Introduction
Felix Bernstein (24 February 1878 in Halle, Germany – 3 December 1956 in Zurich, Switzerland), was a German Jewish mathematician known for proving the Schröder–Bernstein theorem central in set theory in 1896, 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.:5r From 1896 to 1900, Bernstein studied in Munich, Halle, Berlin and Göttingen.:166 In the early Weimar Republic, Bernstein temporarily was Göttingen vice-chairman of the German Democratic Party.:7:118 In 1933, 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 United States, and he stayed there.:166:7–8 In 1948, Bernstein retired from teaching in the USA, and returned to Europe. He mainly lived in Rome and Freiburg, occasionally visiting Göttingen,:166 where he became professor emeritus.
He died of cancer in Zurich on 3 December 1956.:6r
Publications
- Felix Bernstein (1903). Über den Klassenkörper eines algebraischen Zahlkörpers (Habilitation thesis). Univ. Göttingen.
- Felix Bernstein (1905). "Untersuchungen aus der Mengenlehre". Mathematische Annalen. Berlin: Springer. 61: 117–155. doi:10.1007/bf01457734. (Dissertation, 1901); reprint Jan 2010, ISBN 1141370263
- Felix Bernstein (1905). "Über die isoperimetrische Eigenschaft des Kreises auf der Kugeloberfläche und in der Ebene" (PDF). Mathematische Annalen. 60: 117—136. doi:10.1007/bf01447496.
- Felix Bernstein (1905). "Über die Reihe der transfiniten Ordnungszahlen" (PDF). Mathematische Annalen. 60: 187—193. doi:10.1007/bf01677265.
- Felix Bernstein (1905). "Die Theorie der reellen Zahlen" (PDF). Jahresbericht der Deutschen Mathematiker-Vereinigung. 14: 447—449.
- Felix Bernstein (1905). "Zum Kontinuumproblem" (PDF). Mathematische Annalen. 60: 463—464. doi:10.1007/bf01457626.
- Felix Bernstein (1907). "Über das Gaußsche Fehlergesetz" (PDF). Mathematische Annalen. 64: 417—448. doi:10.1007/bf01476025.
- Felix Bernstein (1907). "Zur Theorie der trigonometrischen Reihe" (PDF). Journal für die reine und angewandte Mathematik. 132: 270—278.
- Felix Bernstein (1919). "Die Mengenlehre Georg Cantors und der Finitismus" (PDF). Jahresbericht der Deutschen Mathematiker-Vereinigung. 28: 63—78.
- Felix Bernstein (1919). "Die Übereinstimmung derjenigen beiden Summationsverfahren einer divergenten Reihe, welche von T.E. Stieltjes und E. Borel herrühren" (PDF). Jahresbericht der Deutschen Mathematiker-Vereinigung. 28: 50—63. — Corrections in Vol.29 (1920), p. 94
- Felix Bernstein (1923). "Zur Statistik der sekundären Geschlechtsmerkmale beim Menschen" (PDF). Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse. 1923: 89—95.