Jakob Bernoulli.

Jakob Bernoulli (Basel, Switzerland, December 27, 1654 - August 16, 1705), also known as Jacob, Jacques or James Bernoulli was a Swiss mathematician and scientist and the older brother of Johann Bernoulli. This image has been released into the public domain by the copyright holder, its copyright has expired, or it is ineligible for copyright. ... This image has been released into the public domain by the copyright holder, its copyright has expired, or it is ineligible for copyright. ... Basel (English traditionally: Basle [ba:l], German: Basel [ba:z@l], French Bâle [ba:l], Italian Basilea [bazilE:a]) is Switzerlands third most populous city (188,000 inhabitants in the canton of Basel-City as of 2004; the 690,000 inhabitants in the conurbation stretching across the immediate... December 27 is the 361st day of the year in the Gregorian Calendar (362nd in leap years). ... Events April 5 - Signing of the Treaty of Westminster, ending the First Anglo-Dutch War. ... August 16 is the 228th day of the year (229th in leap years) in the Gregorian Calendar. ... // Events Construction begins on Blenheim Palace, in Oxfordshire, England. ... To meet Wikipedias quality standards, this article or section may require cleanup. ... The physicist Albert Einstein is probably the most famous scientist of our time. ... Johann Bernoulli Johann Bernoulli (Basel, July 27, 1667 - January 1, 1748) was a Swiss mathematician. ...

While travelling in England in 1676, Jakob Bernoulli met Robert Boyle and Robert Hooke. This contact inspired Jakob to devote his life to science and mathematics. He was appointed Lecturer at the University of Basel in 1682 and, in 1687, was promoted to Professor of Mathematics. Events January 29 - Feodor III becomes Tsar of Russia First measurement of the speed of light, by Ole Rømer Bacons Rebellion Russo-Turkish Wars commence. ... Robert Boyle The Honourable Robert Boyle (January 25, 1627 - December 30, 1691) was an Irish natural philosopher, noted for his work in physics and chemistry. ... A portrait, claimed by historian Lisa Jardine to be of Robert Hooke. ... The University of Basel (German: Universität Basel) is located at Basel, Switzerland. ... Events March 11 – Chelsea hospital for soldiers is founded in England May 6 - Louis XIV of France moves his court to Versailles. ... Events March 19 - The men under explorer Robert Cavelier de La Salle murder him while searching for the mouth of the Mississippi River. ...

In 1690, he became the first person to develop the technique for solving separable differential equations. // A separable first order ordinary differential equation A separable ordinary differential equation of the first order has the general form: where f(t) is some known function. ...

He became familiar with calculus through a correspondence with Gottfried Leibniz, then collaborated with brother Johann on various applications, notably publishing papers on transcendental curves (1696) and isoperimetry (1700, 1701). Calculus is a central branch of mathematics, developed from algebra and geometry. ... This article or section does not cite its references or sources. ... In mathematics, a transcendental curve is a curve that is not an algebraic curve. ... The year 1696 had the earliest equinoxes and solstices for 400 years in the Gregorian calendar, because this year is a leap year and the Gregorian calendar would have behaved like the Julian calendar since March 1500 had it have been in use that long. ... Isoperimetry literally means having an equal perimeter. In mathematics, isoperimetry is the general study of geometric figures having equal boundaries. ... Events January 1 - Russia accepts Julian calendar. ... Events January 18 - Frederick I becomes King of Prussia. ...

His masterwork was Ars Conjectandi (the Art of Conjecture), a groundbreaking work on probability theory. It was published eight years after his death in 1713 by his nephew Nicholas. The terms Bernoulli trial and Bernoulli Numbers result from this work. Bernoulli crater, on the Moon, is also named after him jointly with his brother Johann. Probability theory is the mathematical study of probability. ... // Events April 11 - War of the Spanish Succession: Treaty of Utrecht June 23 - French residents of Acadia given one year to declare allegiance to Britain or leave Nova Scotia Canada first Orrery built by George Graham Ongoing events Great Northern War (1700-1721) War of the Spanish Succession (1702-1713... In the theory of probability and statistics, a Bernoulli trial is an experiment whose outcome is random and can be either of two possible outcomes, called success and failure. ... In mathematics, the Bernoulli numbers Bn were first discovered in connection with the closed forms of the sums for various fixed values of n. ... Bernoulli is a lunar impact crater that is located in the northeast part of the Moon. ... Bulk composition of the moons mantle and crust estimated, weight percent Oxygen 42. ...

Quotes

• [The law of large numbers is a rule that] even the stupidest man knows by some instinct of nature per se and by no previous instruction.
  • in a letter to Gottfried Leibniz

This article or section does not cite its references or sources. ...

External links

• Jakob Bernoulli at the Mathematics Genealogy Project
• O'Connor, John J., and Edmund F. Robertson. "Jakob Bernoulli". MacTutor History of Mathematics archive.
• Jakob Bernoulli: Tractatus de Seriebus Infinitis (pdf)
• Eric W. Weisstein, Bernoulli, Jakob (1654-1705) at ScienceWorld.