O Último Teorema de Fermat módulo um inteiro

This work presents the Last Fermat's Theorem in its modular version. The initial explanation is a historical approach to the Last Fermat's Theorem, an overview on some particular cases and the path to its complete proof. Then, one explore and present some results obtained from the study of...

Descripción completa

Detalles Bibliográficos
Autor: Pereira, Juliana Fernandes [UNIFESP]
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2019
País:Brasil
Institución:Universidade Federal de São Paulo (UNIFESP)
Repositorio:Repositório Institucional da UNIFESP
Idioma:portugués
OAI Identifier:oai:repositorio.unifesp.br:11600/59319
Acceso en línea:https://sucupira.capes.gov.br/sucupira/public/consultas/coleta/trabalhoConclusao/viewTrabalhoConclusao.jsf?popup=true&id_trabalho=7643311
https://repositorio.unifesp.br/handle/11600/59319
Access Level:acceso abierto
Palabra clave:Fermat's Last Theorem
Fermat's Last Theorem Modulo An Integer
Resolution Of Congruences
Último Teorema De Fermat
Último Teorema De Fermat Módulo Um Inteiro
Resolução De Congruências
Descripción
Sumario:This work presents the Last Fermat's Theorem in its modular version. The initial explanation is a historical approach to the Last Fermat's Theorem, an overview on some particular cases and the path to its complete proof. Then, one explore and present some results obtained from the study of this theorem when it is considered modulo an integer number, which is a little known subject but completely explored. Finally, it presents a teaching plan to work arithmetic concepts related to the Last Fermat's Theorem and to the Last Fermat's Theorem modulo an integer number (not in general form) for students at the final years of Elementary and High School, with historical and modeling approach.