MAPLE AS A TOOL FOR THE TEACHING OF CYCLOTOMIC POLYNOMIALS ELEMENTARILY

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dc.contributor.authorZahedi, Zahedi
dc.contributor.authorKamil, Anton Abdulbasah
dc.contributor.authorFajriana, Fajriana
dc.contributor.authorSiswadi, Siswadi
dc.contributor.authorAlmir, Almira
dc.contributor.authorSuparni, Sarmin
dc.date.accessioned2024-09-11T19:53:26Z
dc.date.available2024-09-11T19:53:26Z
dc.date.issued2023
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractCyclotomic polynomials are an interesting topic and play an important role for other topics in Number Theory. For special values of n, computing a cyclotomic polynomial is not difficult; this can be done by using properties of the polynomial. For a prime value of n, the polynomial can be written quickly. However, for values which are multiples of odd prime numbers, say 85 = 17 . 5, the task can be quite difficult if it must be done manually. The polynomial has 41 terms and the degree of 64. Software for cyclotomic polynomials is available; Maple for example, can solve the problem of cyclotomic polynomials very easily. However, understanding of how to compute polynomials is very important for a student in applying various properties of the cyclotomic polynomial. Here, we will use Maple to help students understand cyclotomic polynomials from the basic. Answer is not obtained directly but step-by-step using properties of the polynomial. So, Maple is used to simulate the process of obtaining the polynomial. Once the students grasp the skill, they will be able to use the software for advanced applications.en_US
dc.identifier.doi10.57016/TM-TIEF1752
dc.identifier.endpage115en_US
dc.identifier.issn1451-4966
dc.identifier.issn2406-1077
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85180908022en_US
dc.identifier.startpage106en_US
dc.identifier.urihttps://doi.org/10.57016/TM-TIEF1752
dc.identifier.urihttps://hdl.handle.net/11363/8137
dc.identifier.volume26en_US
dc.identifier.wosWOS:001166945300004en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherDrustvo Matematicara Srbijeen_US
dc.relation.ispartofTeaching of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240903_Gen_US
dc.subjectCyclotomic polynomialen_US
dc.subjectirreducibleen_US
dc.subjectpolynomial multiplicationen_US
dc.subjectpolynomial divisionen_US
dc.subjectMapleen_US
dc.titleMAPLE AS A TOOL FOR THE TEACHING OF CYCLOTOMIC POLYNOMIALS ELEMENTARILYen_US
dc.typeArticleen_US

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