Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal
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Jean-Gaston Darboux's Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal is a four-volume work published between 1887 and 1896. This significant publication delves into infinitesimal geometry, consolidating much of Darboux's prior research.1
The book explores the general theory of surfaces and the geometric applications of infinitesimal calculus. This field, known as differential geometry, investigates the intrinsic properties of curves and surfaces using differential calculus. A surface itself is a two-dimensional collection of points, which can be flat or curved, or the boundary of a three-dimensional solid. The study of surfaces involves concepts like curvature. Darboux also made contributions to analysis, including Darboux's theorem, which relates to the intermediate value theorem for derivatives.234
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