La cuadratura gaussiana según Gauss
Historical and pedagogical value for mathematicians and historians interested in the original development of Gaussian quadrature.
This paper provides a Spanish translation and commentary of Gauss's 1815 memoir on quadrature rules, highlighting his original approach using series and continued fractions, which differs from modern textbook treatments.
This article is an abridged and commented translation into Spanish of the 1815 memoir where Gauss introduced the quadrature rules now associated with his name. Gauss' work does not resemble at all the stardard text-book treatment of Gaussian quadrature. The original memoir is an example of mathematical virtuosity, based on a superb use of series, where the problem is reformulated as a problem in functional approximation that is solved by means of continued fractions.