Existência e Unicidade dos Números Reais via Cortes de Dedekind
This work aims to show the existence and Uniqueness of the field of Real Numbers, using for this, Dedekind' Cuts theorem and the Definition by Recursion.To fulfill his goal, we define the notion of Dedekind Cut and present some of its properties; then introduce the notions of Archimedean Ordere...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| 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/7505 |
| Acceso en línea: | https://repositorio.ufpb.br/jspui/handle/tede/7505 |
| Access Level: | acceso abierto |
| Palabra clave: | Números reais Real numbers Cortes de Dedekind Corpo ordenado completo Isomorfismo Dedekind cut Complete field sorted Isomorphism MATEMATICA::MATEMATICA APLICADA |
| Sumario: | This work aims to show the existence and Uniqueness of the field of Real Numbers, using for this, Dedekind' Cuts theorem and the Definition by Recursion.To fulfill his goal, we define the notion of Dedekind Cut and present some of its properties; then introduce the notions of Archimedean Ordered and Field, Complete Field Sorted and finally articulate and demonstrate the Uniqueness Theorem of Field Real Numbers. |
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