Mathematician:Johann Bernoulli

Mathematician
Swiss mathematician best known for his work on development of the calculus.

Taught, who then went ahead and published his lecture notes without crediting him.

Pioneered the technique of Integration by Parts.

Younger brother of, with whom he did not always see eye to eye. He and, having encountered 's early papers in his , became his most important students.

Started his career by studying medicine, but after receiving his M.A. in medicine, he realised his mistake and turned to mathematics.

Also studied physics, chemistry and astronomy.

Contributed extensively to the field of optics.

Wrote on the theory of tides and the mathematical theory of ship sails.

Enunciated the Principle of Virtual Displacements in the field of mechanics.

Posed the Brachistochrone Problem: to find the curve down which a particle will take the shortest possible time between two points. This was solved by.

Father of, and.

Nationality
Swiss

History

 * Born: 27 July 1667, Basel, Switzerland
 * 1695: Appointed Professor of Mathematics at Groningen in Holland
 * 1705: Succeeded as Professor of Mathematics at Basel
 * Died: 1 Jan 1748, Basel, Switzerland

Theorems

 * The actual discoverer of what is now known as L'Hôpital's Rule
 * The Sophomore's Dream

Publications

 * 1739: Hydraulica

Also known as
Johann Bernoulli is also known as Jean or John.

Some sources report him as Johann I in order to distinguish him from.

Notable Quotes

 * With justice we admire because he first discovered that a heavy particle falls down a cycloid in the same time no matter from what point on the cycloid it begins its motion. But you will be petrified with astonishment when I say that precisely this cycloid, the tautochrone of, is our required brachistochrone.

Also see

 * The Bernoulli Family