Mathematica在曲线论,曲面论中的应用(1)

Application of Mathematica in the Curve Theory and Surface Theory

Mathematica是一种多功能的数学应用软件系统。它牵涉到数学的各个领域,具有输入简单,立刻得到结果等特点。文章作为Mathematica在微分几何上的应用,初步介绍在Mathematica上如何处理关于曲线的曲率和挠的问题。即曲率和挠率的计算,曲率和挠率的图形表示以及由给出的曲率和挠率画出曲线等。

Mathematica is an applied multi-functional software system of mathematics.It covers every domain of mathematics. It has he characteristics of simple input and immediate result. For the application of Mathematica in the differential geometry, this paper introduces how to processe the curve curvature and the torsion questions, the graphic expression of the curvature and the torsions, and draw curves by the curvature and the torsions.