A teoria elementar dos inteiros de Gauss

• Ano de defesa: 2019
• Autor(a) principal: Batista, Paulo Henrique Alves
• Orientador(a): Dias, Ivonildes Ribeiro Martins
• Banca de defesa: Rodrigues, Paulo Henrique de Azevedo, Veras, Daiane Soares, Dias, Ivonildes Ribeiro Martins
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Goiás
• Programa de Pós-Graduação: PROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME)
• Departamento: Instituto de Matemática e Estatística - IME (RG)
• País: Brasil
• Palavras-chave em Português: Inteiros; Inteiros de Gauss; Ternos pitagóricos
• Palavras-chave em Inglês: Integers; Gauss integers; Phytagoream theorems
• Área do conhecimento CNPq: CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/10226

This work refers to the importance of the arithmetic properties of the integers in the comprehension of the abstracts structures as Gauss integers Z[i] subset of complex numbers(C) a alarm information is the little relevance that this topic receives by math teachers of elementary school, This research is a bibliographic work in order to promote a theoretical survey by the main results which are around the sts Z and Z[i], This work has the intention of mobilise the math teachers who might have math dominium on Z arithmetic properties, because they will give them the possibilities to estabilish a parallel between Z and Z[i] and consequently to describe the equalities and differences between the analysed structures, The research was divided in three chapters, Initially were exposed the main results referents to the set Z and a priori of properties that will be valid to the set Z[i],then it will be done a detailed approach about the characteristics of Z[i] and a suggestion of math application of Z[i] that could be developed at the elementary education, in high school third grade concerning to the determination of all possible Pythagoras theorems derived from a value previously fixed to the hypotenuse right triangule , During al the work its visible the intense search on a strict mathematical achieved by intentional form, in order to promote to the math teachers the opportunity if knowing or deepen the math knowledges through other abstracts structures, in this case the set Z[i].