Abstract

VARGAS BIESUZ, Bruno E.. Set of numbers and two ways to understand "π" number. Fides Et Ratio [online]. 2017, vol.13, n.13, pp.95-105. ISSN 2071-081X.

Abstract It is well known that the irrational "pi, of wide application in mathematics, is the ratio between the length of a circumference and the diameter that this generates. However there is another way of understanding this number, this is through the calculation of a part of the circumference and this is done with tools of integral calculus. The method used for this purpose is the mathematical analysis, and the result obtained is the verification of the established proposal. It intends to verify that the integral of a function over a given interval, also turns to be "pi" number. Carried out some considerations, mathematical operations and calculations, ay the end of this paper, the expected result is reached. Therefore, the surface of a half circumference is also the "pi" number, this is an non arithmetic alternative interpretation of this fundamental mathematical constant.

Keywords : Set of numbers; irrational number; "number, definite integral.

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