微分幾何(一)
Fall 2019
樂美亨
Course Information
課程名稱:微分幾何(一)
英文課名:Differential Geometry (I)
課程時間:週五 13:20~16:20
課程地點:理學院 C004 教室 / 理圖 801 教室
Course Topics
- Curve
- Parametrized Curves
- Arc Length Parameterization
- Curvature and Torsion
- Frenet Frame
- Fundamental Theorem of Curves
- Surface
- Parametrized Surface
- First and Second Fundamental Forms
- Mean and Gauss Curvatures
- Geodesics
- The Gauss-Bonnet Theorem
References
Manfredo P. Do Carmo, Differential Geometry of Curve and Surfaces (Textbook)
Barrett O'Neill, Elementary Differential Geometry
Theodore Shifrin, Differential Geometry: A First Course in Curves and Surfaces
Alfred Gray, Modern Differential Geometry of Curves and Surfaces
MATLAB Resources