Lebesgue积分的产生和意义  

Creation of Lebesgue Integrals and its Significance

作　　者：施培成[1] 

机构地区：[1]郑州华信学院基础教学部,河南郑州451100

出　　处：《高等数学研究》2011年第6期54-57,共4页Studies in College Mathematics

摘　　要：论述Lebesgue积分产生的背景和思想形成过程,重点介绍直观、想象、类比、猜测等思维形式在Lebesgue积分产生过程中所发挥的作用.In this paper, we review briefly the background of the birth of Lebesgue integration and the process of its development. We focus typically on the roles of intuition, imagination, analogies, thought forms, and anticipations played in the process.

关 键 词：RIEMANN积分 LEBESGUE积分 测度 可测函数 

分 类 号：O174.1[理学—数学]