摘要
积分不等式是数学分析的一个重要内容.针对曲线积分和曲面积分不等式问题,本文利用条件极值及曲线积分和曲面积分的性质建立几个不等式,并给予证明,旨在培养学生的创新和发散思维能力,也为教师在教学过程中提供一些思想方法.
Integral inequality is an important element in mathematical analysis teaching .Some curvilinear integral and surface integral inequalities are structured and proven using conditional extremum and properties of curvilinear integral and surface integral in this paper .The aim is to cultivate students'innovation ability and di-vergent thinking ability , but also offer some ways of thinking in teacher's teaching process .
出处
《渤海大学学报(自然科学版)》
CAS
2014年第1期8-11,96,共5页
Journal of Bohai University:Natural Science Edition
基金
辽宁省高等教育教学改革基金资助项目(No:2009134)
关键词
曲线积分
曲面积分
不等式
条件极值
curvilinear integral
surface integral
inequality
conditional extremum