Hans Rademacher: Difference between revisions
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With his retirement from the University of Pennsylvania, a group of mathematicians provided the seed funding for The Hans A. Rademacher Instructorships, and honored him with an honorary degree as Doctor of Science. |
With his retirement from the University of Pennsylvania, a group of mathematicians provided the seed funding for The Hans A. Rademacher Instructorships, and honored him with an honorary degree as Doctor of Science. |
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== Works == |
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* with [[Otto Toeplitz]]: ''Von Zahlen und Figuren.'' 1930. 2nd edn. 1933. Springer 2001, ISBN 3-540-63303-0. |
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* with [[Ernst Steinitz]] ''Vorlesungen über die Theorie der Polyeder- unter Einschluss der Elemente der Topologie.'' Springer 1932, 1976 ([http://dz-srv1.sub.uni-goettingen.de/sub/digbib/loader?did=D263392 online]). |
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* ''Generalization of the Reciprocity Formula for Dedekind Sums.'' In: ''Duke Math. Journal.'' Vol. 21, 1954, pp. 391–397. |
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* ''Lectures on analytic number theory.'' 1955. |
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* ''Lectures on elementary number theory.'' Blaisdell, New York 1964, Krieger 1977. |
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* with Grosswald: ''Dedekind sums.'' Carus Mathematical Monographs 1972. |
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* ''Topics in analytic number theory.'' ed. Grosswald. Springer Verlag, 1973 (Grundlehren der mathematischen Wissenschaften). |
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* ''Collected papers.'' 2 vols. ed. Grosswald. MIT press, 1974. |
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*''Higher mathematics from an elementary point of view.'' Birkhäuser 1983. |
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* George Andrews, Bressoud, Parsons (Hrsg.) ''The Rademacher legacy in mathematics.'' American Mathematical Society, 1994. |
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* ''Lexikon bedeutender Mathematiker.'' Deutsch, Thun, Frankfurt am Main, ISBN 3-8171-1164-9. |
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* Tom Apostol: ''Introduction to Analytical number theory.'' Springer |
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* Tom Apostol: ''Modular functions and Dirichlet Series in Number Theory.'' Springer |
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⚫ | * {{cite journal |last=Berndt |first=Bruce C. |authorlink=Bruce C. Berndt |year=1992 |title=Hans Rademacher (1892–1969) |journal=Acta Arithmetica |volume=61 |pages=209–231 |id= |url=http://matwbn.icm.edu.pl/ksiazki/aa/aa61/aa6131.pdf |format=PDF |accessdate=2009-02-07 |quote= }} Obituary and list of publications. |
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==See also== |
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*[[Rademacher complexity]] |
*[[Rademacher complexity]] |
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*[[Rademacher function]] |
*[[Rademacher function]] |
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==References== |
==References== |
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{{reflist}} |
{{reflist}} |
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⚫ | * {{cite journal |last=Berndt |first=Bruce C. |authorlink=Bruce C. Berndt |year=1992 |title=Hans Rademacher (1892–1969) |journal=Acta Arithmetica |volume=61 |pages=209–231 |id= |url=http://matwbn.icm.edu.pl/ksiazki/aa/aa61/aa6131.pdf |format=PDF |accessdate=2009-02-07 |quote= }} Obituary and list of publications. |
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==External links== |
==External links== |
Revision as of 13:16, 14 July 2012
Hans Adolph Rademacher (3 April 1892, Wandsbeck, now Hamburg-Wandsbek – 7 February 1969, Haverford, Pennsylvania, USA) was a German mathematician, known for work in mathematical analysis and number theory.
Biography
Rademacher received his Ph.D. in 1916 from Georg-August-Universität Göttingen; Constantin Carathéodory supervised his dissertation.[1] He was dismissed from his position at the University of Breslau by the Nazis in 1933 due to his public support of the Weimar Republic,[2] and emigrated from Europe in 1934.
After leaving Germany, he moved to Philadelphia and worked at the University of Pennsylvania until his retirement in 1962; he held the Thomas A. Scott Professorship of Mathematics at Pennsylvania from 1956 to 1962. Rademacher had a number of well known students, including George Andrews, Paul T. Bateman, and Theodor Estermann.
Research
Rademacher performed research in analytic number theory, mathematical genetics, the theory of functions of a real variable, and quantum theory. Most notably, he developed the theory of Dedekind sums.
Awards and honors
With his retirement from the University of Pennsylvania, a group of mathematicians provided the seed funding for The Hans A. Rademacher Instructorships, and honored him with an honorary degree as Doctor of Science.
Works
- with Otto Toeplitz: Von Zahlen und Figuren. 1930. 2nd edn. 1933. Springer 2001, ISBN 3-540-63303-0.
- with Ernst Steinitz Vorlesungen über die Theorie der Polyeder- unter Einschluss der Elemente der Topologie. Springer 1932, 1976 (online).
- Generalization of the Reciprocity Formula for Dedekind Sums. In: Duke Math. Journal. Vol. 21, 1954, pp. 391–397.
- Lectures on analytic number theory. 1955.
- Lectures on elementary number theory. Blaisdell, New York 1964, Krieger 1977.
- with Grosswald: Dedekind sums. Carus Mathematical Monographs 1972.
- Topics in analytic number theory. ed. Grosswald. Springer Verlag, 1973 (Grundlehren der mathematischen Wissenschaften).
- Collected papers. 2 vols. ed. Grosswald. MIT press, 1974.
- Higher mathematics from an elementary point of view. Birkhäuser 1983.
Further reading
- George Andrews, Bressoud, Parsons (Hrsg.) The Rademacher legacy in mathematics. American Mathematical Society, 1994.
- Lexikon bedeutender Mathematiker. Deutsch, Thun, Frankfurt am Main, ISBN 3-8171-1164-9.
- Tom Apostol: Introduction to Analytical number theory. Springer
- Tom Apostol: Modular functions and Dirichlet Series in Number Theory. Springer
- Berndt, Bruce C. (1992). "Hans Rademacher (1892–1969)" (PDF). Acta Arithmetica. 61: 209–231. Retrieved 2009-02-07. Obituary and list of publications.
See also
- Rademacher complexity
- Rademacher function
- Rademacher sum
- Rademacher–Kolmogorov theorem
- Rademacher–Menchov theorem
- Rademacher's series
- Rademacher distribution
- Rademacher's theorem
References
- ^ Hans Rademacher at the Mathematics Genealogy Project.
- ^ Siegmund-Schultze, Reinhard (2009). Mathematicians fleeing from Nazi Germany: individual fates and global impact. Princeton University Press. p. 69. ISBN 978-0-691-14041-4..
External links
- O'Connor, John J.; Robertson, Edmund F., "Hans Rademacher", MacTutor History of Mathematics Archive, University of St Andrews
- Hans Rademacher at the Mathematics Genealogy Project