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Johann Bernoulli

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Johann Bernoulli was a highly influential Swiss mathematician. He was a key figure in the development of infinitesimal calculus. Calculus is a branch of mathematics used to study continuous change.

Acta Eruditorum - II strumenti, 1713 – BEIC 13382570
Acta Eruditorum - II strumenti, 1713 – BEIC 13382570

Bernoulli was part of the famous Bernoulli family of mathematicians. He helped turn calculus from a new theory into a practical tool. He applied these mathematical methods to solve complex, real-world problems. His work helped shape how science and math interact.

Johann's academic journey began in Basel, Switzerland. His father, Nicolaus Bernoulli, was an apothecary. Nicolaus wanted Johann to study business to manage the family spice trade. However, Johann preferred medicine and convinced his father to support that path. While studying medicine at the University of Basel, he studied mathematics alongside his brother, Jacob. The two brothers worked together to master the newly discovered principles of calculus.

Leibniz - Opere. Lettere e carteggi, 1745 - 1359735 F
Leibniz - Opere. Lettere e carteggi, 1745 - 1359735 F

They were among the first to apply these new methods to various mathematical problems.

Bernoulli's career included several important teaching roles. After graduating, he taught differential equations, which are equations involving rates of change. In 1694, he married Dorothea Falkner and became a professor of mathematics at the University of Groningen. He eventually returned to Basel to take a professorship. He moved into the position formerly held by his brother, Jacob. During his career, he also educated the famous mathematician Leonhard Euler. Johann also worked with Guillaume de l'Hôpital through a specific legal contract. This contract allowed l'Hôpital to use Bernoulli's mathematical discoveries. This resulted in the first calculus textbook, published in 1696. Much of the work in that book, including l'Hôpital's rule, came from Bernoulli's own research.

Johann was a central figure in many major scientific debates. In 1713, he joined the Leibniz–Newton debate. This was a dispute over who deserved credit for discovering calculus. Bernoulli defended Gottfried Leibniz against Isaac Newton. He argued that Leibniz's methods could solve problems that Newton's methods could not. He also supported René Descartes' vortex theory of planetary motion. This support actually delayed the acceptance of Newton's theory of gravitation in continental Europe.

Leibniz - Opere. Lettere e carteggi, 1745 - 1359735 F
Leibniz - Opere. Lettere e carteggi, 1745 - 1359735 F

He also participated in formal scientific competitions. In 1724, the French Académie Royale des Sciences held a contest. The question asked how a perfectly hard, moving body affects another body. Bernoulli's answer involved postulating an infinite external force to create elasticity. Because of this reasoning, he was disqualified from winning the top prize. The prize was instead won by Colin Maclaurin. However, Bernoulli was later recognized by the Académie in 1726. He received an honorable mention for his work on elastic bodies. This showed that his mathematical contributions were still highly respected.

Despite his brilliance, Johann's personal life was marked by intense rivalry. He had a very competitive and jealous relationship with his brother, Jacob. The two often tried to outdo one another in their work. Their most famous dispute involved the brachistochrone curve. This is the path a particle follows from one point to another in the shortest time under gravity. Johann proposed the cycloid as the solution in 1696. However, he incorrectly derived the solution and presented his brother's derivation as his own.

Acta Eruditorum - II strumenti, 1713 – BEIC 13382570
Acta Eruditorum - II strumenti, 1713 – BEIC 13382570

This conflict highlights the friction that often existed between the brothers.

Johann's competitive nature also extended to his own family. He had a difficult relationship with his talented son, Daniel Bernoulli. Both men published important works on hydrodynamics, which is the study of liquids in motion. Daniel published *Hydrodynamica* in 1738. Johann published *Hydraulica* in 1743. To try and claim priority, Johann falsely dated his work to be six years earlier than his son's. This pattern of seeking precedence was a recurring theme in his life. His legacy remains tied to both his mathematical breakthroughs and these complex personal disputes.

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