When studying in university of basel, John secretly studied mathematics with his brother Jacob and began to study mathematics. They are both interested in infinitesimal mathematics. They were first familiar with the brief exposition of calculus by G.W. Leibniz. It was under the influence and encouragement of Leibniz's thought that John embarked on the road of studying and developing calculus.
169 1 In June, John published a paper in Acta eruditorum, which solved the catenary problem proposed by Jacob. The publication of this paper made him join the mathematicians such as C. Huygens, Leibniz and I. Newton.
In the autumn of 169 1, John arrived in Paris. During his stay in Paris, he met G.F.A. de Robida (L'Hospital) and began to teach him calculus from 169 1- 1692. They became close friends and established several relationships.
During1691-1692, John wrote the first calculus textbook in the world. The integer part was published in 1742, and the differential part was not published until 1924.
1693, John started to establish correspondence with Leibniz, and exchanged views on some mathematical problems in his letter. John is a loyal supporter of Leibniz, even involved in the debate between Leibniz and Newton about the priority of calculus. He tried his best to defend Leibniz and criticized and even laughed at the British. Valinon, an academician of the French Academy of Sciences, is also a close friend of John, and they also have correspondence.
1695, John was appointed as a professor of mathematics in university of groningen, the Netherlands. After accepting his post, he worked very hard and taught seriously, and made many new contributions to calculus. 1705, John's brother Jacob died. He went to university of basel to take over as a professor of mathematics and devoted himself to mathematics teaching until 1748.
Because of John's long-term teaching activities and contributions to mathematics, he was highly praised by the scientific community at that time. 1699 was elected as a foreign academician of the Paris Academy of Sciences. 170 1 was accepted as a member of Berlin Science Association (later Berlin Academy of Sciences); 17 12 was elected as a member of the royal society; 1724 was elected as a foreign academician of bologna academy of sciences in Italy; 1725 was elected as a foreign academician of Petersburg Academy of Sciences. He also held an honorary post in Basel, was a member of the local education committee, and became a famous figure in Basel at that time.
Because of his research achievements in mechanics, celestial mechanics and fluid mechanics, John won the prize of Paris Academy of Sciences for three times in 1724, 1730 and 1735 respectively. In particular, the award-winning article on planetary orbit theory written by him and his son daniel bernoulli in 1735 has been highly valued by people.
John lived from the second half of17th century to the first half of18th century. The most outstanding achievement of mathematics in this period is the invention and development of calculus. With the establishment of calculus, some important branches of mathematics, such as differential equations, infinite series, differential geometry, variational methods and so on. /kloc-the main task of mathematicians in the 0/8th century is to devote themselves to the development of these branches and complete these tasks. First of all, we should develop and improve calculus itself. John is a man who has made important contributions to many related branches of calculus and mathematics, and is one of the important founders of analytical science in the18th century.