Rolle Theorem and Bolzano-Cauchy Theorem from the end of the 17th century to K. Weierstrass epoch

TL;DR

This paper traces the historical development of Rolle's Theorem and Bolzano-Cauchy Theorem from their origins in the late 17th century through the 19th century, highlighting their evolution and significance in mathematical analysis.

Contribution

It provides a comprehensive historical analysis of the development of two fundamental theorems in calculus from 1690 to the end of the 19th century.

Findings

Historical origins of Rolle's Theorem and Bolzano-Cauchy Theorem detailed.

Evolution of the theorems' formulations and proofs over two centuries.

Impact of these theorems on the foundation of analysis.

Abstract

A history of two Rolle Theorems, about the root of derivative and about root interval from 1690 till the end of XIX century.