Скачать или смотреть Weierstrass function explained: Continuous Everywhere, Differentiable Nowhere

In 1872, Karl Weierstrass presented a mathematical "monster"—a function that is continuous at every point but differentiable nowhere. This counterexample fundamentally changed how mathematicians understand Real Analysis.

In this video, we visualize the construction of the Weierstrass function using Manim, strictly define continuity and differentiability, and perform a step-by-step integration of this fractal curve.


Timecode:
0:00 Introduction: The Weierstrass Function: Definition
1:07 Continuity of a Function
3:10 Differentiability of a Function
4:28 The Weierstrass Function (Graph)
5:56 Integration of the Weierstrass Function


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