Resumen de Following the steps of spanish mathematical analysis: From Cauchy to Weierstrass between 1880 and 1914

José Miguel Pacheco Castelao , F. Javier Pérez Fernández , Carlos O. Suárez

• Rigorous Mathematical Analysis in the Cauchy style was not accepted in a straightforward manner by the European mathematical community of the central years of the 19'h Century. In average, only around forty years after the 1821 Cours d'Analyse did Cauchy's treatment become a standard in the more mathematically advanced countries, as a paradigm that remained in use until the arithmetisation of Analysis by Weierstrass replaced it before the end of the century. In this paper the authors show how rigorous Mathematical Analysis a la Cauchy was adopted in Spain quite late -around 1880- and how in sorne more forty years, the Weierstrassian formulation became the usual presentation in Spanish texts.