A teoria elementar dos inteiros de Gauss
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2019-11-08
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Universidade Federal de Goiás
Resumo
This work refers to the importance of the arithmetic properties of the integers in the
comprehension of the abstracts structures as Gauss integers Z[i] subset of complex
numbers(C) a alarm information is the little relevance that this topic receives by math teachers
of elementary school, This research is a bibliographic work in order to promote a theoretical
survey by the main results which are around the sts Z and Z[i], This work has the intention of
mobilise the math teachers who might have math dominium on Z arithmetic properties,
because they will give them the possibilities to estabilish a parallel between Z and Z[i] and
consequently to describe the equalities and differences between the analysed structures, The
research was divided in three chapters, Initially were exposed the main results referents to
the set Z and a priori of properties that will be valid to the set Z[i],then it will be done a
detailed approach about the characteristics of Z[i] and a suggestion of math application of Z[i]
that could be developed at the elementary education, in high school third grade concerning to
the determination of all possible Pythagoras theorems derived from a value previously fixed
to the hypotenuse right triangule , During al the work its visible the intense search on a strict
mathematical achieved by intentional form, in order to promote to the math teachers the
opportunity if knowing or deepen the math knowledges through other abstracts structures, in
this case the set Z[i].
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BATISTA, Paulo Henrique Alves. A teoria elementar dos inteiros de Gauss. 2019. 79 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2019.