Elementos de álgebra que auxiliam nos fundamentos do cálculo

Detalhes bibliográficos
Ano de defesa: 2015
Autor(a) principal: Freitas, Iron Felisberto de lattes
Orientador(a): Carvalho, Marcos Leandro Mendes lattes
Banca de defesa: Carvalho, Marcos Leandro Mendes, Santana Filho, Jolivê Mendes de, Silva, Edcarlos Domingos da
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Goiás
Programa de Pós-Graduação: Programa de Pós-graduação em Matemática (IME)
Departamento: Instituto de Matemática e Estatística - IME (RG)
País: Brasil
Palavras-chave em Português:
Área do conhecimento CNPq:
Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/4786
Resumo: This paper addresses the formal-logical construction of number systems from the set of natural numbers to the real numbers. Being the rst of these sets presented by the axioms of Peano (1858 - 1932) and the latter results of Dedekind cuts (1831 - 1916) on the set of rational numbers. The passage the set of natural numbers to the integers and for these the rational is done by equivalence classes. From a historical perspective, in order to do that mathematics could advance, had to migrate from a sense of \reality" to an abstract concept of number not subject to the amount of idea. Since the beginning of this formal-logical construction of number systems it is necessary to use the concept of correspondences between any two non-empty sets. Finally , are also addressed the polynomial functions of 1st and 2nd degrees and the respective charts in orthogonal Cartesian plane.