18.100A | Fall 2020 | Undergraduate, Graduate

Real Analysis

Lecture 18: Weierstrass's Example of a Continuous and Nowhere Differentiable Function

Description: We can show that differentiability implies continuity, but does continuity imply differentiability? We use the continuity and oscillatory nature of sine and cosine to prove the existence of Weierstrass’ continuous but nowhere differentiable function.

Speaker: Casey Rodriguez

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Fall 2020
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