例谈高等数学学习方法——一道习题玩转三重积分

Introduction to Advanced Mathematics Study Method by an Example about the Triple Integral

给出了一道三重积分计算题的七种不同的解答方法.通过这一道题的练习,使学生对三重积分的各种计算方法有一个全面的认识和掌握.借此启发学生学好高等数学并不需要搞题海战术,而是做一道题时要多层次、多角度地思考,边做边悟,以达到"以一敌百"的效果.

Seven different methods are given to calculate a triple integral in this paper. Students can have a comprehensive understanding and mastering to the triple integral through the comparison of various calculation methods for only one problem. To inspire students through it to know that learning advanced mathematics does not need to fall into the sea of problems, but rather to a multi-level, multi-angle thinking for every problem