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Bartel Leendert van der Waerden (; 2 February 1903 – 12 January 1996) was a Dutch mathematician and historian of mathematics.


Biography


Education and early career

Van der Waerden learned advanced mathematics at the University of Amsterdam and the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded i ...
, from 1919 until 1926. He was much influenced by Emmy Noether at Göttingen, Germany. Amsterdam awarded him a Ph.D. for a thesis on
algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrica ...
, supervised by Hendrick de Vries. Göttingen awarded him the habilitation in 1928. In that year, at the age of 25, he accepted a professorship at the University of Groningen. In his 27th year, Van der Waerden published his ''
Moderne Algebra ''Moderne Algebra'' is a two-volume German textbook on graduate abstract algebra by , originally based on lectures given by Emil Artin in 1926 and by from 1924 to 1928. The English translation of 1949–1950 had the title ''Modern algebra'', th ...
'', an influential two-volume treatise on
abstract algebra In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term ' ...
, still cited, and perhaps the first treatise to treat the subject as a comprehensive whole. This work systematized an ample body of research by Emmy Noether, David Hilbert, Richard Dedekind, and Emil Artin. In the following year, 1931, he was appointed professor at the University of Leipzig. In July 1929 he married the sister of mathematician
Franz Rellich Franz Rellich (September 14, 1906 – September 25, 1955) was an Austrian- German mathematician. He made important contributions in mathematical physics, in particular for the foundations of quantum mechanics and for the theory of partial differe ...
, Camilla Juliana Anna, and they had three children.


Nazi Germany

After the
Nazis Nazism ( ; german: Nazismus), the common name in English for National Socialism (german: Nationalsozialismus, ), is the far-right totalitarian political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in Naz ...
seized power, and through World War II, Van der Waerden remained at Leipzig, and passed up opportunities to leave Nazi Germany for
Princeton Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the nin ...
and Utrecht. However, he was critical of the Nazis and refused to give up his Dutch nationality, both of which led to difficulties for him.


Postwar career

Following the war, Van der Waerden was repatriated to the Netherlands rather than returning to Leipzig (then under Soviet control), but struggled to find a position in the Dutch academic system, in part because his time in Germany made his politics suspect and in part due to Brouwer's opposition to Hilbert's school of mathematics. After a year visiting Johns Hopkins University and two years as a part-time professor, in 1950, Van der Waerden filled the chair in mathematics at the University of Amsterdam. In 1951, he moved to the University of Zurich, where he spent the rest of his career, supervising more than 40 Ph.D. students. In 1949, Van der Waerden became member of the Royal Netherlands Academy of Arts and Sciences, in 1951 this was changed to a foreign membership. In 1973 he received the ''
Pour le Mérite The ' (; , ) is an order of merit (german: Verdienstorden) established in 1740 by King Frederick II of Prussia. The was awarded as both a military and civil honour and ranked, along with the Order of the Black Eagle, the Order of the Red Eagl ...
''.


Contributions

Van der Waerden is mainly remembered for his work on
abstract algebra In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term ' ...
. He also wrote on
algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrica ...
, topology, number theory, geometry, combinatorics,
analysis Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (3 ...
, probability and statistics, and quantum mechanics (he and Heisenberg had been colleagues at Leipzig). In later years, he turned to the history of mathematics and science. His historical writings include ''Ontwakende wetenschap'' (1950), which was translated into English as ''Science Awakening'' (1954), ''Sources of Quantum Mechanics'' (1967), ''Geometry and Algebra in Ancient Civilizations'' (1983), and ''A History of Algebra'' (1985). Van der Waerden has over 1000 academic descendants, most of them through three of his students, David van Dantzig (Ph.D. Groningen 1931), Herbert Seifert (Ph.D. Leipzig 1932), and Hans Richter (Ph.D. Leipzig 1936, co-advised by Paul Koebe).


See also

* Van der Waerden notation * Van der Waerden number * Van der Waerden's conjecture *
Van der Waerden's theorem Van der Waerden's theorem is a theorem in the branch of mathematics called Ramsey theory. Van der Waerden's theorem states that for any given positive integers ''r'' and ''k'', there is some number ''N'' such that if the integers are colored, ...
*
Van der Waerden test Named after the Dutch mathematician Bartel Leendert van der Waerden, the Van der Waerden test is a statistical test that ''k'' population distribution functions are equal. The Van der Waerden test converts the ranks from a standard Kruskal-Wallis ...


Notes


References

*
Alexander Soifer Alexander Soifer is a Russian-born American mathematician and mathematics author. His works include over 400 articles and 13 books. Soifer obtained his Ph.D. in 1973 and has been a professor of mathematics at the University of Colorado since 19 ...
(2009), '' The Mathematical Coloring Book'', Springer-Verlag . Soifer devotes four chapters and over 100 pages to biographical material about van der Waerden, some of which he had also published earlier in the journal '' Geombinatorics''. * Alexander Soifer (2015) ''The Scholar and the State: In Search of Van der Waerden'',
Springer books Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in ...


Further reading

*Schlote, K.-H., 2005, "Moderne Algebra" in Grattan-Guinness, I., ed., ''Landmark Writings in Western Mathematics''. Elsevier: 901–16. * * * Freudenthal, H., 1962
"Review: B. L. van der Waerden, ''Science Awakening''"
in ''Bull. Amer. Math. Soc.'', 68 (6):543–45.


External links

* {{DEFAULTSORT:Waerden, Bartel Leendert Van Der 20th-century Dutch mathematicians 20th-century Dutch historians 1903 births 1996 deaths Algebraists Combinatorialists Historians of mathematics Leipzig University faculty Members of the Royal Netherlands Academy of Arts and Sciences Recipients of the Pour le Mérite (civil class) Scientists from Amsterdam University of Amsterdam alumni University of Amsterdam faculty University of Göttingen alumni University of Zurich faculty