Resolução de algumas equações em números inteiros

In this work we present some resolution techniques of equations whit intergers coefficients. Such equations although they' re very similar, presents quite different techniques from each other. we show wich are the interger solutions of the equations like x²+y² = z² e x-² + y-² = z-², as the are...

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Detalles Bibliográficos
Autor: Pontes, Ambrósio Elias de Araujo
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2013
País:Brasil
Institución:Universidade Federal da Paraíba (UFPB)
Repositorio:Biblioteca Digital de Teses e Dissertações da UFPB
Idioma:portugués
OAI Identifier:oai:repositorio.ufpb.br:tede/7657
Acceso en línea:https://repositorio.ufpb.br/jspui/handle/tede/7657
Access Level:acceso abierto
Palabra clave:Equações com números inteiros
Equações de Pitágoras
Teorema de Fermat
MATEMATICA::MATEMATICA APLICADA
Descripción
Sumario:In this work we present some resolution techniques of equations whit intergers coefficients. Such equations although they' re very similar, presents quite different techniques from each other. we show wich are the interger solutions of the equations like x²+y² = z² e x-² + y-² = z-², as the are know as the Pythagorean equations. we also present brief history about the Fermat' s last teorem and we show that the equation x + y4 = z4 has no interger solution.