摘要
针对两类曲面积分教学中的几个疑难问题,归纳了计算方法,总结出处理曲面积分计算应掌握的几个基本规律,揭示曲面积分的本质。在计算中,通过把积分曲面投影到坐标平面上,将曲面积分转化为标准的重积分。为了简化重积分的计算,一要选择合适的投影坐标面,二要采用适当的坐标变换。
In view of several difficult problems in the teaching of two kinds of surface integral,the calculation methods are summarized,and some basic rules that should be mastered in the calculation of surface integral,and reveals the essence of surface integral.It is necessary to transform the surface integral into the standard multiple integral by projecting the integral surface onto the coordinate plane.In order to simplify the calculation of double integral,we should choose the appropriate projection coordinate surface and adopt the appropriate coordinate transformation.
作者
齐小军
QI Xiao-jun(College of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,China)
出处
《辽东学院学报（自然科学版）》
CAS
2023年第1期73-76,共4页
Journal of Eastern Liaoning University:Natural Science Edition
关键词
曲面积分
坐标变换
积分曲面
投影
重积分
surface integral
coordinate transformation
integral surface
projection
multiple integral
