Numericamente igual a π
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Data
2013-03-01
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Universidade Federal de Goiás
Resumo
This paper aims at introducing the science which is behind the most intriguing number known
to history, the number . It has challenged generations of researchers who have tried to determine
its value and articulate several areas of Mathematics such as Geometry, Algebra and Analysis. The
quotient of ratio between the measure of the length of a circumference and the measure of its diameter
are what de ne . Some historical references such as Archimedes, Euler, Leibniz and Lindemann have
signi cantly contributed with the methods to precise . The rst real academic approach to this ratio
was studied by the greatest mathematician of antiquity, Archimedes, when he created an instructive
process for the study of the limits. With the unsolvable problem of the quadrature of the circle,
ingenious geometrical constructions are born, in order to allow the drawing, with a ruler and compass,
of a square having the same area as a previous given circle. The evolution of the forms employed in
order to calculate have become more evident with the introduction of Analysis applied under the
foundations of Calculus. At that time, the Series come to life, indispensable tools allowing the study
of the behaviour of its decimal places. Along with the advances brought by them, the investigations
turned towards the classi cation concerning the rationality or the irrationality of the number. In
the end, we will present some contextualization and propose exercises with the aim of stimulating the
search for knowledge.
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Citação
MARQUES, Túlio Guimarães. Numericamente igual a π. 2013. 77 f. Dissertação (Mestrado Profissional em Matemática em Rede) - Universidade Federal de Goiás, Goiânia, 2013.