Aspectos aritméticos e históricos de certos números inteiros especiais

Special numbers do not appear frequently and are not very detailed in high school. In this work, the arithmetic aspects of certain special numbers are be presented, including the Perfect Numbers, Mersenne Numbers, Fermat Numbers, Friendly Numbers, Lucas Number, and Stirling Numbers. Additionally, hi...

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Detalles Bibliográficos
Autor: Bulhoes, Julio William Iotty [UNIFESP]
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2020
País:Brasil
Institución:Universidade Federal de São Paulo (UNIFESP)
Repositorio:Repositório Institucional da UNIFESP
Idioma:portugués
OAI Identifier:oai:repositorio.unifesp.br:11600/64899
Acceso en línea:https://sucupira.capes.gov.br/sucupira/public/consultas/coleta/trabalhoConclusao/viewTrabalhoConclusao.jsf?popup=true&id_trabalho=9356697
https://hdl.handle.net/11600/64899
Access Level:acceso abierto
Palabra clave:Perfect Numbers
Mersenne Numbers
Fermat Numbers
Amicable Numbers
Lucas Numbers
Números Perfeitos
Números De Mersenne
Números De Fermat
Números Amigáveis
Número De Lucas
Descripción
Sumario:Special numbers do not appear frequently and are not very detailed in high school. In this work, the arithmetic aspects of certain special numbers are be presented, including the Perfect Numbers, Mersenne Numbers, Fermat Numbers, Friendly Numbers, Lucas Number, and Stirling Numbers. Additionally, historical aspects of these numbers are presented. With this study we aim to present a collection of special numbers and proofs of some of their most relevant properties. The historical developments of these numbers are also presented. Other numbers will be briefly covered. At the end, we present two different didactic schemes for teaching these concepts in class.