Um estudo sobre o in nito: enumerabilidade e densidade dos conjuntos numéricos

This study aims to expose the history and the emergence of numerical sets, and to examine each of them through the study of in nity. This concept is a barrier for many due to its complexity and abstraction, however, if well understood, can be noted how important tool in mathematics. For this work, i...

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Detalles Bibliográficos
Autor: SILVA, Wysner Max de Lima
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2016
País:Brasil
Institución:Universidade Federal do Triangulo Mineiro (UFTM)
Repositorio:Biblioteca Digital de Teses e Dissertações da UFTM
Idioma:portugués
OAI Identifier:oai:bdtd.uftm.edu.br:tede/397
Acceso en línea:http://bdtd.uftm.edu.br/handle/tede/397
Access Level:acceso abierto
Palabra clave:Conjuntos Numéricos
Cardinalidade
Enumerabilidade e Densidade
Cardinais Transfinitos
Numerical Sets
Cardinality
Enumerability and Density
Transfinite Cardinal Number
Conjuntos
Descripción
Sumario:This study aims to expose the history and the emergence of numerical sets, and to examine each of them through the study of in nity. This concept is a barrier for many due to its complexity and abstraction, however, if well understood, can be noted how important tool in mathematics. For this work, it had been necessary the use of important concepts inside in mathematics as enumerability, cardinality, prime numbers, numerical sets, functions, Newton's Binomial, geometry, analytical geometry as well as the studies about Cantor sets and trans nite cardinal numbers.