495,,26.1,,Golden,,Ratio,,and,,Inverse,,Trigonometric,,Functions,,495,,26.2,,Golden,,Triangle,,Revisited,,496,,26.3,,Golden,,Weaves,,497,,26.4,,Additional,,Fibonometric,,Bridges,,498,,26.5,,Fibonacci,,and,,Lucas,,Factorizations,,504,,27,,Completeness,,Theorems,,509,,27.1,,Completeness,,Theorem,,509,,27.2,,Egyptian,,Algorithm,,for,,Multiplication,,510,,28,,The,,Knapsack,,Problem,,513,,28.1,,The,,Knapsack,,Problem,,513,,29,,Fibonacci,,and,,Lucas,,Subscripts,,517,,29.1,,Fibonacci,,and,,Lucas,,Subscripts,,517,,29.2,,Gibonacci,,Subscripts,,519,,29.3,,A,,Recursive,,Definition,,of,,Yn,,520,,30,,Fibonacci,,and,,the,,Complex,,Plane,,525,,30.1,,Gaussian,,Numbers,,525,,30.2,,Gaussian,,Fibonacci,,and,,Lucas,,Numbers,,526,,30.3,,Analytic,,Extensions,,530,,1,,A.1,,Fundamentals,,537,,SOLUTIONS,,TO,,ODDNUMBERED,,EXERCISES,,575,,Rezensionen,,".presents,,a,,look,,at,,the,,numerous,,applications,,of,,Fibonacci,,and,,Lucas,,numbers,,in,,a,,range,,of,,disciplines.",,(SciTech,,Book,,News,,,VolIf,,,,p,,,,is,,,,an,,,,odd,,,,prime,,,,and,,,,divides,,,,not,,,,P,,,,but,,,,Q,,,,,then,,,,p,,,,never,,,,divides,,,,U,,,,n,,,,{displaystyle,,,,U{n}},,,,for,,,,n,,,,=,,,,1,,,,,,,,,2,,,,,,,,,…,,,,{displaystyle,,,,n=1,2,ldots,,,,},,,,ISBN0-8176-3743-5Thus:Carmichael’s,,theorem,,states,,that,,all,,but,,finitely,,many,,of,,the,,terms,,in,,a,,Lucas,,sequence,,have,,a,,primitive,,prime,,factor(Yubuta,,2001)Un(1,1):,,Fibonacci,,numbers,,Vn(1,1):,,Lucas,,numbers,,Un(2,1):,,Pell,,numbers,,Vn(2,1):,,Companion,,Pell,,numbers,,or,,Pell-Lucas,,numbers,,Un(1,2):,,Jacobsthal,,numbers,,Vn(1,2):,,Jacobsthal-Lucas,,numbers,,Un(3,,,2):,,Mersenne,,numbers,,2n1,,Vn(3,,,2):,,Numbers,,of,,the,,form,,2n+1,,,which,,include,,the,,Fermat,,numbers,,(Yubuta,,2001)If,,this,,is,,a,,republication,,request,,please,,include,,details,,of,,the,,new,,work,,in,,which,,the,,Wiley,,content,,will,,appearAlles,,,,immer,,,,portofrei!*,,,,Kostenloser,,,,Rckversand,,,,Zahlung,,,,auch,,,,auf,,,,Rechnung,,,,Mein,,,,Konto,,,,Anmelden,,,,Abmelden,,,,Merklisten,,,,Hilfe,,,,In,,,,allen,,,,Kategorien,,,,Buch,,,,Taschenbuch,,,,Fachbuch,,,,eBook,,,,Hrbuch,,,,Hrbuch-Download,,,,Musik,,,,Film,,,,Software,,,,Software-Download,,,,Games,,,,Games-Downloads,,,,Spielzeug,,,,Kalender,,,,Landkarten,,,,Noten,,,,Elektronik,,,,Wohnen,,,,&,,,,Leben,,,,Sonstige,,,,Mngelexemplare,,,,Los,,,,Zum,,,,Warenkorb,,,,0,,,,Artikel,,,,WeihnachtenBchereBooksHrbcherKinderbcherRatgeberKalenderMusikFilmeSoftwareGamesSpielzeugElektronikWohnen,,,,&,,,,LebenSALE,,,,In,,,,allen,,,,Kategorien,,,,Buch,,,,Taschenbuch,,,,Fachbuch,,,,eBook,,,,Hrbuch,,,,Hrbuch-Download,,,,Musik,,,,Film,,,,Software,,,,Software-Download,,,,Games,,,,Games-Downloads,,,,Spielzeug,,,,Kalender,,,,Landkarten,,,,Noten,,,,Elektronik,,,,Wohnen,,,,&,,,,Leben,,,,Sonstige,,,,Mngelexemplare,,,,Los,,,,HomeFachbcherNaturwissenschaftenMathematikArithmetik-ZahlentheorieSonstige,,,,ThemenHomeFachbcherNaturwissenschaftenMathematikArithmetik-ZahlentheorieSonstige,,,,Themen,,,,Thomas,,,,KoshyFibonacci,,,,and,,,,Lucas,,,,Numbers,,,,with,,,,Applications,,,,(eBook,,,,,PDF),,,,Leseprobe,,,,Als,,,,Download,,,,kaufen,,,,-7%,,,,EUR,,,,169,99,,,,Bisher,,,,EUR,,,,182,80**,,,,EUR,,,,169,99Alle,,,,Preise,,,,inklLogin,,,,2MathThere,,,is,,,no,,,comparable,,,publication,,,having,,,that,,,amount,,,of,,,information,,,available,,,on,,,this,,,topic 68ab3a233e
http://diepretacir.diarynote.jp/201712021132022317/ http://frivwalllanmi.diarynote.jp/201712021131009179/ http://solapiva.diarynote.jp/201712021131036508/ http://www.pearltrees.com/vitipacon/item214711521 http://www.pearltrees.com/prepistranring/item214711524 http://www.pearltrees.com/rechampose/item214711527 http://miramtilang.diarynote.jp/201712021131079145/ http://meafiguadi.diarynote.jp/201712021130558704/ http://www.pearltrees.com/olecahun/item214711512 http://softrescufunc.diarynote.jp/201712021131302330/
The,,encryption,,of,,the,,message,,in,,LUC,,is,,computed,,as,,a,,term,,of,,certain,,Lucas,,sequence,,,instead,,of,,using,,modular,,exponentiation,,as,,in,,RSA,,or,,Diffie-HellmanU,,,n,,,=,,,a,,,n,,,−,,,b,,,n,,,a,,,−,,,b,,,=,,,a,,,n,,,−,,,b,,,n,,,D,,,{displaystyle,,,U{n}={frac,,,{a^{n}-b^{n}}{a-b}}={frac,,,{a^{n}-b^{n}}{sqrt,,,{D}}}},,,Appendix,,1:,,Fundamentals.Appendix,,2:,,The,,First,,100,,Fibonacci,,and,,Lucas,,Numbers.Appendix,,3:,,The,,First,,100,,Fibonacci,,Numbers,,and,,Their,,Prime,,Factorizations.Appendix,,4:,,The,,First,,100,,Lucas,,Numbers,,and,,Their,,Prime,,Factorizations.References.Solutions,,to,,Odd-Numbered,,Exercises.Index.1,,Leonardo,,Fibonacci,,9,,2,,Fibonacci,,Numbers,,13,,2.1,,Fibonacci’s,,Rabbits,,13,,2.2,,Fibonacci,,Numbers,,14,,2.3,,Fibonacci,,and,,Lucas,,Curiosities,,17,,3,,Fibonacci,,Numbers,,in,,Nature,,27,,3.1,,Fibonacci,,,Flowers,,,and,,Trees,,28,,3.2,,Fibonacci,,and,,Male,,Bees,,31,,3.3,,Fibonacci,,,Lucas,,,and,,Subsets,,32,,3.4,,Fibonacci,,and,,Sewage,,Treatment,,34,,3.5,,Fibonacci,,and,,Atoms,,35,,3.6,,Fibonacci,,and,,Reflections,,36,,3.7,,Paraffins,,and,,Cycloparaffins,,38,,3.8,,Fibonacci,,and,,Music,,41,,3.9,,Fibonacci,,and,,Poetry,,42,,3.10,,Fibonacci,,and,,Neurophysiology,,43,,3.11,,Electrical,,Networks,,45,,4,,Additional,,Fibonacci,,and,,Lucas,,Occurrences,,53,,4.1,,Fibonacci,,Occurrences,,53,,4.2,,Fibonacci,,and,,Compositions,,58,,4.3,,Fibonacci,,and,,Permutations,,61,,4.4,,Fibonacci,,and,,Generating,,Sets,,63,,4.5,,Fibonacci,,and,,Graph,,Theory,,64,,4.6,,Fibonacci,,Walks,,66,,4.7,,Fibonacci,,Trees,,68,,4.8,,Partitions,,71,,4.9,,Fibonacci,,and,,the,,Stock,,Market,,72,,5,,Fibonacci,,and,,Lucas,,Identities,,77,,5.1,,Spanning,,Tree,,of,,a,,Connected,,Graph,,79,,5.2,,Binet’s,,Formulas,,83,,5.3,,Cyclic,,Permutations,,and,,Lucas,,Numbers,,91,,5.4,,Compositions,,Revisited,,94,,5.5,,Number,,of,,Digits,,in,,Fn,,and,,Ln,,94,,5.6,,Theorem,,5.8,,Revisited,,95,,5.7,,Catalan’s,,Identity,,99,,5.8,,Additional,,Fibonacci,,and,,Lucas,,Identities,,102,,5.9,,Fermat,,and,,Fibonacci,,108,,5.10,,Fibonacci,,and,,110,,6,,Geometric,,Illustrations,,and,,Paradoxes,,117,,6.1,,Geometric,,Illustrations,,117,,6.2,,Candido’s,,Identity,,121,,6.3,,Fibonacci,,Tessellations,,123,,6.4,,Lucas,,Tessellations,,123,,6.5,,Geometric,,Paradoxes,,124,,6.6,,CassiniBased,,Paradoxes,,124,,6.7,,Additional,,Paradoxes,,129,,7,,Gibonacci,,Numbers,,133,,7.1,,Gibonacci,,Numbers,,133,,7.2,,Germain’s,,Identity,,139,,8,,Additional,,Fibonacci,,and,,Lucas,,Formulas,,145,,8.1,,New,,Explicit,,Formulas,,145,,8.2,,Additional,,Formulas,,148,,9,,The,,Euclidean,,Algorithm,,159,,9.1,,The,,Euclidean,,Algorithm,,160,,9.2,,Formula,,(5.5),,Revisited,,162,,9.3,,Lam’s,,Theorem,,164,,10,,Divisibility,,Properties,,167,,10.1,,Fibonacci,,Divisibility,,167,,10.2,,Lucas,,Divisibility,,173,,10.3,,Fibonacci,,and,,Lucas,,Ratios,,173,,10.4,,An,,Altered,,Fibonacci,,Sequence,,178,,11,,Pascal’s,,Triangle,,185,,11.1,,Binomial,,Coefficients,,185,,11.2,,Pascal’s,,Triangle,,186,,11.3,,Fibonacci,,Numbers,,and,,Pascal’s,,Triangle,,188,,11.4,,Another,,Explicit,,Formula,,for,,Ln,,191,,11.5,,Catalan’s,,Formula,,192,,11.6,,Additional,,Identities,,192,,11.7,,Fibonacci,,Paths,,of,,a,,Rook,,on,,a,,Chessboard,,194,,12,,Pascallike,,Triangles,,199,,12.1,,Sums,,of,,LikePowers,,199,,12.2,,An,,Alternate,,Formula,,for,,Ln,,202,,12.3,,Differences,,of,,LikePowers,,202,,12.4,,Catalan’s,,Formula,,Revisited,,204,,12.5,,A,,Lucas,,Triangle,,205,,12.6,,Powers,,of,,Lucas,,Numbers,,209,,12.7,,Variants,,of,,Pascal’s,,Triangle,,211,,13,,Recurrences,,and,,Generating,,Functions,,219,,13.1,,LHRWCCs,,219,,13.2,,Generating,,Functions,,223,,13.3,,A,,Generating,,Function,,For,,F3n,,233,,13.4,,A,,Generating,,Function,,For,,F3,,n,,234,,13.5,,Summation,,Formula,,(5.1),,Revisited,,234,,13.6,,A,,List,,of,,Generating,,Functions,,235,,13.7,,Compositions,,Revisited,,238,,13.8,,Exponential,,Generating,,Functions,,239,,13.9,,Hybrid,,Identities,,241,,13.10Identities,,Using,,the,,Differential,,Operator,,242,,14,,Combinatorial,,Models,,I,,249,,14.1,,A,,Fibonacci,,Tiling,,Model,,249,,14.2,,A,,Circular,,Tiling,,Model,,255,,14.3,,Path,,Graphs,,Revisited,,259,,14.4,,Cycle,,Graphs,,Revisited,,262,,14.5,,Tadpole,,Graphs,,263,,15,,Hosoya’s,,Triangle,,271,,15.1,,Recursive,,Definition,,271,,15.2,,A,,Magic,,Rhombus,,273,,16,,The,,Golden,,Ratio,,279,,16.1,,Ratios,,of,,Consecutive,,Fibonacci,,Numbers,,279,,16.2,,The,,Golden,,Ratio,,281,,16.3,,Golden,,Ratio,,as,,Nested,,Radicals,,285,,16.4,,Newton’s,,Approximation,,Method,,286,,16.5,,The,,Ubiquitous,,Golden,,Ratio,,288,,16.6,,Human,,Body,,and,,the,,Golden,,Ratio,,289,,16.7,,Violin,,and,,the,,Golden,,Ratio,,290,,16.8,,Ancient,,Floor,,Mosaics,,and,,the,,Golden,,Ratio,,290,,16.9,,Golden,,Ratio,,in,,an,,Electrical,,Network,,290,,16.10Golden,,Ratio,,in,,Electrostatics,,291,,16.11Golden,,Ratio,,by,,Origami,,292,,16.12Differential,,Equations,,297,,16.13Golden,,Ratio,,in,,Algebra,,299,,16.14Golden,,Ratio,,in,,Geometry,,300,,17,,Golden,,Triangles,,and,,Rectangles,,309,,17.1,,Golden,,Triangle,,309,,17.2,,Golden,,Rectangles,,314,,17.3,,The,,Parthenon,,317,,17.4,,Human,,Body,,and,,the,,Golden,,Rectangle,,318,,17.5,,Golden,,Rectangle,,and,,the,,Clock,,319,,17.6,,Straightedge,,and,,Compass,,Construction,,320,,17.7,,Reciprocal,,of,,a,,Rectangle,,321,,17.8,,Logarithmic,,Spiral,,322,,17.9,,Golden,,Rectangle,,Revisited,,324,,17.10Supergolden,,Rectangle,,324,,18,,Figeometry,,329,,18.1,,The,,Golden,,Ratio,,and,,Plane,,Geometry,,329,,18.2,,The,,Cross,,of,,Lorraine,,335,,18.3,,Fibonacci,,Meets,,Appollonius,,337,,18.4,,A,,Fibonacci,,Spiral,,338,,18.5,,Regular,,Pentagons,,339,,18.6,,Trigonometric,,Formulas,,for,,Fn,,343,,18.7,,Regular,,Decagon,,347,,18.8,,Fifth,,Roots,,of,,Unity,,348,,18.9,,A,,Pentagonal,,Arch,,351,,18.10,,Regular,,Icosahedron,,and,,Dodecahedron,,351,,18.11,,Golden,,Ellipse,,352,,18.12,,Golden,,Hyperbola,,354,,19,,Continued,,Fractions,,361,,19.1,,Finite,,Continued,,Fractions,,361,,19.2,,Convergents,,of,,a,,Continued,,Fraction,,364,,19.3,,Infinite,,Continued,,Fractions,,366,,19.4,,A,,Nonlinear,,Diophantine,,Equation,,368,,20,,Fibonacci,,Matrices,,371,,20.1,,The,,QMatrix,,371,,20.2,,Eigenvalues,,of,,Qn,,378,,20.3,,Fibonacci,,and,,Lucas,,Vectors,,384,,20.4,,An,,Intriguing,,Fibonacci,,Matrix,,386,,20.5,,An,,InfiniteDimensional,,Lucas,,Matrix,,391,,20.6,,An,,InfiniteDimensional,,Gibonacci,,Matrix,,397,,20.7,,The,,Lambda,,Function,,398,,21,,Graphtheoretic,,Models,,I,,407,,21.1,,A,,Graphtheoretic,,Model,,for,,Fibonacci,,Numbers,,407,,21.2,,Byproducts,,of,,the,,Combinatorial,,Models,,409,,21.3,,Summation,,Formulas,,415,,22,,Fibonacci,,Determinants,,419,,22.1,,An,,Application,,to,,Graph,,Theory,,419,,22.2,,The,,Singularity,,of,,Fibonacci,,Matrices,,425,,22.3,,Fibonacci,,and,,Analytic,,Geometry,,427,,23,,Fibonacci,,and,,Lucas,,Congruences,,437,,23.1,,Fibonacci,,Numbers,,Ending,,in,,Zero,,437,,23.2,,Lucas,,Numbers,,Ending,,in,,Zero,,437,,23.3,,Additional,,Congruences,,438,,23.4,,Lucas,,Squares,,439,,23.5,,Fibonacci,,Squares,,440,,23.6,,A,,Generalized,,Fibonacci,,Congruence,,442,,23.7,,Fibonacci,,and,,Lucas,,Periodicities,,449,,23.8,,Lucas,,Squares,,Revisited,,450,,23.9,,Periodicities,,Modulo,,10n,,452,,24,,Fibonacci,,and,,Lucas,,Series,,461,,24.1,,A,,Fibonacci,,Series,,461,,24.2,,A,,Lucas,,Series,,463,,24.3,,Fibonacci,,and,,Lucas,,Series,,Revisited,,464,,24.4,,A,,Fibonacci,,Power,,Series,,467,,24.5,,Gibonacci,,Series,,472,,24.6,,Additional,,Fibonacci,,Series,,474,,25,,Weighted,,Fibonacci,,and,,Lucas,,Sums,,481,,25.1,,Weighted,,Sums,,481,,25.2,,Gauthier’s,,Differential,,Method,,488,,26,,Fibonometry,,I,,495,,26.1,,Golden,,Ratio,,and,,Inverse,,Trigonometric,,Functions,,495,,26.2,,Golden,,Triangle,,Revisited,,496,,26.3,,Golden,,Weaves,,497,,26.4,,Additional,,Fibonometric,,Bridges,,498,,26.5,,Fibonacci,,and,,Lucas,,Factorizations,,504,,27,,Completeness,,Theorems,,509,,27.1,,Completeness,,Theorem,,509,,27.2,,Egyptian,,Algorithm,,for,,Multiplication,,510,,28,,The,,Knapsack,,Problem,,513,,28.1,,The,,Knapsack,,Problem,,513,,29,,Fibonacci,,and,,Lucas,,Subscripts,,517,,29.1,,Fibonacci,,and,,Lucas,,Subscripts,,517,,29.2,,Gibonacci,,Subscripts,,519,,29.3,,A,,Recursive,,Definition,,of,,Yn,,520,,30,,Fibonacci,,and,,the,,Complex,,Plane,,525,,30.1,,Gaussian,,Numbers,,525,,30.2,,Gaussian,,Fibonacci,,and,,Lucas,,Numbers,,526,,30.3,,Analytic,,Extensions,,530,,1,,A.1,,Fundamentals,,537,,SOLUTIONS,,TO,,ODDNUMBERED,,EXERCISES,,575,,Rezensionen,,".presents,,a,,look,,at,,the,,numerous,,applications,,of,,Fibonacci,,and,,Lucas,,numbers,,in,,a,,range,,of,,disciplines.",,(SciTech,,Book,,News,,,VolIf,,,,p,,,,is,,,,an,,,,odd,,,,prime,,,,and,,,,divides,,,,not,,,,P,,,,but,,,,Q,,,,,then,,,,p,,,,never,,,,divides,,,,U,,,,n,,,,{displaystyle,,,,U{n}},,,,for,,,,n,,,,=,,,,1,,,,,,,,,2,,,,,,,,,…,,,,{displaystyle,,,,n=1,2,ldots,,,,},,,,ISBN0-8176-3743-5Thus:Carmichael’s,,theorem,,states,,that,,all,,but,,finitely,,many,,of,,the,,terms,,in,,a,,Lucas,,sequence,,have,,a,,primitive,,prime,,factor(Yubuta,,2001)Un(1,1):,,Fibonacci,,numbers,,Vn(1,1):,,Lucas,,numbers,,Un(2,1):,,Pell,,numbers,,Vn(2,1):,,Companion,,Pell,,numbers,,or,,Pell-Lucas,,numbers,,Un(1,2):,,Jacobsthal,,numbers,,Vn(1,2):,,Jacobsthal-Lucas,,numbers,,Un(3,,,2):,,Mersenne,,numbers,,2n1,,Vn(3,,,2):,,Numbers,,of,,the,,form,,2n+1,,,which,,include,,the,,Fermat,,numbers,,(Yubuta,,2001)If,,this,,is,,a,,republication,,request,,please,,include,,details,,of,,the,,new,,work,,in,,which,,the,,Wiley,,content,,will,,appearAlles,,,,immer,,,,portofrei!*,,,,Kostenloser,,,,Rckversand,,,,Zahlung,,,,auch,,,,auf,,,,Rechnung,,,,Mein,,,,Konto,,,,Anmelden,,,,Abmelden,,,,Merklisten,,,,Hilfe,,,,In,,,,allen,,,,Kategorien,,,,Buch,,,,Taschenbuch,,,,Fachbuch,,,,eBook,,,,Hrbuch,,,,Hrbuch-Download,,,,Musik,,,,Film,,,,Software,,,,Software-Download,,,,Games,,,,Games-Downloads,,,,Spielzeug,,,,Kalender,,,,Landkarten,,,,Noten,,,,Elektronik,,,,Wohnen,,,,&,,,,Leben,,,,Sonstige,,,,Mngelexemplare,,,,Los,,,,Zum,,,,Warenkorb,,,,0,,,,Artikel,,,,WeihnachtenBchereBooksHrbcherKinderbcherRatgeberKalenderMusikFilmeSoftwareGamesSpielzeugElektronikWohnen,,,,&,,,,LebenSALE,,,,In,,,,allen,,,,Kategorien,,,,Buch,,,,Taschenbuch,,,,Fachbuch,,,,eBook,,,,Hrbuch,,,,Hrbuch-Download,,,,Musik,,,,Film,,,,Software,,,,Software-Download,,,,Games,,,,Games-Downloads,,,,Spielzeug,,,,Kalender,,,,Landkarten,,,,Noten,,,,Elektronik,,,,Wohnen,,,,&,,,,Leben,,,,Sonstige,,,,Mngelexemplare,,,,Los,,,,HomeFachbcherNaturwissenschaftenMathematikArithmetik-ZahlentheorieSonstige,,,,ThemenHomeFachbcherNaturwissenschaftenMathematikArithmetik-ZahlentheorieSonstige,,,,Themen,,,,Thomas,,,,KoshyFibonacci,,,,and,,,,Lucas,,,,Numbers,,,,with,,,,Applications,,,,(eBook,,,,,PDF),,,,Leseprobe,,,,Als,,,,Download,,,,kaufen,,,,-7%,,,,EUR,,,,169,99,,,,Bisher,,,,EUR,,,,182,80**,,,,EUR,,,,169,99Alle,,,,Preise,,,,inklLogin,,,,2MathThere,,,is,,,no,,,comparable,,,publication,,,having,,,that,,,amount,,,of,,,information,,,available,,,on,,,this,,,topic 68ab3a233e
http://diepretacir.diarynote.jp/201712021132022317/ http://frivwalllanmi.diarynote.jp/201712021131009179/ http://solapiva.diarynote.jp/201712021131036508/ http://www.pearltrees.com/vitipacon/item214711521 http://www.pearltrees.com/prepistranring/item214711524 http://www.pearltrees.com/rechampose/item214711527 http://miramtilang.diarynote.jp/201712021131079145/ http://meafiguadi.diarynote.jp/201712021130558704/ http://www.pearltrees.com/olecahun/item214711512 http://softrescufunc.diarynote.jp/201712021131302330/
コメント