Exploring An Everywhere Continuous But Nowhere Differentiable Function

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  • Real Analysis by Prof. S.H. Kulkarni, Department of Mathematics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in.
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  • Let A(x) = |x| for x in [-1,1], and extended periodically with period L=2. Then the

In-Depth Information on An Everywhere Continuous But Nowhere Differentiable Function

We give an example of a In 1872, Karl Weierstrass presented a mathematical "monster"—a The myth that continuity implies We construct a family of

Let A(x) = |x| for x in [-1,1], and extended periodically with period L=2. Then the

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