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空间曲线任一点处的自然坐标系(Frenet标架)以及曲线在该点的曲率和挠率列为高等师范院校物理专业的高等数学教学大纲所要求的内容。作为向量微分运算仅仅安排了两个学时,所以不能介绍微分几何中的有关严密推证。
The natural coordinate system (Frenet frame) at any point of the space curve and the curvature and torsion of the curve at this point are listed in the syllabus for higher mathematics of the physics majors in normal universities. As a vector differential operation, only two learning hours are arranged. Therefore, it is not possible to introduce strict derivations in differential geometry.