中文摘要：

本文介绍如何在数学分析课程中引入傅里叶变换以及利用傅里叶变换说明魏尔斯特拉斯函数的无处可微性．

英文摘要：

It is considered how to introduce Fourier transform and establish its main properties in the course of mathematical analysis. Based on these works, we think it is not difficult to show the nowhere- differentiability of Weierstrass＇s function, which is continuous everywhere.