微分幾何（一）
Fall 2022
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 B103 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