Elementos de álgebra que auxiliam nos fundamentos do cálculo
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Data
2015-03-27
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Universidade Federal de Goiás
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.
Descrição
Palavras-chave
Conjuntos , Símbolos , Linguagem matemática , Sistemas numéricos , Funçoes , Par abola , Sets , Symbols , Language mathematics , Number systems , Functions , Parable
Citação
FREITAS, I. F. Elementos de álgebra que auxiliam nos fundamentos do cálculo. 2015. 135 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015.