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Bernoulli numbers have played an important role in different areas of mathematics, including differential and integral calculus, real and complex analysis, number theory, and topology. The objective of this article is to explain the origin of Bernoulli numbers as a tool for quadrature calculus and, in particular, for power series expansion of hyperbolic and trigonometric functions expanding. Subsequently, Bernoulli numbers will be used to calculate values of the Riemann Zeta function, from which the solution to the Basel problem is deduced. The sum of some numerical series is also determined.
Este obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional.
