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Considers differential geometry, looking at vectors, curve theory, torsion, topology, surfaces, tensor analysis and intrinsic geometry. The text contains 500 solved problems to aid comprehension.
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Table of Contents
Vectors.Vector Functions of Real Variable.Concept of Curve.Curvature and Torsion.Theory of Curves.Elementary Topology in Euclidean Spaces.Vector Functions of Vector Variable.Concept of Curve.First and Second Fundamental Forms.Theory of Surfaces.Tensor Analysis.Intrinsic Geometry.Appendix.Existence Theorem for Curves.Existence Theorem for Surfaces.