Following the steps of spanish mathematical analysisFrom Cauchy to Weierstrass between 1880 and 1914

  1. Pacheco Castelao, José Miguel
  2. Pérez Fernández, F. Javier
  3. Suárez, Carlos O.
Revista:
Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum

ISSN: 1130-4723

Año de publicación: 2008

Volumen: 20

Número: 1-2

Páginas: 119-136

Tipo: Artículo

Otras publicaciones en: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum

Resumen

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.