Book:Andrew Pressley/Elementary Differential Geometry

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Andrew Pressley: Elementary Differential Geometry

Published $\text {2001}$, Springer

ISBN 1-85233-152-6

Subject Matter


1: Curves in the Plane and in Space
2: How Much Does a Curve Curve?
3: Global Properties of Curves
4: Surfaces in Three Dimensions
5: The First Fundamental Form
6: Curvature of Surfaces
7: Gaussian Curvature and the Gauss Map
8: Geodesics
9: Minimal Surfaces
10: Gauss's Theorema Egregium
11: The Gauss-Bonnet Theorem