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Mathematical Treasure: Goursat’s Calculus Classic

Author(s): 
Frank J. Swetz (The Pennsylvania State University)

Édouard Goursat (1858-1936) was a renowned French analyst who taught for many years at the University of Paris. When his work Cours d'analyse mathématique was first published in 1902-1913, it immediately became a classic of calculus. This study of calculus in three volumes introduced many new concepts into the teaching of the subject: for example, it was the first to attach the name of l’Hospital to “l’Hospital’s Rule” for evaluating limits involving indeterminate forms. In 1904, Earle Raymond Hedrick (1876-1943) translated Volume I of the French work into English.

Title page of Volume one of A Course in Mathematical Analysis (English translation of Goursat's Course d'analyse mathematique from 1904)

The “Translator’s Preface” explains the need and desire for such a text in the United States.

Translator's preface of Volume one of A Course in Mathematical Analysis (English translation of Goursat's Course d'analyse mathematique from 1904)

The table of “Contents” gives the scope of Volume I.

First page of table of contents for Volume one of A Course in Mathematical Analysis (English translation of Goursat's Course d'analyse mathematique from 1904)

Second page of table of contents for Volume one of A Course in Mathematical Analysis (English translation of Goursat's Course d'analyse mathematique from 1904)

These images were obtained through the courtesy of the University of California’s Digital Library. The book may be viewed in its entirety in the Internet Archive.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Goursat’s Calculus Classic," Convergence (March 2018)

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