DIFFERENTIAL GEOMETRY


Meaning of DIFFERENTIAL GEOMETRY in English

Field of mathematics in which methods of calculus are applied to the local geometry of curves and surfaces (i.e., to a small portion of a surface or curve around a point).

A simple example is finding the tangent line on a two-dimensional curve at a given point. Similar operations may be extended to calculate the curvature and length of a curve and to analogous properties of surfaces in any number of dimensions.

Britannica English dictionary.      Английский словарь Британика.