Differential Geometry by Balazs Csikos

The aim of this textbook is
to give an introduction to differential geometry. Topics covered includes:
Categories and Functors, Linear Algebra, Geometry, Topology, Multivariable
Calculus, Ordinary Differential Equations, The Notion of a Curve, The Length of
a Curve, Plane Curves, Osculating Spheres, Hypersurfaces in R n, Manifolds,
Differentiation of Vector Fields and Integration of Differential Forms.

**Author(s):** Balazs Csikos

354 Pages