by Balazs Csikos
Publisher: Eötvös Loránd University 2010
Number of pages: 123
Contents: Basic Structures on Rn, Length of Curves; Curvatures of a Curve; Plane Curves; 3D Curves; Hypersurfaces; Surfaces in the 3-dimensional space; The fundamental equations of hypersurface theory; Topological and Differentiable Manifolds; The Tangent Bundle; The Lie Algebra of Vector Fields; Differentiation of Vector Fields; Curvature; Geodesics.
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by Noel J. Hicks - Van Nostrand
A concise introduction to differential geometry. The ten chapters of Hicks' book contain most of the mathematics that has become the standard background for not only differential geometry, but also much of modern theoretical physics and cosmology.
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These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate level, which the author has taught. This texts has an early introduction to differential forms and their applications to Physics.
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