Euler y el entrañable encanto del quehacer matemático

Abstract

We present an approach to the problem of mathematical intelligibility in a theoretical framework that privileges the synergy between the historic, logical and didactic. The problem of Basel is described in detail, as a case of the simplest and most attractive in the beginning of calculus and aims to commemorate the third centenary of Euler’s birth. Also, we intend to show how the knowledge of the history of mathematical thought can be leveraged to promote mathematical intelligibility and unravel some of the charm that Math has. Original sources are used as Euler (2000) with the Introducción al Análisis de los Infinitos recently published in Spanish and other updated references: Dunham (2000), Dunham (2007), Sanchez & Valdés (2004), that can be used as complementary documents. In short, the author’s claim is to convey the authentic and intimate charm of mathematical endeavor.