可视化在《复变函数》教学中的运用  

Application of Visualization in《Complex Function》Teaching

作　　者：王泽龙[1] 谢美华[1] 

机构地区：[1]国防科技大学理学院,长沙410073

出　　处：《高等数学研究》2016年第4期56-57,60,共3页Studies in College Mathematics

基　　金：湖南省"十二五"教育科学规划课题(XJK014CGD002)

摘　　要：复变函数作为二维复空间到二维复空间的映射需要四维空间表示,故诸多概念、定理较为抽象,学生理解困难.本文主要介绍了初等函数的可视化与可视化在多连通区域的积分以及黎曼面等教学中的运用,加深学生对知识的理解,提高教师课堂教学效果.As a mapping from 2D complex space to 2D complex space, complex function is presented in 4D space, so many conceptions and theorems are abstract and difficult for Students to understand. This paper introduces the visualization of elementary functions, and the applications of visualization of integrations on multiply connected domain and Riemann surface, which can deepen students＂ understanding of acknowledge and make the teaching more effective.

关 键 词：复变函数 可视化 教学效果 

分 类 号：O174.5[理学—数学]