Geodesic
A hisotry of two theorems of calculus: M. Rolle, B. Bolzano, A. Cauchy
Antiquitates Mathematicae, Tome 7 (2013), pp. 165-181.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The paper is devoted to a story of the well-known Rolle's theorem: If the function is continuous on [a, b], differentiable in (a, b) and f (a) = f (b), then there exists in (a, b ) at least one point c such that f'(c) = 0. A history of the associated statements about the roots of a continuous function: If the function f is continuous on [a, b] and has different signs at the ends of the interval, then in (a, b) there is at least one point c such that f (c) = 0. This theorem in the twentieth century has been called the Bolzano-Cauchy's theorem.
DOI : 10.14708/am.v7i0.572
Classification : 60,90
Mots-clés : history of mathematics, history of science, calculus 
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Galina Iwanowna Sinkiewicz. A hisotry of two theorems of calculus: M. Rolle, B. Bolzano, A. Cauchy. Antiquitates Mathematicae, Tome 7 (2013), pp.  165-181. doi : 10.14708/am.v7i0.572. http://geodesic.mathdoc.fr/articles/10.14708/am.v7i0.572/

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