# nLab Augustin Cauchy

Augustin-Louis Cauchy was a pioneer in analysis and group theory. He wrote an influential 1821 textbook, Cours d'Analyse.

Cauchy described the basic concepts of differential and integral calculus in terms of limits. His conception of limits was based on infinitesimal variables, which do not appear as such in modern mathematics, although they have been variously identified with sequences (that converge to zero), ultrafilters (that converge to zero), hyperpoints? (in the infinitesimal neighbourhood of zero) in the sense of nonstandard analysis, etc. (His infinitesimals were not nilpotent.)

Cauchy's student Karl Weierstrass defined limits in terms of Richard Dedekind's static conceptions of real number and function, creating modern analysis.

Cauchy is associated with:

category: people

Last revised on November 14, 2017 at 06:06:06. See the history of this page for a list of all contributions to it.