Principles of Mathematical Analysis | Topology | Introduction to Differential Geometry of Space Curves and Surfaces: Differential Geometry of Curves and Surfaces | Principles of Tensor Calculus: Tensor Calculus | Tensor Calculus Made Simple | Differential Geometry | Riemannian Geometry
The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.
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