Abstract
Elliptic functions are not studied by mathematical students unless they are specialists in mathematical analysis, yet a knowledge of the most important elementary facts about these functions is essential for advanced work in many branches of pure and applied mathematics. Prof. Humbert's object is to supply this information in a conveniently brief form. Starting with the elementary theory of residues and contour integrals, the author introduces the notion of periodic functions defined by integrals: doubly periodic functions then follow, leading to the p function and some of its most useful properties. We then get the £ and σ functions, and finally modular functions are touched upon. The book forms a clearly written introduction which cannot but encourage the student to seek for further and more detailed information in standard treatises.
Introduction à l'étude des fonctions elliptiques à l'usage des étudiants des facultés des sciences.
Prof.
P.
Humbert
Par. Pp. 38. (Paris: J. Hermann, 1922.) 3 francs.
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B., S. Introduction à l'étude des fonctions elliptiques à l'usage des étudiants des facultés des sciences . Nature 110, 308 (1922). https://doi.org/10.1038/110308c0
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DOI: https://doi.org/10.1038/110308c0
