Daniel Bernoulli
Who was Daniel Bernoulli?
Swiss mathematician (1700-1782)
Biographical data adapted from Wikipedia’s article on Daniel Bernoulli (CC BY-SA 4.0).
Biography
Daniel Bernoulli was born on February 8, 1700, in Groningen, in the Dutch Republic, into a well-known family of mathematicians. His father, Johann Bernoulli, was a leading mathematician, and his uncle Jakob made key contributions to probability theory. Despite this family background, Daniel faced some challenges. His father initially wanted him to pursue a career in commerce and only reluctantly allowed him to study mathematics. Daniel studied at the University of Basel, Heidelberg University, and the University of Strasbourg, eventually earning a degree in medicine, which he both practiced and taught along with his mathematical work.
Bernoulli's most famous work came with the publication of Hydrodynamica in 1738, an important study of fluid mechanics. In it, he described what became known as Bernoulli's principle, which says that an increase in the speed of a fluid happens with a decrease in pressure or potential energy. This principle, based on the conservation of energy, helped explain phenomena like the flow of water in pipes, the lift of aircraft wings, and carburetor function. The book was the result of years of careful observation and mathematical study and is still highly influential in physics.
Besides his work in fluid mechanics, Bernoulli made important contributions to probability and statistics. He developed the concept of moral expectation to improve the mathematical expectation in probability theory, noting that the value of money decreases with increasing wealth. This idea arose from his study of the St. Petersburg paradox, a decision theory problem highlighting the limits of using expected monetary value alone in rational decision-making. His solution anticipated key economic ideas, including diminishing marginal utility.
Bernoulli held academic positions at the Saint Petersburg Academy of Sciences from 1725 to 1733, and later at the University of Basel, where he taught botany, physiology, and physics. He was elected a Fellow of the Royal Society, recognizing his status among the leading scientists of his time. His work connected several disciplines when natural philosophy, mathematics, and medicine were often overlapping fields, and he frequently corresponded with leading intellectuals like Leonhard Euler.
Daniel Bernoulli died on March 27, 1782, in Basel, where his family and scholarly work were based. By his death, he had made significant achievements in physics, mathematics, and medicine, winning the prize of the Paris Academy of Sciences ten times, illustrating the quality and originality of his contributions.
Before Fame
Daniel Bernoulli was surrounded by a world filled with mathematical ideas. His father, Johann Bernoulli, and uncle, Jakob Bernoulli, were key figures in the development of calculus-based mathematics flourishing in Europe during the late 1600s and early 1700s. Even with this background, Daniel's father initially pushed him toward a career in commerce. Eventually, Daniel was allowed to study medicine, attending Basel, Heidelberg, and Strasbourg universities. This medical training gave him a foundation in empirical observation that later influenced his work on fluid flow and physiology.
His academic path took a significant turn when he accepted a position at the Saint Petersburg Academy of Sciences in 1725. Catherine I of Russia had recently founded this institution to introduce European intellectual culture to her court. While there, he worked with Leonhard Euler to develop and refine ideas about fluid mechanics and probability, which would cement his reputation. His time in Saint Petersburg was both productive and formative. When he returned to Basel in 1733, he completed the manuscript that would become Hydrodynamica.
Key Achievements
- Formulated Bernoulli's principle relating fluid speed and pressure, foundational to aerodynamics and hydraulics
- Published Hydrodynamica in 1738, establishing the mathematical framework for fluid mechanics
- Introduced moral expectation and the concept of diminishing marginal utility through his analysis of the St. Petersburg paradox
- Developed an early kinetic theory of gases, anticipating later thermodynamic theories by over a century
- Elected Fellow of the Royal Society and won the Paris Academy of Sciences prize ten times
Did You Know?
- 01.Bernoulli won the Grand Prize of the Paris Academy of Sciences ten times, a record for the period, covering topics from astronomy to magnetism to ship design.
- 02.His father Johann Bernoulli was so jealous of the success of Hydrodynamica that he attempted to backdate his own related work, Hydraulica, to make it appear that Daniel had copied him rather than the reverse.
- 03.Bernoulli proposed an early kinetic theory of gases in Hydrodynamica, suggesting that the pressure of a gas results from the motion of its particles, an idea more than a century ahead of its general acceptance.
- 04.He introduced the concept of moral expectation to resolve the St. Petersburg paradox, which had been posed by his cousin Nikolaus Bernoulli, making the solution a family intellectual affair.
- 05.Although he held a chair in botany and anatomy at Basel for several years, his interests and publications were primarily in physics and mathematics, illustrating the breadth expected of academic polymaths in the eighteenth century.
Family & Personal Life
Awards & Honors
| Award | Year | Details |
|---|---|---|
| Fellow of the Royal Society | — | — |