Um estudo sobre construções dos Números Reais
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Data
2015-03-06
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Universidade Federal de Goiás
Resumo
The main objective of this paper is to present the subtle passage of rational numbers to the
real numbers, using a construction via Dedekind cuts and other by Cauchy sequences .We
present a construction of rational numbers by equivalence classes, so that the reader has a
foundation that serves as a support for a good understanding of proposed constructions of
real numbers . We use the axiomatic method for buildings that are made on real numbers,
in order to show the existence of an orderly and complete field and characterize it. It
is also discussed, and a more synthesized form, the real numbers and its application to
elementary and high school students.
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QUEIROZ, F. M. Um estudo sobre construções dos Números Reais. 2015. 114 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015.