Johann Bernoulli
Who was Johann Bernoulli?
Swiss mathematician (1667-1748)
Biographical data adapted from Wikipedia’s article on Johann Bernoulli (CC BY-SA 4.0).
Biography
Johann Bernoulli was born on August 6, 1667, in Basel, Switzerland, into a family famous for producing many talented mathematicians over several generations. He studied medicine and mathematics at the University of Basel, earning a doctorate in medicine while also exploring new mathematical ideas spreading across Europe. Though he briefly practiced medicine, his love for mathematics led him away from the medical field, and he dedicated his career to developing calculus, mechanics, and mathematical physics.
In 1695, Bernoulli became a professor of mathematics at the University of Groningen in the Netherlands, staying until 1705. He then returned to Basel to take his late brother Jacob Bernoulli's position as the chair of mathematics at the University of Basel. Bernoulli remained in Basel for the rest of his life, teaching and researching until he died on January 1, 1748. He married Dorothea Falkner, and they had several children, including Daniel Bernoulli, who also became a well-known mathematician and physicist.
One of Bernoulli's major achievements was his work on infinitesimal calculus, collaborating closely with Gottfried Wilhelm Leibniz. He was an early and strong supporter of Leibnizian calculus in Europe, helping to spread and refine these methods when the field was still new. He made important strides in differential equations, including what's now known as the Bernoulli differential equation, and he advanced the study of exponential functions and integrals, including a concept called the sophomore's dream.
Bernoulli was also a notably influential teacher. His most famous student was Leonhard Euler, whom he mentored as a young man in Basel. Euler went on to become one of the most productive mathematicians in history, with much of his early training under Bernoulli. Bernoulli also taught Guillaume de l'Hôpital by correspondence, and it's accepted that l'Hôpital's rule was actually discovered by Bernoulli, as part of an arrangement that allowed l'Hôpital to use Bernoulli's discoveries.
In acknowledgment of his contributions to science and mathematics, Bernoulli was elected a Fellow of the Royal Society in 1712. He also received recognition from the French Académie des Sciences and the Berlin Academy. Throughout his long career, he maintained extensive communication with leading mathematicians and scientists of his time, making him a central figure in early eighteenth-century European mathematics.
Before Fame
Johann Bernoulli was born into a merchant family in Basel, which had only recently taken up mathematics with his older brother Jacob. Despite family pressure to go into commerce or medicine, Johann was naturally good at and interested in math. He enrolled at the University of Basel and chose to study medicine as a practical compromise. He earned his doctorate with a thesis that applied math to studying how muscles contract.
While completing his medical education, he studied Leibniz's recently published work on differential calculus, learning and expanding on these methods mostly through private study and correspondence. By his mid-twenties, he was already producing original results and corresponding directly with Leibniz, becoming one of the leading experts in the new calculus even before holding any permanent academic position.
Key Achievements
- Made foundational contributions to infinitesimal calculus alongside and in correspondence with Leibniz
- Developed the Bernoulli differential equation, a significant class of first-order ordinary differential equations
- Tutored Leonhard Euler in his youth, directly shaping the development of one of history's greatest mathematicians
- Contributed to the mathematical results now known as the sophomore's dream, involving specific self-referential integrals
- Elected Fellow of the Royal Society in 1712 in recognition of his scientific and mathematical work
Did You Know?
- 01.Bernoulli secretly sold his mathematical discoveries to the French nobleman Guillaume de l'Hôpital, whose name was subsequently attached to the rule for evaluating limits that Bernoulli himself had derived.
- 02.Despite spending much of his academic career as a mathematician, Bernoulli earned his doctorate in medicine from the University of Basel, writing a dissertation on the mechanics of muscle movement.
- 03.Bernoulli had a notoriously contentious relationship with his son Daniel, and the two reportedly competed fiercely over priority for discoveries in physics and mathematics, including work on fluid dynamics.
- 04.He outlived most of his mathematical rivals and correspondents, dying in Basel at the age of eighty on 1 January 1748, having spent over five decades as an active researcher and teacher.
- 05.Bernoulli tutored Leonhard Euler privately in Basel when Euler was a teenager, a mentorship that helped shape one of the most productive mathematical careers in history.
Family & Personal Life
Awards & Honors
| Award | Year | Details |
|---|---|---|
| Fellow of the Royal Society | 1712 | — |