# Mikhail Ostrogradsky

> Ukrainian mathematician (1801–1861)

**Wikidata**: [Q355892](https://www.wikidata.org/wiki/Q355892)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Mikhail_Ostrogradsky)  
**Source**: https://4ort.xyz/entity/mikhail-ostrogradsky

## Summary
Mikhail Ostrogradsky was a Ukrainian mathematician who lived from 1801 to 1861. He is known for his contributions to mathematical analysis, particularly in the development of rigorous methods in calculus and differential equations. His work laid foundational principles that influenced modern mathematical theory.

## Biography
- Born: September 12, 1801, in Kharkiv, Russian Empire
- Nationality: Ukrainian
- Education: Studied at the Kharkiv Lyceum and later at the Kharkiv University, where he earned a master's degree in mathematics
- Known for: Pioneering work in mathematical analysis and differential equations
- Employer(s): Kharkiv University, Military Engineering-Technical University, St. Petersburg State Transport University
- Field(s): Mathematics, Mathematical analysis, Physics

## Contributions
- Developed rigorous methods in mathematical analysis, including the Ostrogradsky formula, which expresses the determinant of a solution to a first-order system of homogeneous linear differential equations.
- Contributed to the divergence theorem, a generalization of the fundamental theorem in vector calculus.
- Published notable works such as "Memoire sur les integrales definies" (1829), which introduced new techniques in integration.
- Served as a professor at Kharkiv University and later at the Military Engineering-Technical University, where he taught mathematics and physics.
- His research in mathematical analysis and differential equations provided foundational principles that influenced later developments in the field.

## FAQs
### What was Mikhail Ostrogradsky's primary field of study?
Mikhail Ostrogradsky was primarily a mathematician, specializing in mathematical analysis and differential equations. His work focused on developing rigorous methods in calculus and related areas of mathematics.

### Where did Mikhail Ostrogradsky receive his education?
Mikhail Ostrogradsky studied at the Kharkiv Lyceum and later at Kharkiv University, where he earned a master's degree in mathematics. His educational background laid the foundation for his contributions to mathematical analysis.

### What are some of Mikhail Ostrogradsky's notable publications?
Mikhail Ostrogradsky published several notable works, including "Memoire sur les integrales definies" (1829), which introduced new techniques in integration. His publications contributed to the development of mathematical analysis.

### Where did Mikhail Ostrogradsky work during his career?
Mikhail Ostrogradsky worked at Kharkiv University, the Military Engineering-Technical University, and the St. Petersburg State Transport University. His teaching and research positions allowed him to influence the field of mathematics.

### What is Mikhail Ostrogradsky known for in the field of mathematics?
Mikhail Ostrogradsky is known for his pioneering work in mathematical analysis and differential equations. His contributions, such as the Ostrogradsky formula and the divergence theorem, laid foundational principles that influenced modern mathematical theory.

## Why They Matter
Mikhail Ostrogradsky's contributions to mathematical analysis and differential equations were foundational to the development of rigorous methods in calculus. His work, particularly the Ostrogradsky formula and the divergence theorem, provided essential tools for later mathematicians and scientists. By establishing a more precise framework for mathematical analysis, Ostrogradsky's research influenced the broader field of mathematics and its applications in physics and engineering. His legacy continues to be recognized in academic circles, where his methods remain relevant in modern mathematical studies.

## Notable For
- Pioneering work in mathematical analysis, including the development of the Ostrogradsky formula.
- Contributions to the divergence theorem, a key concept in vector calculus.
- Publication of "Memoire sur les integrales definies" (1829), which introduced new techniques in integration.
- Teaching positions at Kharkiv University, the Military Engineering-Technical University, and the St. Petersburg State Transport University.
- Influence on modern mathematical theory through rigorous methods in calculus and differential equations.

## Body
### Early Life and Education
Mikhail Ostrogradsky was born on September 12, 1801, in Kharkiv, Russian Empire. He attended the Kharkiv Lyceum and later enrolled at Kharkiv University, where he earned a master's degree in mathematics. His educational background provided the foundation for his contributions to mathematical analysis.

### Career and Academic Positions
Mikhail Ostrogradsky served as a professor at Kharkiv University, where he taught mathematics and physics. He later held positions at the Military Engineering-Technical University and the St. Petersburg State Transport University. His teaching and research roles allowed him to influence the field of mathematics.

### Contributions to Mathematical Analysis
Mikhail Ostrogradsky made significant contributions to mathematical analysis, including the development of the Ostrogradsky formula. This formula expresses the determinant of a solution to a first-order system of homogeneous linear differential equations, providing a rigorous method for solving such systems. His work also included the divergence theorem, a generalization of the fundamental theorem in vector calculus.

### Notable Publications
Mikhail Ostrogradsky published several notable works, including "Memoire sur les integrales definies" (1829). This publication introduced new techniques in integration and contributed to the development of mathematical analysis. His research in differential equations and calculus provided essential tools for later mathematicians and scientists.

### Influence and Legacy
Mikhail Ostrogradsky's contributions to mathematical analysis and differential equations were foundational to the development of rigorous methods in calculus. His work, particularly the Ostrogradsky formula and the divergence theorem, influenced modern mathematical theory. His legacy continues to be recognized in academic circles, where his methods remain relevant in modern mathematical studies.

## References

1. Source
2. www.accademiadellescienze.it
3. MacTutor History of Mathematics archive
4. Great Soviet Encyclopedia (1969–1978)
5. Integrated Authority File
6. Mathematics Genealogy Project
7. Czech National Authority Database
8. [Source](https://www.google.cat/books?id=QknmdyZgkn4C)
9. [Source](https://tools.wmflabs.org/heritage/api/api.php?action=search&srid=53-220-0057&format=html&srcountry=ua&srlang=uk&props=image%7Cname%7Caddress%7Cmunicipality%7Clat%7Clon%7Cid%7Ccountry%7Csource%7Cmonument_article%7Cregistrant_url)
10. [Mikhail Vasilievich Ostrogradsky. American Academy of Arts and Sciences](https://www.amacad.org/person/mikhail-vasilievich-ostrogradsky)
11. International Standard Name Identifier
12. Virtual International Authority File
13. Q137170397
14. BnF authorities
15. Freebase Data Dumps. 2013
16. CONOR.SI
17. [Source](https://uinp.gov.ua/istorychnyy-kalendar/veresen/24/1801-narodyvsya-myhaylo-ostrogradskyy-vydatnyy-matematyk)
18. CERL Thesaurus
19. Bibliography of the History of the Czech Lands