THE PROBLEM THAT HAS EULER FAMOUS

Authors

  • Jairo Gayo UTFPR
  • Roy Wilhelm Probst Universidade Tecnológica Federal do Paraná (UTFPR)

DOI:

https://doi.org/10.5902/2179460X12973

Keywords:

Problema da Basileia, Leonhard Euler, História da Matemática.

Abstract

http://dx.doi.org/10.5902/2179460X12973

In this study we present the Basel Problem whose answer has Leonhard Euler famous. Presents the Euler’s Proof which long contained a passage regarded as incorrect, but that after the Weierstrass Factorization Theorem was accepted. Also addresses other resolutions to the problem, its geometric representation and an application. It also discusses, through this problem, the importance of the History of Mathematics for the teacher of this discipline.

Downloads

Download data is not yet available.

Author Biographies

Jairo Gayo, UTFPR

Mestre em Matemática (PROFMAT)

Roy Wilhelm Probst, Universidade Tecnológica Federal do Paraná (UTFPR)

Departamento Acadêmico de Matemática - Campus Curitiba

Published

2015-08-07

How to Cite

Gayo, J., & Probst, R. W. (2015). THE PROBLEM THAT HAS EULER FAMOUS. Ciência E Natura, 37, 342–355. https://doi.org/10.5902/2179460X12973