國立清華大學數學系 教授
美國加州大學爾灣分校數學系 博士
【領域】 | 幾何分析、幾何、黎曼幾何、 微積分、偏微分方程導論 |
【專長】 | 微分幾何、幾何分析 |
This is an introductory course on the theory of curves and surfaces in the three dimensional Euclidean space. After developing the theory of curves, we will study the geometry of a surface from both intrinsic and extrinsic point of view. Topics include first and second fundamental forms, various notions of curvature, and the famous Gauss-Bonnet theorem.
♠ | Prerequisites |
Successful completion of Linear Algebra and Advanced Calculus |
♠ | Differential geometry of curves and surfaces, by Manfredo P. Do |
Carmo. Prentice Hall. |
♠ | Elementary Differential Geometry, 2nd edition, A. Pressley, Springer, 2010. |
♠ | Elementary Differential Geometry, 2nd Edition, by Barrett O'Nell. |
♠ | Lectures. 講授,演習,討論. |
www.math.nthu.edu.tw/~cjsung/course/ug2018s.html |