# Mathematician:Daniel Bernoulli

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## Contents

## Mathematician

Dutch / Swiss mathematician who worked mostly on fluid dynamics, probability theory and statistics.

Considered by many to be the first mathematical physicist.

Son of Johann Bernoulli and the brother of Nicolaus II Bernoulli and Johann II Bernoulli.

Famously suffered from the jealousy and bad temper of his father Johann Bernoulli who, among other unpleasantnesses, tried to steal his *Hydrodynamica* and pass it off as his own, naming it *Hydraulica*.

At age $11$ was taking lessons in mathematics from his elder brother Nicolaus II Bernoulli.

Intimate friend with and friendly rival of Leonhard Paul Euler.

## Nationality

Dutch / Swiss

## History

- Born: 8 Feb 1700, Groningen, Netherlands
- 1725: Became professor of mathematics at St. Petersburg
- 1733: Returned to Basel
- Died: 17 March 1782, Basel, Switzerland

## Theorems and Definitions

- Euler-Bernoulli Beam Equation (with Leonhard Paul Euler)
- Bernoulli's Principle
- Bernoulli's Hanging Chain Problem

Results named for **Daniel Bernoulli** can be found here.

## Publications

- 1724:
*Exercitationes*(Mathematical Exercises) (with Christian Goldbach) - 1728:
*Obseruationes de seriebus recurrentibus*(*Commentarii Acad. Sci. Imp. Pet.***Vol. 3**: pp. 85 – 100) - 1738:
*Hydrodynamica* - 1738:
*Specimen Theoriae Novae de Mensura Sortis*("Exposition of a New Theory on the Measurement of Risk") - 1954:
*Exposition of a New Theory on the Measurement of Risk*(*Econometrica***Vol. 22**: pp. 23 – 36) www.jstor.org/stable/1909829

## Also see

## Sources

- John J. O'Connor and Edmund F. Robertson: "Daniel Bernoulli": MacTutor History of Mathematics archive

- 1937: Eric Temple Bell:
*Men of Mathematics*... (previous) ... (next): Chapter $\text{VIII}$: Nature or Nurture? - 1972: George F. Simmons:
*Differential Equations*... (previous) ... (next): $\S 1.6$: The Brachistochrone. Fermat and the Bernoullis - 1991: David Wells:
*Curious and Interesting Geometry*... (previous) ... (next): A Chronological List Of Mathematicians - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**Daniel Bernoulli**(1700-1782) - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**Daniel Bernoulli**(1700-1782) - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $6$: Curves and Coordinates: Cartesian coordinates - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**Bernoulli family**