Mathematician:Daniel Bernoulli

Mathematician

Dutch / Swiss mathematician who worked mostly on hydrodynamics, 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) (also known as the Euler-Bernoulli Law)
• Bernoulli's Principle
• Bernoulli's Hanging Chain Problem

• Bernoulli's Equation (in the context of fluid mechanics)
  • Definition:Bernoulli's Constant

Results named for Daniel Bernoulli can be found here.

Definitions of concepts 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)

• 1732: Theoremata de oscillationibus corporum filo flexili connexorum et catenae verticaliter suspensae (Commentarii Acad. Sci. Imp. Pet. Vol. 6: pp. 108 – 122)

• 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

• The Bernoulli Family

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): $1$: The Nature of Differential Equations: $\S 6$: 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): Daniel Bernoulli (1700-1782)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): 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): Bernoulli family