Mathematical Treasure: Calculus and Analysis of Augustin-Louis Cauchy

Author(s):

Frank J. Swetz (The Pennsylvania State University)

Among the texts written by Augustin-Louis Cauchy (1789-1857) for the use of his students at France’s École Polytechnique was Résumé des Leçons sur le Calcul Infinitésimal (1823).

Title page of Résumé des Leçons sur le Calcul Infinitesimal by Augustin-Louis Cauchy, 1823

A review of the “Table of Contents” reveals topics familiar to a modern student of calculus.

First page of table of contents for Résumé des Leçons sur le Calcul Infinitesimal by Augustin-Louis Cauchy, 1823

Second page of table of contents for Résumé des Leçons sur le Calcul Infinitesimal by Augustin-Louis Cauchy, 1823

Third page of table of contents for Résumé des Leçons sur le Calcul Infinitesimal by Augustin-Louis Cauchy, 1823

Fourth page of table of contents for Résumé des Leçons sur le Calcul Infinitesimal by Augustin-Louis Cauchy, 1823

In 1821, Cauchy published Cours D’Analyse. This was Part I of his Analyse Algébrique.

Title page of Cours D'Analyse by Augustin-Louis Cauchy, 1821

Introductory text from Cours D'Analyse by Augustin-Louis Cauchy, 1821

For more images of Cauchy’s Cours D’Analyse, see “Mathematical Treasure: Cauchy’s Cours d‘Analyse” in Convergence.

The images above are presented courtesy of ETH-Bibliothek Zürich and complete versions of both works (Calcul Infinitesimal and Cours D’Analyse) are available via e-rara.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Calculus and Analysis of Augustin-Louis Cauchy," Convergence (August 2018)

Convergence

Tags:

History of Mathematics