Differential geometry is a branch of mathematics that applies differential and integral calculus to planes, space curves, surfaces in three-dimensional space, and geometric structures on differentiable manifolds. It is closely related to differential topology and to the geometric aspects of the theory of differential equations.
A broad range of topics may be studied in differential geometry, and those include, but are not limited to:
There are many places to find great books on differential geometry, and as usual, a good place to start looking is Amazon.com. Remember to check out the Journal of Differential Geometry which is published under the copyright of Lehigh University in Bethlehem, Pennsylvania.
Other useful links may include:
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