再谈积分学——宏积分

Further on Integral Calculus:Macro Integral

积分学包括不定积分、定积分、二重积分、三重积分、曲线积分和曲面积分。尽管不同的积分概念来自不同的实际背景,然而它们通过数学思维抽象出来的方法是类似的。因此,通过将各类积分定义的模式整合归一,给出宏积分定义、拓展及性质,以便学生领悟数学抽象思维的魅力,并进一步理解积分概念的深刻内涵。

Integral calculus includes indefinite integral, definite integral, double integral and triple integral, curve integral and surface integral. Although different integral concept from different actual background, however, their mathematical thinking of abstracting method is similar. Therefore, through the integration of all kinds of integral definition mode into one, macro integral definition, development and nature are given, so that students can understand the charm of mathematics abstract thinking, and to further understand the profound connotation of the concept of integral.