differential geometry

differential geometry

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.

This entry comes from Encyclopædia Britannica Concise.
For the full entry on differential geometry, visit Britannica.com.

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