# Bolzano-Weierstrass Theorem/Historical Note

## Historical Note on Bolzano-Weierstrass Theorem

The Bolzano-Weierstrass Theorem is a crucial property of the real numbers discovered independently by both Bernhard Bolzano and Karl Weierstrass during their work on putting real analysis on a rigorous logical footing.

It was originally referred to as **Weierstrass's Theorem** until Bolzano's thesis on the subject was rediscovered.

## Sources

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