A identidade de Euler e suas constantes
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2019-12-20
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Universidade Federal de Goiás
Resumo
Teaching math by telling its story can elucidate a series of questions that highlight the need for students to understand the context in which some content is inserted. Such
questions may be: who invented mathematics? Why do I need to study this content? In
addition, this procedure can be a way of illustration as lessons and motivating students,
thus obtaining more significant results in the teaching and learning process.
Knowing how mathematics has developed and who its creators and discoverers
are critical to making sense of the content of basic education, often taken as done
and _nished, as mechanical and without a story that characterizes its discovery or
creation. It is in order to bring such elements to this stage of teaching that this paper
proposes to objectively report the life and legacy of a brilliant and extremely creative
mathematician, Leonhard Euler. As well, emphasize some of his creations present in
basic education.
It is also proposed to highlight one of his creations, , the identity of
Euler, considered one of the most beautiful of all time. Telling the history of this
identity, followed by its demonstration and characterization of each of the constants
that compose it.
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REIS, A. S. A identidade de Euler e suas constantes. 2019. 47 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2019.