# Mathematician:Thomas Joannes Stieltjes

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## Contents

## Mathematician

**Thomas Joannes Stieltjes** was a Dutch mathematician whose main fields of study included continued fractions and measure theory.

## Nationality

Dutch

## History

- Born: 29 Dec 1856, Zwolle, Overijssel, The Netherlands
- 1873: Started studies at Polytechnical School of Delft
- 1875-76: Failed examinations
- April 1877: Became assistant astronomer at Leiden Observatory, via his influential father
- 23 June 1878: Father died in Rotterdam
- 8 November 1882: Began a correspondence with Charles Hermite
- 1 January 1883: Allowed by Van de Sande-Bakhuyzen, the director of Leiden Observatory, to work more on mathematical topics
- May 1883: Married Elizabeth Intveld (who encouraged him to give up astronomy for mathematics)
- September 1883: Asked to substitute at the University of Delft for F J van den Berg, who was ill
- 1 December 1883: Resigned from observatory, joined staff of University of Delft full-time
- 1883-84: Failed to gain a position at Groningen because of his lack of a degree
- 1884: Failed, because of a missed communication, to gain a position at Leiden
- April 1885: Went with his family to Paris
- 1885: Elected to the Royal Academy of Sciences in Amsterdam
- 1886: Received doctorate of science for a thesis on asymptotic series
- 1886: Appointed to the University of Toulouse
- 1889: Appointed to a chair of differential and integral calculus in Toulouse
- Died: 31 Dec 1894 in Toulouse, France

## Theorems and Definitions

- Stieltjes Function
- Lebesgue-Stieltjes Integral (with Henri Lebesgue)
- Laplace-Stieltjes Transform (with Pierre-Simon de Laplace)
- Riemann-Stieltjes Integral (with Bernhard Riemann)
- Stieltjes Moment Problem
- Chebyshev-Markov-Stieltjes Inequalities (with Pafnuty Chebyshev} and Andrey Andreyevich Markov)
- Fourier-Stieltjes Coefficients (with Joseph Fourier)

Definitions of concepts named for **Thomas Joannes Stieltjes** can be found here.

## Publications

- 18 June 1894:
*Recherches sur les fractions continues*

## Also known as

His name can also be seen rendered as **Thomas Jan Stieltjes**.