# Mathematician:Nicolaus I Bernoulli

## Contents

## Mathematician

Swiss mathematician who worked on probability theory, geometry and differential equations.

Most of his important work can be found in his correspondence, particularly with Pierre Raymond de Montmort, in which he introduced the St. Petersburg Paradox.

He also corresponded with Leonhard Paul Euler and Gottfried Wilhelm von Leibniz.

Son of Nicolaus Bernoulli and so nephew of Jacob Bernoulli and Johann Bernoulli.

## Nationality

Swiss

## History

- Born: 21 Oct 1687, Basel, Switzerland
- Died: 29 Nov 1759, Basel, Switzerland

## Theorems

- The St. Petersburg Paradox
- The Basel Problem
- Closed Form for Number of Derangements on Finite Set (later independently solved by Leonhard Paul Euler)

## Publications

- Assisted in the publication of Jacob Bernoulli's
*Ars Conjectandi*. - Edited Jacob Bernoulli's complete works.

## Also see

## Also known as

**Nicolaus I Bernoulli** is also known as **Nicolas Bernoulli**.

Some sources spell the name **Nikolaus**.

Some sources use **Niclaus**, but this may be erroneous.

1937: Eric Temple Bell: *Men of Mathematics* refers to **Nicolaus I Bernoulli** as **Nicolaus II Bernoulli**, which appears to arise from a confusion between Nicolaus Bernoulli (1662 – 1716) and Nicolaus II Bernoulli (1695 – 1726).

## Sources

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

- 1971: Allan Clark:
*Elements of Abstract Algebra*... (previous) ... (next): Chapter $2$: The Symmetric Groups: $\S 78 \alpha$ - 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): A List of Mathematicians in Chronological Sequence - 1992: David Wells:
*Curious and Interesting Puzzles*... (previous) ... (next): The misaddressed letters - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): A List of Mathematicians in Chronological Sequence - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $6$: Curves and Coordinates: Cartesian coordinates