The Bernoulli family () of
Basel was a
patrician family, notable for having produced eight mathematically gifted academics who, among them, contributed substantially to the development of mathematics and physics during the
early modern period.
History
Originally from
Antwerp
Antwerp (; nl, Antwerpen ; french: Anvers ; es, Amberes) is the largest city in Belgium by area at and the capital of Antwerp Province in the Flemish Region. With a population of 520,504, , a branch of the family relocated to Basel in 1620.
While their origin in Antwerp is certain, proposed earlier connections with the Dutch family ''Bornouilla'' (''Bernoullie''), or with the Castilian family ''de Bernuy'' (''Bernoille'', ''Bernouille''), are uncertain.
[
The first known member of the family was Leon Bernoulli (d. 1561), a doctor in ]Antwerp
Antwerp (; nl, Antwerpen ; french: Anvers ; es, Amberes) is the largest city in Belgium by area at and the capital of Antwerp Province in the Flemish Region. With a population of 520,504, , at that time part of the Spanish Netherlands. His son, Jacob, emigrated to Frankfurt am Main in 1570 to escape from the Spanish persecution of the Protestants. Jacob's grandson, a spice trader, also named Jacob, moved to Basel, Switzerland
). Swiss law does not designate a ''capital'' as such, but the federal parliament and government are installed in Bern, while other federal institutions, such as the federal courts, are in other cities (Bellinzona, Lausanne, Luzern, Neuchâtel ...
in 1620, and was granted citizenship in 1622.[ His son, (Nicolaus, 1623–1708), Leon's great-great-grandson, married Margarethe Schönauer.
]
Notable academic members
Niklaus had four sons, of whom Johann and Hieronymus became the progenitors of the "greater" and the "lesser" branches of the family, respectively. The "greater" branch later became related by marriage to the prominent French academic dynasty, the Curie family, through Johann Bernoulli (1667–1748). The four sons of Niklaus were:
* Jacob Bernoulli (1654–1705; also known as James or Jacques), mathematician after whom Bernoulli numbers are named, and author of the early probability text '' Ars Conjectandi''
* Nicolaus Bernoulli (1662–1716), painter and alderman of Basel
* Johann Bernoulli (1667–1748; also known as Jean), mathematician and early adopter of infinitesimal calculus
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithm ...
* Hieronymus Bernoulli (1669–1760), m. Catharina Ebneter
In addition to Jacob and Johann, the Bernoulli family of mathematicians is generally taken to include:
* Nicolaus I Bernoulli (1687–1759), son of Nicolaus, mathematician, worked on curves, differential equations
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...
, and probability; originator of the St. Petersburg paradox
* Nicolaus II Bernoulli (1695–1726), son of Johann
* Daniel Bernoulli
Daniel Bernoulli FRS (; – 27 March 1782) was a Swiss mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applications of mathematics to mechan ...
(1700–1782), son of Johann, developer of Bernoulli's principle and originator of the concept of expected utility for resolving the St. Petersburg paradox
* Johann II Bernoulli
Johann II Bernoulli (18 May 1710, in Basel – 17 July 1790, in Basel; also known as Jean) was the youngest of the three sons of the Swiss mathematician Johann Bernoulli. He studied law and mathematics, and, after travelling in France, was for f ...
(1710–1790; also known as Jean), son of Johann, mathematician and physicist
* Johann III Bernoulli (1744–1807; also known as Jean), son of Johann II, astronomer, geographer and mathematician
* Jacob II Bernoulli (1759–1789; also known as Jacques), son of Johann II, physicist and mathematician
Several more recent prominent scholars are also descended from the family, including:
* (1831–1913), art historian and archaeologist; noted for his ''Römische Ikonographie'' (1882 onwards) on Roman Imperial portraits
* Ludwig Bernoully (1873–1928), German architect in Frankfurt
* Hans Bernoulli (1876–1959), architect and designer of the Bernoullihäuser in Zurich and Grenchen SO
* Elisabeth Bernoulli
Elisabeth Bernoulli (9 December 1873 – 22 February 1935) was a Swiss campaigner against alcoholism.
Biography
Bernoulli was born in Basel, Switzerland, the daughter of Theodor Bernoulli. The architect Hans Benno Bernoulli was her younger brother ...
(1873–1935), suffragette and campaigner against alcoholism
The surname survives in Switzerland, with ten entries in the white pages for the city of Basel as of 2018.tel.search.ch
/ref>
Family Tree of the Basler Bernoullis
Named for members of the family
* Bernoulli differential equation
* Bernoulli distribution
* Bernoulli number
* Bernoulli polynomials
In mathematics, the Bernoulli polynomials, named after Jacob Bernoulli, combine the Bernoulli numbers and binomial coefficients. They are used for series expansion of functions, and with the Euler–MacLaurin formula.
These polynomials occur in ...
* Bernoulli process
In probability and statistics, a Bernoulli process (named after Jacob Bernoulli) is a finite or infinite sequence of binary random variables, so it is a discrete-time stochastic process that takes only two values, canonically 0 and 1. Th ...
* Bernoulli trial
* Bernoulli's principle
* Bernoulli's triangle
References
External links
Family tree
at the MacTutor History of Mathematics archive
The MacTutor History of Mathematics archive is a website maintained by John J. O'Connor and Edmund F. Robertson and hosted by the University of St Andrews in Scotland. It contains detailed biographies on many historical and contemporary mathemati ...
.
David Darling ''Encyclopedia of Science'' Bernoulli family
{{DEFAULTSORT:Bernoulli Family
History of Basel
History of mathematics
Patriciate of Basel
Scientific families
Families of Belgian ancestry