微分幾何(一)
Fall 2024
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:公館 S201 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
- Theodore Shifrin, Differential Geometry: A First Course in Curves and Surfaces
- Manfredo P. Do Carmo, Differential Geometry of Curve and Surfaces
- Barrett O'Neill, Elementary Differential Geometry
MATLAB Resources