在柱面坐标系下三重积分计算的一种新方法  

A New Method for Triple Integral Calculation in Cylindrical Coordinates

作　　者：邓进 DENG Jin(School of science,Hunan Institute of Engineering,Xiangtan Hunan 411104,China)

机构地区：[1]湖南工程学院理学院,湖南湘潭411104

出　　处：《科技视界》2018年第30期170-172,共3页Science & Technology Vision

摘　　要：三重积分计算的常规思路是将其转化为累次积分,其中的关键是确定累次积分各自的积分上限和积分下限。本文运用数学中的类比思想,对直角坐标系下三重积分计算的经典投影法进行类比,研究柱面坐标下三重积分的计算,得到一种新的投影法。本文结果将完善柱面坐标下三重积分计算的投影法。The conventional way of triple integral calculation is to transform it into successive integrals,and the key is to determine the upper and lower bounds of these integrals respectively.In this paper,the classical projection method for calculating triple integral in rectangular coordinates is analogized by using the analogy idea in mathematics,and the calculation of triple integral in cylindrical coordinate system is studied,and a new projection method is obtained.The results of this paper will make the projection method for calculating the triple integral in cylindrical coordinates more complete.

关 键 词：三重积分 累次积分 积分上限 积分下限 投影法 

分 类 号：O172.2[理学—数学]