# Bolzano's Continuous but Nowhere Differentiable Function

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Bolzano discovered this continuous but nowhere differentiable function before 1831, but these investigations were not published until 1930. Weierstrass found an analogous function in 1875. The function is the limit of the ones graphed as .

Contributed by: Izidor Hafner (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

K. A. Rybnikov, *A History of Mathematics* (in Russian), Moscow: Moscow University Press, 1974 pp. 336–339.

## Permanent Citation

"Bolzano's Continuous but Nowhere Differentiable Function"

http://demonstrations.wolfram.com/BolzanosContinuousButNowhereDifferentiableFunction/

Wolfram Demonstrations Project

Published: March 7 2011