Irracionalidade e transcendência: aspectos elementares

Abstract

The present work has as its perspective the characterization of Rational and Irrational numbers, and their due applicability and variations regarding the algebraic and transcendental aspects. It is known that the number e (of Euler) can be classified as a transcendental number, that is, those that are not roots of any polynomial that has integer coefficients. In this assumption, the Number should be considered existent and irrational. The objective of this research is to characterize the factors that comprise the Rational and Irrational Numbers, offering the necessary understanding regarding Number e and its action in Algebraic and Transcendent Numbers. As a methodological resource, a literature review was used, based on qualitative and quantitative factors, in order to reflect on the proposed theme. Thus, in this present research, we sought to present information within the best ways and possibilities to favor understanding, considering the difficulty around this respective theme, due to its abstract feature, which makes it difficult for many to understand. Therefore, we highlight the initiatives and arguments around this thematic principle as a way of possibly fostering the interest of many by the same, and that such work may be relevant to the research needs of others desirous by this universe of research.