多元函数积分计算方法的数学思想研究  

Research on the mathematical thoughts in the calculation methods for the multivariate function integral

作　　者：彭定涛[1] 

机构地区：[1]贵州大学理学院,贵州贵阳550025

出　　处：《教育教学论坛》2014年第46期187-190,共4页Education And Teaching Forum

基　　金：贵州大学引进人才科研项目(201343);贵州大学2014年高等教育重点研究项目

摘　　要：多元函数积分是学生掌握的重点和难点,其积分种类多,计算方法非常繁杂。本文总结了多元函数多种积分计算方法的数学思想,并指出这些思想都来源于人们的日常生活经验。教学实践表明这有助于学生理解和掌握这些方法。The multivariate function integral is a key and difficult part for students to master,since there are many kinds of integral and many kinds of calculation methods. In this paper,the author summarizes the mathematical thoughts behind several kinds of calculation methods for the integral,and points out that these thoughts come from our experience of daily life. Teaching practice shows that it can help students to understand and master these methods.

关 键 词：多元函数积分 计算方法 数学思想 教学研究 

分 类 号：G642.0[文化科学—高等教育学]