Maple在古典微分几何中的一些应用  

Some Applications of Maple in Classical Differential Geometry

作　　者：李文婷[1] 姚明臣[1] 李媛[1] Li Wenting;Yao Mingchen;Li Yuan

机构地区：[1]黑龙江大学数学科学学院,黑龙江哈尔滨150080

出　　处：《科教文汇》2018年第32期45-46,共2页Journal of Science and Education

基　　金：黑龙江大学新世纪教育教学改革工程项目(2017C64)资助

摘　　要：本文从经典微分几何入手,探究Maple在数学几何图形中的应用。由于经典的微分几何中有很多的计算性问题,手工计算十分繁琐,本文将利用Maple中的强大符号计算能力以及图形的分析能力,通过具体的例子,结合古典微分几何的曲线论与曲面论中一些常规变量来做出计算,最后利用Maple的图形绘制功能,来生动地展现几何图形的形状。Abstract Starting from classical differential geometry,this paper explores the applications of Maple in geometric figures.As there are many computational problems in classical differential geometry,and manual calculation is complicated,this paper will use the powerful functions of symbolic computation and figure analysis in Maple to make a calculation of concrete examples combined with some conventional variables in the curve theory and the curved surface theory of classical differential geometry,and finally use the graphing function of Maple to vividly display geometric shapes.

关 键 词：微分几何 MAPLE 曲率与挠率 绘图 

分 类 号：G642[文化科学—高等教育学]