April 2016
Intermediate to advanced
430 pages
8h 58m
English
Content preview from Differential Geometry of Curves and Surfaces, 2nd Edition
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Contents
1 Plane Curves: Local Properties
1.2 Position, Velocity, and Acceleration
1.4 Osculating Circles, Evolutes, and Involutes
2 Plane Curves: Global Properties
2.4 Curvature, Convexity, and the Four-Vertex Theorem
3 Curves in Space: Local Properties
3.1 Definitions, Examples, and Differentiation
3.2 Curvature, Torsion, and the Frenet Frame
3.3 Osculating Plane and Osculating Sphere
4 Curves in Space: Global Properties
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