Felix Bernstein (mathematician): Difference between revisions

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* {{cite journal |title=Untersuchungen aus der Mengenlehre |author=Felix Bernstein |journal=[[Mathematische Annalen]] |volume=61 |year=1905 |pages=117–155| url=http://gdz.sub.uni-goettingen.de/index.php?id=11&PPN=PPN235181684_0061&DMDID=DMDLOG_0015&L=1 |publisher=Springer |location= Berlin |doi=10.1007/bf01457734}} (Dissertation, 1901); reprint Jan 2010, ISBN 1141370263
* {{cite journal |title=Untersuchungen aus der Mengenlehre |author=Felix Bernstein |journal=[[Mathematische Annalen]] |volume=61 |year=1905 |pages=117–155| url=http://gdz.sub.uni-goettingen.de/index.php?id=11&PPN=PPN235181684_0061&DMDID=DMDLOG_0015&L=1 |publisher=Springer |location= Berlin |doi=10.1007/bf01457734}} (Dissertation, 1901); reprint Jan 2010, ISBN 1141370263


* {{cite journal | author=Felix Bernstein | title=Über die isoperimetrische Eigenschaft des Kreises auf der Kugeloberfläche und in der Ebene | journal=Mathematische Annalen | volume=60 | number= | pages=117—136 | url=http://www.digizeitschriften.de/download/PPN235181684_0060/log9.pdf | year=1905 }}
* {{cite journal | author=Felix Bernstein | title=Über die isoperimetrische Eigenschaft des Kreises auf der Kugeloberfläche und in der Ebene | journal=Mathematische Annalen | volume=60 | number= | pages=117—136 | url=http://www.digizeitschriften.de/download/PPN235181684_0060/log9.pdf | year=1905 | doi=10.1007/bf01447496}}


* {{cite journal | author=Felix Bernstein | title=Über die Reihe der transfiniten Ordnungszahlen | journal=Mathematische Annalen | volume=60 | number= | pages=187—193 | url=http://www.digizeitschriften.de/download/PPN235181684_0060/log23.pdf | year=1905 }}
* {{cite journal | author=Felix Bernstein | title=Über die Reihe der transfiniten Ordnungszahlen | journal=Mathematische Annalen | volume=60 | number= | pages=187—193 | url=http://www.digizeitschriften.de/download/PPN235181684_0060/log23.pdf | year=1905 | doi=10.1007/bf01677265}}


* {{cite journal | author=Felix Bernstein | title=Die Theorie der reellen Zahlen | journal=[[Jahresbericht der Deutschen Mathematiker-Vereinigung]] | volume=14 | number= | pages=447—449 | url=http://www.digizeitschriften.de/download/PPN37721857X_0014/log113.pdf | year=1905 }}
* {{cite journal | author=Felix Bernstein | title=Die Theorie der reellen Zahlen | journal=[[Jahresbericht der Deutschen Mathematiker-Vereinigung]] | volume=14 | number= | pages=447—449 | url=http://www.digizeitschriften.de/download/PPN37721857X_0014/log113.pdf | year=1905 }}


* {{cite journal | author=Felix Bernstein | title=Zum Kontinuumproblem | journal=Mathematische Annalen | volume=60 | number= | pages=463—464 | url=http://www.digizeitschriften.de/download/PPN235181684_0060/log49.pdf | year=1905 }}
* {{cite journal | author=Felix Bernstein | title=Zum Kontinuumproblem | journal=Mathematische Annalen | volume=60 | number= | pages=463—464 | url=http://www.digizeitschriften.de/download/PPN235181684_0060/log49.pdf | year=1905 | doi=10.1007/bf01457626}}


* {{cite journal | author=Felix Bernstein | title=Über das Gaußsche Fehlergesetz | journal=Mathematische Annalen | volume=64 | number= | pages=417—448 | url=http://www.digizeitschriften.de/download/PPN235181684_0064/log43.pdf | year=1907 }}
* {{cite journal | author=Felix Bernstein | title=Über das Gaußsche Fehlergesetz | journal=Mathematische Annalen | volume=64 | number= | pages=417—448 | url=http://www.digizeitschriften.de/download/PPN235181684_0064/log43.pdf | year=1907 | doi=10.1007/bf01476025}}


* {{cite journal | author=Felix Bernstein | title=Zur Theorie der trigonometrischen Reihe | journal=[[Journal für die reine und angewandte Mathematik]] | volume=132 | number= | pages=270—278 | url=http://www.digizeitschriften.de/download/PPN243919689_0132/log21.pdf | year=1907 }}
* {{cite journal | author=Felix Bernstein | title=Zur Theorie der trigonometrischen Reihe | journal=[[Journal für die reine und angewandte Mathematik]] | volume=132 | number= | pages=270—278 | url=http://www.digizeitschriften.de/download/PPN243919689_0132/log21.pdf | year=1907 }}

Revision as of 08:26, 4 April 2015

Not to be confused with Felix Bernstein.
Felix Bernstein
Born(1878-02-24)24 February 1878
Halle
Died3 December 1956(1956-12-03) (aged 78)
Zurich
Alma materGöttingen University
Known forSchröder-Bernstein theorem
ChildrenMarianne Bernstein-Wiener[1]: 7r 
Scientific career
Theses
Doctoral advisorDavid Hilbert
Doctoral studentsPaul Beck, Martin Gauger, Ruth Heidemann, Hermann Hitzler, Siegfried Koller, Alfred Müller, Hans Münzner, Werner Rups, Walter Schwarzburg, Hans Thunsdorff

Felix Bernstein (24 February 1878, Halle, Germany – 3 December 1956, Zurich, Switzerland), was a German Jewish mathematician known for proving the Schröder–Bernstein theorem central in set theory in 1896,[1]: 5–6 [2][3][note 1] and less well known for demonstrating the correct blood group inheritance pattern of multiple alleles at one locus in 1924 through statistical analysis.

Life

While still in gymnasium in Halle, Bernstein heard the university seminar of Georg Cantor, who was a friend of Bernstein's father Julius.[1]: 5r  From 1896 to 1900, Bernstein studied in Munich, Halle, Berlin and Göttingen.[4]: 166  In the early Weimar Republic, Bernstein temporarily was Göttingen vice-chairman of the German Democratic Party.[5]: 7 [6]: 118 [7] In 1933,[note 2] after Hitler's rise to power, Bernstein was deprived from his chair, per §6 of the Nazi Law for the Restoration of the Professional Civil Service, often used against politically unpopular persons. He received the message of his dismissal during a research/lecturing journey (started on Dec. 1st, 1932) to the USA, and he stayed there.[4]: 166 [5]: 7–8 [7] In 1948, Bernstein retired from teaching in the USA, and returned to Europe.[2] He mainly lived in Rome and Freiburg, occasionally visiting Göttingen,[4]: 166  where he became professor emeritus.[2] He died of cancer[citation needed] in Zurich on 3 December 1956.[1]: 6r [2]

Publications

  • Felix Bernstein (1903). Über den Klassenkörper eines algebraischen Zahlkörpers (Habilitation thesis). Univ. Göttingen.

Notes

  1. ^ In 1897 (aged 19), according to Oliver Deiser (2010). "Zeittafel zur frühen Mengenlehre" (PDF). Einführung in die Mengenlehre — Die Mengenlehre Georg Cantors und ihre Axiomatisierung durch Ernst Zermelo (3rd ed.). Heidelberg: Springer. ISBN 3-540-20401-6.
  2. ^ In 1934, according to O'Connor, Robertson (MacTutor).

References

  1. ^ a b c d Attention: This template ({{cite pmid}}) is deprecated. To cite the publication identified by PMID 8417988, please use {{cite journal}} with |pmid=8417988 instead.
  2. ^ a b c d O'Connor, John J.; Robertson, Edmund F., "Felix Bernstein (mathematician)", MacTutor History of Mathematics Archive, University of St Andrews
  3. ^ Nathan, Henry (1970–1980). "Bernstein, Felix". Dictionary of Scientific Biography. Vol. 2. New York: Charles Scribner's Sons. pp. 58–59. ISBN 978-0-684-10114-9.
  4. ^ a b c Max Pinl (1970). "Kollegen in einer dunklen Zeit (2)" (PDF). Jahresbericht der Deutschen Mathematiker-Vereinigung. 72: 165–189.
  5. ^ a b Norbert Schappacher (1987). "Das Mathematische Institut der Universität Göttingen 1929—1950" (PDF). In Becker, Dahms, Wegeler (ed.). Die Universität Göttingen unter dem Nationalsozialismus. München: K.G.Saur. pp. 345–373.{{cite book}}: CS1 maint: multiple names: editors list (link) — Schappacher gives a lot of details from the Göttingen University archive.
  6. ^ Barbara Marshall (1972). The Political Development of German University Towns in the Weimar Republic: Göttingen and Münster 1918—1930 (Ph.D. thesis). Univ. of London. {{cite thesis}}: Cite has empty unknown parameter: |month= (help)
  7. ^ a b Steffi Laemmle, Willy Tiabou, Christoph Bichlmeier (May 2003). "Verfolgte Mathematiker (Persecuted Mathematicians)". Seminar für überfachliche Grundlagen: Mathematiker in der NS-Zeit (Term Paper). TU Munich. {{cite report}}: External link in |contributionurl= (help); Unknown parameter |contributionurl= ignored (|contribution-url= suggested) (help)CS1 maint: multiple names: authors list (link)

External links

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