UM ESTUDO FUNDAMENTAL SOBRE NÚMEROS COMPLEXOS FAZENDO RELAÇÃO AOS NÚMEROS REAIS

Abstract

The present work has as objective to make a grounded study on the numbers complex, presenting in a very detailed way all concepts: definitions, properties and propositions/ theorem in relation to complex numbers. In addition, the geometric representations of some operations involving complex numbers. In the methodological approach, the qualitative research of bibliographic nature, that from this investigation it was noticed some differences in the behavior of concepts in the set of real numbers compared to the set of complex numbers. These concepts of real numbers are learned by students in Mathematics in high school, that is, they are notions where these students are already used to. In view of these aspects, in this work, the study carried out on the complex numbers aimed to build a narrative from the historical point of view, where the history of complex numbers allows us to visualize how and why they arose these numbers, that is, their appearance was not by chance, but because of the need for resolutions of grade 3 equations.