A First Course in Geometric Topology and Differential Geometry
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In this book a number of intuitively appealing definitions and theorems concerning surfaces in the topological, polyhedral and smooth cases are presented from the geometric view.
Point set topology is restricted to subsets of Euclidean spaces. Included are the classification of compact surfaces, the Gauss-Bonnet Theorem and the geodesic nature of length minimizing curves on surfaces.
Point set topology is restricted to subsets of Euclidean spaces. Included are the classification of compact surfaces, the Gauss-Bonnet Theorem and the geodesic nature of length minimizing curves on surfaces.
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