Walter Purkert
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Walter Purkert (born 22 January 1944 in
Trautenau Trutnov (; ) is a town in the Hradec Králové Region of the Czech Republic. It has about 30,000 inhabitants. The historic town centre is well preserved and is protected as an Cultural monument (Czech Republic)#Monument zones, urban monument zone ...
) is a German mathematician and historian of mathematics. Lothar Mertens: ''Lexikon der DDR-Historiker. Biographien und Bibliographien zu den Geschichtswissenschaftlern aus der Deutschen Demokratischen Republik.'' Saur, München 2006, ISBN 3-598-11673-X.


Career

Purkert received his doctorate ( ''Promotion'') in 1972 from
Leipzig University Leipzig University (), in Leipzig in Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 December 1409 by Frederick I, Electo ...
. His thesis ''Die Entwicklung des abstrakten Körperbegriffs'' (The development of the abstract concept of the
algebraic structure In mathematics, an algebraic structure or algebraic system consists of a nonempty set ''A'' (called the underlying set, carrier set or domain), a collection of operations on ''A'' (typically binary operations such as addition and multiplicatio ...
called a field) was supervised by Hans Wußing. From 1972 to 1979 Purkert was employed in the mathematics section of Leipzig University's mathematics/natural sciences department. In the mathematics section of Leipzig University's department of the history of medicine and the natural sciences, he was from 1979 to 1987 a lecturer (''Dozent''), from 1987 to 1991 a professor extraordinarius, and from 1988 to 1990 the director of the mathematics section. Purkert was a visiting professor in the summer of 1988 at
Pace University Pace University is a private university with campuses in New York City and Westchester County, New York, United States. It was established in 1906 as a business school by the brothers Homer St. Clair Pace and Charles A. Pace. Pace enrolls about ...
and for the academic year 1992–1993 at the University of Wuppertal. He has been a research assistant and professor at the
University of Bonn The University of Bonn, officially the Rhenish Friedrich Wilhelm University of Bonn (), is a public research university in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the () on 18 October 1818 by Frederick Willi ...
since the mid-1990s. There he was coordinating editor of the ''Hausdorff Edition''. This annotated edition of the collected works of
Felix Hausdorff Felix Hausdorff ( , ; November 8, 1868 – January 26, 1942) was a German mathematician, pseudonym Paul Mongré (''à mogré' (Fr.) = "according to my taste"), who is considered to be one of the founders of modern topology and who contributed sig ...
includes the philosophical and literary writings published under Hausdorff's pseudonym Paul Mongré. The leading editorial committee had five members including, besides Purkert, Egbert Brieskorn (the project initiator), Friedrich Hirzebruch,
Reinhold Remmert Reinhold Remmert (22 June 1930 – 9 March 2016) was a German mathematician. Born in Osnabrück, Lower Saxony, he studied mathematics, mathematical logic and physics in Münster. He established and developed the theory of complex-analytic space ...
, and Erhard Scholz. There is a first edition done by editors from Germany and four other countries. There is also a supplemented edition. More than twenty mathematicians, historians, philosophers and literary scholars worked together. The edition was carried out as a long-term project by the ''Nordrhein-Westfälische Akademie der Wissenschaften und der Künste'' (North Rhine-Westphalia Academy for Sciences and Arts). The edition comprises 10 separate volumes (IA, IB, and II through IX). The volumes were published between 2001 and 2020 by
Springer Verlag 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 ...
. Purkert completed (during 2013–2018) the biography of Hausdorff (Volume IB of the edition) begun by Egbert Brieskorn (1936–2013) and also edited Hausdorff's correspondence (Volume IX of the edition). Purkert was the co-author, with Hans-Joachim Ilgauds, of a well-regarded biography of
Georg Cantor Georg Ferdinand Ludwig Philipp Cantor ( ; ;  – 6 January 1918) was a mathematician who played a pivotal role in the creation of set theory, which has become a foundations of mathematics, fundamental theory in mathematics. Cantor establi ...
. Purkert also edited
Felix Klein Felix Christian Klein (; ; 25 April 1849 – 22 June 1925) was a German mathematician and Mathematics education, mathematics educator, known for his work in group theory, complex analysis, non-Euclidean geometry, and the associations betwe ...
's 1891–1892 lectures in Göttingen on Riemann surfaces. In addition to his historical and editorial research, Purkert published mathematical research on
stochastic analysis Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals of stochastic processes with respect to stochastic processes. This field was created an ...
.


Honors

In 2005 Purkert gave the historical lecture ''Felix Hausdorff - Mathematiker, Philosoph und Literat'', which was part of the events accompanying the
Euler Lecture The Euler Lecture (''Euler-Vorlesung in Sanssouci'') is a mathematics lecture given at an annual event at the University of Potsdam (''Universität Potsdam''). The event, initiated in 1993, is organized by the ''Universität Potsdam, Institut for Ma ...
. He was elected in 2007 a corresponding member of the ''Académie Internationale d’Histoire des Sciences'', Paris and in 2015 a member of the , Basel.


Selected publications

* ''Die Hilbertschen Probleme. Erl. von e. Autorenkollektiv unter d. Red. von P.S. Alexandrov. Vortrag "Mathematische Probleme" von D. Hilbert, gehalten auf d. 2. Internat. Mathematikerkongress Paris 1900'' (translated into German from the Russian original and edited by Hannelore Bernhardt and Walter Burkert), Akademische Verlagsgesellschaft Geest und Portig, Leipzig 1971, 2nd edition 1979, 3rd edition 1983. (See
Hilbert's problems Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several proved to be very influential for 20th-century mathematics. Hilbert presented ten of the pr ...
.) * with Jürgen vom Scheidt: ''Schwach korrelierte Prozesse und ihre Anwendungen'' (Weakly correlated processes and their applications). Akademie-Verlag, Berlin 1980. * with Jürgen vom Scheidt: ''Random Eigenvalue Problems.'' North Holland 1983. * with Hans-Joachim Ilgauds: ''Georg Cantor.'' Teubner, 1985, ; Birkhäuser, 1987 (Vita Mathematica) ** * * ''Brückenkurs Mathematik für Wirtschaftswissenschaftler'' (Preparatory mathematical course for economists). Teubner, 1995, 9th edition 2022 (Springer/Gabler, Wiesbaden, ). * with Erhard Scholz: * with Egbert Brieskorn: ''Felix Hausdorff-Biographie.'' volume IB (in German) of Hausdorff-Edition, Springer 2018. * ''Felix Hausdorff: Mathematiker, Philosoph und Literat'' (Mathematik im Kontext), Springer 2021. ** ''Felix Hausdorff: Mathematician, Philosopher, Man of Letters''. Springer 2024.


References

{{DEFAULTSORT:Purkert, Walter 1944 births Living people German historians of mathematics 20th-century German mathematicians 21st-century German mathematicians 20th-century German historians 21st-century German historians Leipzig University alumni Academic staff of Leipzig University Academic staff of the University of Bonn