Meanings of 'algebra' and 'analysis' between two Encyclopedias: From the Enlightenment to the Great War

摘要

The meanings given to the terms "algebra" and "analysis", separately or jointly in expressions like "algebraic analysis", have changed over time, even simultaneously being used with significant differentiating shades. I will focus on the period between the publication, from 1751 on, of the Encyclopédie edited by Diderot and D'Alembert, and the publication from 1899 on, of the Encyk-lopadie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen, driven by F. Klein. The latter was translated into French with slight additions, under the direction of J. Molk,from 1904 until 1915, when the process was interrupted by the Great War (1914-1918), which also marks the end of the period covered in this paper.