Following the steps of spanish mathematical analysis: from Cauchy to Weierstrass between 1880 and 1914

Abstract

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