Bartel Leendert van der Waerden
|Bartel Leendert van der Waerden|
February 2, 1903|
|Died||January 12, 1996
|Institutions||University of Leipzig
University of Zurich
|Alma mater||University of Amsterdam
University of Göttingen
|Doctoral advisor||Hendrick de Vries|
|Doctoral students||David van Dantzig|
|Known for||Van der Waerden notation
Van der Waerden number
Van der Waerden's theorem
Van der Waerden test
Education and early career
Van der Waerden learned advanced mathematics at the University of Amsterdam and the University of Göttingen, from 1919 until 1926. He was much influenced by Emmy Noether at Göttingen. Amsterdam awarded him a Ph.D. for a thesis on algebraic geometry, supervised by Hendrick de Vries. Göttingen awarded him the habilitation in 1928.
In his 27th year, van der Waerden published his Moderne Algebra, an influential two-volume treatise on abstract algebra, 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.
During the rise of the Third Reich and through World War II, van der Waerden remained at Leipzig, and passed up opportunities to leave Nazi Germany for Princeton 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.
Following the war, van der Waerden was repatriated to the Netherlands rather than returning to Leipzig (then under Russian 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.
Van der Waerden is mainly remembered for his work on abstract algebra. He also wrote on algebraic geometry, topology, number theory, geometry, combinatorics, analysis, probability and statistics, and quantum mechanics (he and Heisenberg had been colleagues at Leipzig). In his 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), Geometry and Algebra in Ancient Civilizations (1983), and A History of Algebra (1985).
- Van der Waerden's theorem
- Van der Waerden number
- Van der Waerden test
- Van der Waerden notation
- Van der Waerden's conjecture
- Alexander Soifer (2009), The Mathematical Coloring Book, Springer-Verlag ISBN 978-0-387-74640-1. 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.
- Schlote, K.-H., 2005, "Moderne Algebra" in Grattan-Guinness, I., ed., Landmark Writings in Western Mathematics. Elsevier: 901–16.
- O'Connor, John J.; Robertson, Edmund F., "Bartel Leendert van der Waerden", MacTutor History of Mathematics archive, University of St Andrews.
- An interview with van der Waerden, published after his death.
- A Review of: B. L. van der Waerden, Science Awakening, by Hans Freudenthal in Bull. Amer. Math. Soc., Vol. 68, Number 6 (1962), 543–545.