【摘要】 探讨了连续而无处可导函数的历史发展过程及其证明的主要思想方法 .由此给出了连续而无处可导函数的十分简洁的构造方法和证明方法 .最后 ,给出结论 :无处可导是连续函数的典型性质更多还原

【Abstract】 The authors probe into the historical development of continous functions which are nowhere differentiable and the major way of thinking in its proof .As a result ,simple and convenient approaches to its formation have been found and finally a conclusion that nowhere differetiable is a typical property of continuous function is reached.更多还原