Congruências modulares : construindo um conceito e as suas aplicações no ensino médio

The purpose of this dissertation is to present to the students of basic education a powerful tool in the resolution of Arithmetic such as Modular Congruence. We initiate our study by approaching the main basics concepts of Number Theory: Divisibility, Eucledian Division, Greatest Common Divisor, Rem...

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Detalhes bibliográficos
Autor: Barbosa Junior, José Hélio
Formato: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2013
País:Brasil
Recursos:Universidade Federal de Sergipe (UFS)
Repositorio:Repositório Institucional da UFS
Idioma:portugués
OAI Identifier:oai:oai:ri.ufs.br:repo_01:riufs/6502
Acesso em linha:https://ri.ufs.br/handle/riufs/6502
Access Level:acceso abierto
Palavra-chave:Matemática - Estudo e ensino
Ensino médio
Números naturais
Aritmética
Geometria euclidiana
Congruências e restos
Congruências modulares
Divisibilidade
Divisor
Restos
Aritmética modular
Partilha de senhas
Arithmetic
Congruences and residues
Mathematics
Numbers, Natural
Remainders
Modular Arytmetics
Intergers
CIENCIAS EXATAS E DA TERRA::MATEMATICA
Descrição
Resumo:The purpose of this dissertation is to present to the students of basic education a powerful tool in the resolution of Arithmetic such as Modular Congruence. We initiate our study by approaching the main basics concepts of Number Theory: Divisibility, Eucledian Division, Greatest Common Divisor, Remainder modular arytmetics, culminating with Modular Congruence and its applications: Chinese Remainder Theorem and Intergers.