# Michel Rolle

> French mathematician

**Wikidata**: [Q323234](https://www.wikidata.org/wiki/Q323234)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Michel_Rolle)  
**Source**: https://4ort.xyz/entity/michel-rolle

## Summary
Michel Rolle was a French mathematician best known for his contribution to calculus, specifically the formulation of Rolle's theorem, which establishes conditions for the existence of stationary points between two equal values of a differentiable function. His work remains foundational in mathematical analysis.

## Biography
- Born: April 21, 1652
- Nationality: French
- Education: Studied at the Collège Mazarin in Paris
- Known for: Formulating Rolle's theorem in calculus
- Employer(s): Collège Mazarin (Paris), where he taught mathematics
- Field(s): Calculus, mathematical analysis

## Contributions
- **Rolle's Theorem (1690)**: Rolle published a proof demonstrating that if a real-valued function is continuous on a closed interval and differentiable on the open interval, then there exists at least one point in the open interval where the derivative is zero. This theorem is a precursor to the Mean Value Theorem and is fundamental in calculus.

## FAQs
- **What is Michel Rolle known for?**
  Michel Rolle is known for his formulation of Rolle's theorem, a key result in calculus that establishes conditions for the existence of stationary points in differentiable functions.

- **Where did Michel Rolle work?**
  Rolle taught mathematics at the Collège Mazarin in Paris, where he contributed to the field of calculus.

- **When did Michel Rolle live?**
  Michel Rolle was born on April 21, 1652, and died on November 8, 1719.

## Why They Matter
Rolle's theorem is a cornerstone of mathematical analysis, providing a critical bridge between differential calculus and integral calculus. It influenced later developments in the Mean Value Theorem and remains a fundamental concept in teaching calculus. Without Rolle's work, the rigorous foundation of calculus would lack this essential theorem.

## Notable For
- Formulated Rolle's theorem, a foundational result in calculus
- Taught mathematics at the Collège Mazarin in Paris

## Body
### Early Life and Education
Michel Rolle was born on April 21, 1652. He attended the Collège Mazarin in Paris, where he studied mathematics. His early education laid the groundwork for his later contributions to calculus.

### Career and Teaching
Rolle taught mathematics at the Collège Mazarin, a prestigious institution in Paris. His teaching career focused on advancing the field of calculus, particularly through his work on differentiable functions.

### Mathematical Contributions
Rolle's most notable contribution is the theorem named after him, which states that if a function is continuous on a closed interval and differentiable on the open interval, there exists at least one point where the derivative is zero. This theorem is essential in calculus and has influenced subsequent developments in mathematical analysis.

### Legacy
Rolle's theorem remains a fundamental concept in calculus education and research. It is referenced in textbooks and continues to be studied by mathematicians worldwide. His work ensures that calculus maintains a rigorous and well-founded structure.

### Death
Michel Rolle passed away on November 8, 1719, leaving behind a lasting impact on the field of mathematics. His contributions to calculus are still celebrated and studied today.

## References

1. Biographie universelle ancienne et moderne
2. MacTutor History of Mathematics archive
3. Great Soviet Encyclopedia (1969–1978)
4. BnF authorities
5. Integrated Authority File
6. Virtual International Authority File
7. Histoire de l'académie royale des sciences. Avec les mémoires de mathématique & de physique
8. Gran Enciclopèdia Catalana
9. Croatian Encyclopedia
10. La France savante
11. Freebase Data Dumps. 2013
12. CERL Thesaurus