Verwandte Artikel zu Generalized Fibonacci Sequences: Number Theory
Inhaltsangabe
The Fibonacci sequence occurs everywhere in nature. This sequence has applications to distinct branches of mathematics, as well as varied situations of the world. The Fibonacci sequence has applied to define different algebraic structures such as Fibonacci quaternion, Fibonacci octonion, Fibonacci sedenion, Fibonacci group, Fibonacci graph, Fibonacci lattice etc. Such a theory recently received much attention and now constitutes a great branch in number theory. This book aims to extend the idea of coupled Fibonacci sequences of lower order to the multiplicative coupled Fibonacci sequence of rth order. The various properties of these sequences have been proved under two particular schemes. The binomial sums and congruence properties have been investigated for k-Fibonacci and k-Lucas sequences. The matrices E and M are defined for k-Fibonacci and k-Lucas sequences. These matrices have been used to establish different properties of k-Fibonacci and k-Lucas sequences using matrix methods. Furthermore, the hyperbolic k-Fibonacci quaternions and hyperbolic k-Fibonacci octonions have been defined and different properties of quaternions and octonions have been studied by various techniques.
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Über die Autorin bzw. den Autor
Dr. A. D. Godase is a mathematician with a focus on number theory, particularly in the area of generalized Fibonacci sequences. His research centers around "Generalized Fibonacci Sequences" including studies of k-Fibonacci and k-Lucas numbers, as well as octonions and quaternions related to these sequences.
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Generalized Fibonacci Sequences
Verlag:
LAP LAMBERT Academic Publishing Apr 2022, 2022
ISBN 10: 6200294097
ISBN 13: 9786200294098
Neu
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Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The Fibonacci sequence occurs everywhere in nature. This sequence has applications to distinct branches of mathematics, as well as varied situations of the world. The Fibonacci sequence has applied to define different algebraic structures such as Fibonacci quaternion, Fibonacci octonion, Fibonacci sedenion, Fibonacci group, Fibonacci graph, Fibonacci lattice etc. Such a theory recently received much attention and now constitutes a great branch in number theory. This book aims to extend the idea of coupled Fibonacci sequences of lower order to the multiplicative coupled Fibonacci sequence of rth order. The various properties of these sequences have been proved under two particular schemes. The binomial sums and congruence properties have been investigated for k-Fibonacci and k-Lucas sequences. The matrices E and M are defined for k-Fibonacci and k-Lucas sequences. These matrices have been used to establish different properties of k-Fibonacci and k-Lucas sequences using matrix methods. Furthermore, the hyperbolic k-Fibonacci quaternions and hyperbolic k-Fibonacci octonions have been defined and different properties of quaternions and octonions have been studied by various techniques. 192 pp. Englisch. Bestandsnummer des Verkäufers 9786200294098
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Generalized Fibonacci Sequences
Verlag:
LAP Lambert Academic Publishing, 2022
ISBN 10: 6200294097
ISBN 13: 9786200294098
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The Fibonacci sequence occurs everywhere in nature. This sequence has applications to distinct branches of mathematics, as well as varied situations of the world. The Fibonacci sequence has applied to define different algebraic structures such as Fibonacci . Bestandsnummer des Verkäufers 601137750
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Generalized Fibonacci Sequences | Number Theory
Verlag:
LAP LAMBERT Academic Publishing, 2022
ISBN 10: 6200294097
ISBN 13: 9786200294098
Neu
Taschenbuch
Anbieter: preigu, Osnabrück, Deutschland
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Taschenbuch. Zustand: Neu. Generalized Fibonacci Sequences | Number Theory | A. D. Godase | Taschenbuch | Englisch | 2022 | LAP LAMBERT Academic Publishing | EAN 9786200294098 | Verantwortliche Person für die EU: SIA OmniScriptum Publishing, Brivibas Gatve 197, 1039 RIGA, LETTLAND, customerservice[at]vdm-vsg[dot]de | Anbieter: preigu. Bestandsnummer des Verkäufers 121691053
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Generalized Fibonacci Sequences
Verlag:
LAP LAMBERT Academic Publishing Apr 2022, 2022
ISBN 10: 6200294097
ISBN 13: 9786200294098
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The Fibonacci sequence occurs everywhere in nature. This sequence has applications to distinct branches of mathematics, as well as varied situations of the world. The Fibonacci sequence has applied to define different algebraic structures such as Fibonacci quaternion, Fibonacci octonion, Fibonacci sedenion, Fibonacci group, Fibonacci graph, Fibonacci lattice etc. Such a theory recently received much attention and now constitutes a great branch in number theory. This book aims to extend the idea of coupled Fibonacci sequences of lower order to the multiplicative coupled Fibonacci sequence of rth order. The various properties of these sequences have been proved under two particular schemes. The binomial sums and congruence properties have been investigated for k-Fibonacci and k-Lucas sequences. The matrices E and M are defined for k-Fibonacci and k-Lucas sequences. These matrices have been used to establish different properties of k-Fibonacci and k-Lucas sequences using matrix methods. Furthermore, the hyperbolic k-Fibonacci quaternions and hyperbolic k-Fibonacci octonions have been defined and different properties of quaternions and octonions have been studied by various techniques.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 192 pp. Englisch. Bestandsnummer des Verkäufers 9786200294098
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