Eléments d'analyse de Karl Weierstrass

  title={El{\'e}ments d'analyse de Karl Weierstrass},
  author={Pierre Dugac},
  journal={Archive for History of Exact Sciences},
  • P. Dugac
  • Published 1973
  • Philosophy
  • Archive for History of Exact Sciences

Mathematical continua & the intuitive idea of continuity

The construction of an axiomatic system can help to defend arithmetical continuity, which is omnipresent in modern mathematics; yet, it is fraught with difficulties in relation to the infinite.


  • A. Martins
  • Philosophy
    Matemática e Ciência: construção, conhecimento e criatividade
  • 2019
Apesar de já na Antiguidade Clássica se ter reconhecido a existência de grandezas incomen-suráveis, não seria antes do século XIX que se estabeleceriam definições rigorosas do conceito de número

Weierstrass’s construction of the irrational numbers

We present an overview of the development of the irrational numbers due to Karl Weierstrass. This construction was first presented during lectures in the 1860s in Berlin. Weierstrass never published

Lettres de Charles Hermite à Gösta Mittag-Leffler (1884-1891)

© Cahiers du séminaire d’histoire des mathématiques, 1984, tous droits réservés. L’accès aux archives de la revue « Cahiers du séminaire d’histoire des mathématiques » implique l’accord avec les

Karl Weierstrass Bicentenary

Academic biography of Karl Weierstrass, his basic works, influence of his doctrine on the development of mathematics.

Did Weierstrass’s differential calculus have a limit-avoiding character? His definition of a limit in ϵ – δ style

In the 1820s, Cauchy founded his calculus on his original limit concept and developed his theory by using inequalities, but he did not apply these inequalities consistently to all parts of his

On some historical aspects of the theory of Riemann zeta function

This comprehensive historical account concerns that non-void intersection region between Riemann zeta function and entire function theory, with a view towards possible physical applications.

The early historical roots of Lee-Yang theorem

A deep and detailed historiographical analysis of a particular case study concerning the so-called Lee-Yang theorem of theoretical statistical mechanics of phase transitions, has emphasized what real

Infinitesimals in Spain: Antonio Portuondo's Ensayo sobre el infinito

In this paper the authors study the work of the Spaniard Antonio Portuondo on the theory of infinitesimals during the revival of this theory in the decade 1870-1880. An analysis of the book Ensayo


In this paper the authors study the work of the Spaniard Antonio Portuondo on the theory of infinitesimals during the revival of this theory in the years 1870-1880 of the 19 th Century. An analysis



Briefe von K. Weierstrass an Paul du Bois-Reymond

Gosta Mittag-Leffler (1846-1927) publizierte und annotierte in diesem Aufsatz eine Reihe von Briefen uberwiegend mathematischen Inhalts von Karl Weierstras (1815-1897) an den Mathematiker Paul du

Materials for the History of Mathematics in the Institut Mittag-Leffler

Magnus Gustav Mittag-Leffler (1846-1927) is best known to mathematicians and historians of science for the journal Acta Mathematica, which he founded in 1882 and which soon became acknowledged as one