The Quaterniontonic and Octoniontonic Fibonacci Cassini's Identity: An Historical Investigation with the Maple's Help

Titel	The Quaterniontonic and Octoniontonic Fibonacci Cassini's Identity: An Historical Investigation with the Maple's Help
Quelle	In: International Electronic Journal of Mathematics Education, 13 (2018) 3, S.125-138 (14 Seiten)Infoseite zur Zeitschrift PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1306-3030
Schlagwörter	Professional Personnel; Mathematics Instruction; Mathematical Models; Mathematical Formulas; Computer Software; Mathematical Concepts; Algebra; Numbers; Definitions; Comparative Analysis + Suchen Sie Ihr Suchwort? Personalbestand; Mathematics lessons; Mathematikunterricht; Mathematical model; Mathematisches Modell; Mathematische Formel; Zahlenraum; Begriffsbestimmung
Abstract	This paper discusses a proposal for exploration and verification of numerical and algebraic behavior correspondingly to Generalized Fibonacci model. Thus, it develops a special attention to the class of Fibonacci quaternions and Fibonacci octonions and with this assumption, the work indicates an investigative and epistemological route, with assistance of software CAS Maple. The advantage of its use can be seen from the algebraic calculation of some Fibonacci's identities that showed unworkable without the technological resource. Moreover, through an appreciation of some mathematical definitions and recent theorems, we can understand the current evolutionary content of mathematical formulations discussed over this writing. On the other hand, the work does not ignore some historical elements which contributed to the discovery of quaternions by the mathematician William Rowan Hamilton (1805-1865). Finally, with the exploration of some simple software's commands allows the verification and, above all, the comparison of the numerical datas with the theorems formally addressed in some academic articles. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01