Mathematica软件矢量分析功能及应用示例
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摘要
本文介绍Mathematica软件在矢量分析方面的功能,包括坐标系设置与变换、矢量的表示与运算、标量场的梯度以及矢量场的散度、旋度等相关矢量计算函数,简要分析了Mathematica软件在标量场和矢量场图形展示方面的基本功能,并以多点电荷空间电位场和磁力矩器空间磁场的空间分布为例进行了代码编写和结果展示,以期应用于相关课程的计算机辅助教学,提高课堂教学效果和课程学习兴趣。
In this paper the vector analysis functions of Mathematica software are described,including the coordinate system setting and transformation,the vector representation and operation,as well as the gradient of scalar field,the curl and divergence of vector field and so on. A brief analysis of Mathematica software in scalar field and vector field graphic displaying functions is also presented. Two examples including the potential field of charged particles and the magnetic field of magnetorquer are presented in order to help apply Mathematica to improve the teaching effect and learing interest that promote the computer-aided instruction of relevant courses.
In this paper the vector analysis functions of Mathematica software are described,including the coordinate system setting and transformation,the vector representation and operation,as well as the gradient of scalar field,the curl and divergence of vector field and so on. A brief analysis of Mathematica software in scalar field and vector field graphic displaying functions is also presented. Two examples including the potential field of charged particles and the magnetic field of magnetorquer are presented in order to help apply Mathematica to improve the teaching effect and learing interest that promote the computer-aided instruction of relevant courses.
引文
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[2]邵小桃,郭勇,李一玫.“电磁场与电磁波”课程的Matlab辅助教学[J].南京:电气电子教学学报,2010,32(5):111-113
[3]欧攀,林志立,江洁.Matlab数值计算在光学仿真和教学中的应用[J].石家庄:教育教学论坛,2012,38:80-81
[4]杜建明.Mathematica在电磁场理论中的应用[M].合肥:合肥工业大学出版社,2004年12月
[5]董键.Mathematica与大学物理计算[M].北京:清华大学出版社,2010年9月
[6]于凤梅,王克强,张麟.运用Mathematica软件辅助大学物理教学[J].北京:中国现代教育装备,2011,15:29-31