Elementary Differential Geometry
Andrew Pressley
- 2 ed.
- New York Springer 2010
- xi, 473 P. Ilustrado, Gráficas 23.5 cm.
Curves in the Plane and in Space - How Much Does a Curve Curve? - Global Properties of Curves - Surfaces in Three Dimensions - Examples of Surfaces - The First Fundamental Form - Curvature of Surfaces - Gaussian, Mean and Principal Curvatures - Geodesics - Gauss' Theorema Egregium - Hyperbolic Geometry - Minimal Surfaces - The Gauss-Bonnet Theorem