Differential Geometry of Curves and Surfaces, Second Edition takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive computer graphics applets suppor

chapter Chapter 1|46 pages

Plane Curves: Local Properties

chapter Chapter 2|24 pages

Plane Curves: Global Properties

chapter Chapter 3|32 pages

Curves in Space: Local Properties

chapter Chapter 4|22 pages

Curves in Space: Global Properties

chapter Chapter 5|40 pages

Regular Surfaces

chapter Chapter 6|81 pages

The First and Second Fundamental Forms

chapter Chapter 7|25 pages

The Fundamental Equations of Surfaces

chapter Chapter 8|81 pages

The Gauss-Bonnet Theorem and Geometry of Geodesics

chapter Chapter 9|21 pages

Curves and Surfaces in n-dimensional Euclidean Space