Números reais: conceitos e representações

This work is mainly focused on the exploration of the concept of real numbers with emphasis on its decimal representation and correspondence with the straight. Its main feature is the use of a constructive process for numerical sets using definitions and axioms of Peano and Dedekind. Moreover, throu...

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Detalhes bibliográficos
Autor: Ramos, Alex Mofardini
Formato: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2014
País:Brasil
Recursos:Universidade Federal do Espírito Santo (UFES)
Repositorio:Repositório Institucional da Universidade Federal do Espírito Santo (riUfes)
Idioma:portugués
OAI Identifier:oai:repositorio.ufes.br:10/4826
Acesso em linha:http://repositorio.ufes.br/handle/10/4826
Access Level:acceso abierto
Palavra-chave:Numerical sets
Real numbers
Dedekind cuts
Decimal representation
Number line
Conjuntos numéricos
Números reais
Cortes de Dedekind
Representação decimal
Reta numérica
Matemática
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Descrição
Resumo:This work is mainly focused on the exploration of the concept of real numbers with emphasis on its decimal representation and correspondence with the straight. Its main feature is the use of a constructive process for numerical sets using definitions and axioms of Peano and Dedekind. Moreover, throughout the text, there is a clear search for the reader motivation with a large amount of examples, observations and suggestions for the use of computing resources before, during and after the introduction of new concepts, definitions and results.