Definition:Weierstrass Function/Historical Note

Historical Note on Weierstrass Function

Karl Weierstrass first discussed a real function which was continuous everywhere but differentiable nowhere in his lectures in $1861$.

The explicit construction given here did not appear in print until one of his students published it (with Weierstrass's permission) in $1874$.

Sources

• 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.33$: Weierstrass ($\text {1815}$ – $\text {1897}$)