Differential Geometry

Xiaojun Liu, Mar 10, 2015

Materials for explain some of the ideas in do Carmo's book Differetial geometry for curves and surfaces

Table of Contents

  1. Curves
    1. The tangent and curvature of circle
    2. The curvature and Frenet trihedron for spiral curve

1.

Curves

  • 1. The tangent and curvature of circle
  • 2. The curvature and Frenet trihedron for spiral curve

1.1.

The tangent and curvature of circle

Use circle to illustrate the concept of tangent and curvature
– Xiaojun Liu

1.2.

The curvature and Frenet trihedron for spiral curve

Use spiral to demostrate tangent, normal vector and binormal vector, Frenet trihedron
– Xiaojun Liu

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