Johann Bernoulli (6 August 1667 – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family.
(1667-1748) Swiss mathematician. He contributed significantly to the development of differential and integral calculus. He was born on 6 August 1667 in Basel. He is the tenth child of Nikolaus Bernoulli and brother of Jacques Bernoulli. His father wanted to raise Jean as a businessman, but when he realized that he was not inclined to business, he allowed him to enter the university on the condition that he study medicine. While studying medicine, Jean began learning mathematics under the supervision of his thirteen-year-old brother, Jacques, who was then a professor of mathematics in Basel. Although he received his doctorate in medicine in 1694 with his thesis on muscle movements, which attracted great attention, he has since devoted his studies entirely to mathematics. In 1695, at the suggestion of Huygens, he was appointed professor of mathematics at the University of Gröningen in the Netherlands. When his older brother Jacques died in 1705, he returned to Switzerland to take over the mathematics chair he had vacated at the University of Basel. Jean Bernoulli, who was elected a member of the Paris, Berlin, and Petersburg Academies of Science, died in Basel on January 1, 1748.
Johann Bernoulli (6 August 1667 – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infinitesimal calculus and educating Leonhard Euler in the pupil's youth.
Under the supervision of his brother, Jean Bernoulli's first important work, grasping and assimilating Leibniz's work, was his brilliant solution to the "cateraria" or "chain curve" problem posed by Jacques. The solution to this problem introduced Jean Bernoulli to the world of mathematics and made him one of the great mathematicians of his time. These solutions, which found the opportunity to apply after a short time, were later used in many areas from suspension bridge construction to electrical transmission lines.
Traveling to Paris in 1691, Jean earned himself a good place in the Malebranche group by showing that the radius of curvature of a curve can be given by the equation p= dx/ds: d2y ds'. During his stay in Paris, he studied with the French mathematician L'Hospital, teaching him about infinitesimal calculus.
Jean Bernoulli's work in Basel after 1705 is more concerned with theoretical and applied mechanics. The Theorie de la manoeuvre des vaisseaux ("The Theory of Navigation Techniques"), published in 1714, is Jean Bernoulli's only book. In this book, he criticizes the theories of navigation techniques put forward by a French naval officer and explains the difference between kinetic energy and force.
Jean Bernoulli was one of the foremost mathematicians of his time. The fact that he made approximately 2,500 correspondences with more than a hundred scientists throughout his life is an indication of his effectiveness and importance. Bernoulli, whose reviews and correspondences were compiled and published collectively by Cramer in 1742, produced valuable products in various fields such as geodesy, trigonometry, and medicine, from the technique of navigating to the sea to his astronomy studies that won him three awards from the French Academy.