Wiktionary
n. (context geometry English) Study of geometry using differential calculus.
Wikipedia
Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry. The theory of plane and space curves and surfaces in the three-dimensional Euclidean space formed the basis for development of differential geometry during the 18th century and the 19th century.
Since the late 19th century, differential geometry has grown into a field concerned more generally with the geometric structures on differentiable manifolds. Differential geometry is closely related to differential topology and the geometric aspects of the theory of differential equations. The differential geometry of surfaces captures many of the key ideas and techniques characteristic of this field.
Usage examples of "differential geometry".
The University had allegedly closed down its faculties of paranormal phenomena and antitechnology to make room for arts, sciences, engineering, and business, and there were free public lectures on everything from differential geometry and molecular evolution to space engineering and nuclear physics.
Analytic Functions of the Complex Variable~ An Introduction to Differential Geometry and the Theory of Curvature.
Kathryn hoped to take her differential geometry course in her senior year.
It even went on to curious versions of negatives, irrationals, imaginaries, approximational calculus, differential geometry, theory of equations, and much else of whose Terran equivalents he was ignorant.