Book:Andrew Pressley/Elementary Differential Geometry

Andrew Pressley: Elementary Differential Geometry

Published $\text {2001}$, Springer

ISBN 1-85233-152-6

Subject Matter

• Differential Geometry

Contents

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