
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 th...
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http://en.wikipedia.org/wiki/Differential_geometry

branch of mathematics that studies the geometry of curves, surfaces, and manifolds (the higher-dimensional analogs of surfaces). The discipline owes ... [3 related articles]
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http://www.britannica.com/eb/a-z/d/47

The study of geometry using calculus; it has many applications in physics, especially in the general theory of relativity. The objects studied by differential geometry are known as Riemannian manifolds (see manifold). These are geometrical objects, such as surfaces, that locally look like Euclidean ...
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http://www.daviddarling.info/encyclopedia/D/differential_geometry.html

the branch of mathematics that deals with the application of the principles of differential and integral calculus to the study of curves and surfaces.
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https://www.infoplease.com/dictionary/differential-geometry

a field of mathematics that uses the methods of differential and integral calculus (as well as linear and multilinear algebra) to study the geometry of curves and surfaces
Found on
https://www.storyofmathematics.com/glossary.html
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