Detalhes bibliográficos
| Ano de defesa: |
2015 |
| Autor(a) principal: |
Freitas, Iron Felisberto de
 |
| Orientador(a): |
Carvalho, Marcos Leandro Mendes
|
| 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. |
