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ISSN 1088-9485(e) ISSN 0273-0979(p)

Minkowski in Königsberg 1884: A talk in Lindemann's colloquium

Author(s): Joachim Schwermer
Journal: Bull. Amer. Math. Soc. 47 (2010), 355-362.
MSC (2000): Primary 11F75, 22E40; Secondary 11F70, 57R95
Posted: February 2, 2010
MathSciNet review: 2594631
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References:

1.: C. F. GAUSS, Recension der ``Untersuchungen über die Eigenschaften der positiven ternären quadratischen Formen von Ludwig August Seeber.'' Göttingsche Gelehrte Anzeigen, July 9, pp. 1065 (1831); reprinted in J. Reine Angew. Math. 20 (1840), 312-320.
2.: CH. HERMITE, Extraits de lettres de M. Ch. Hermite à M. Jacobi sur différents objets de la théorie des nombres, J. Reine Angew. Math. 40 (1850), 261-315.
3.: C. JUNGNICKEL, R. MCCORMMACH, Intellectual Mastery of Nature-Theoretical Physics from Ohm to Einstein, 2 vols., 1: The Torch of Mathematics 1800-1870, 2: The Now Mighty Theoretical Physics 1870-1925. Chicago: The University of Chicago Press 1986.
4.: F. LINDEMANN, Lebenserinnerungen, ed. I.Verholzer, München: Selbstverlag 1971.
5.: H. MINKOWSKI, Sur la réduction des formes quadratiques positives quaternaires, C. R. Acad. Sci. 96 (1883), 1205-1210.
6.: H. MINKOWSKI, Diskontinuitätsbereich für arithmetische Äquivalenz, J. Reine Angew. Math. 129 (1905), 220-279.
7.: H. MINKOWSKI, Gesammelte Abhandlungen , ed. D. Hilbert, coll. A. Speiser, H. Weyl, 2 vols. Leipzig, Berlin: Teubner 1911. Reprinted in 1 vol. New York: Chelsea 1967.
8.: K. OLESKO, Physics as a Calling. Discipline and Practise in the Königsberg Seminar for Physics, Ithaca and London: Cornell University Press 1991.
9.: K.-H. SCHLOTE, Die Königsberger Schule, In: Die Albertus-Universität zu Königsberg und ihre Professoren, ed. D. Rauschning, D. v. Nerée, pp. 499-508. Berlin: Duncker-Humblot 1995
10.: J. SCHWERMER, Räumliche Anschauung und Minima positiv definiter quadratischer Formen: Zur Habilitation von Hermann Minkowski 1887 in Bonn, Jahresber. Deutsch. Math. Verein. 93 (1991), 49-105. MR 1106536 (92f:01027)
11.: J. SCHWERMER, Reduction theory of quadratic forms: towards Räumliche Anschauung in Minkowski's early work, In: The Shaping of Arithmetic after C. F. Gauss's Disquisitiones Arithmeticae, (ed. C. Goldstein, N. Schappacher, J. Schwermer), pp. 483-504, Berlin-Heidelberg-New York: Springer 2007. MR 2308294
12.: W. STROBL, Aus den wissenschaftlichen Anfängen Hermann Minkowskis, Historia Math. 12 (1985), 142-156. MR 795135 (86h:01051)

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Additional Information:

Joachim Schwermer
Affiliation: Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, A-1090 Vienna, Austria; and Erwin Schrödinger International Institute for Mathematical Physics, Boltzmanngasse 9, A-1090 Vienna, Austria
Email: Joachim.Schwermer@univie.ac.at

DOI: 10.1090/S0273-0979-10-01291-7
PII: S 0273-0979(10)01291-7
Keywords: Quadratic forms, reduction theory
Received by editor(s): October 2, 2009.
Posted: February 2, 2010
Additional Notes: The author thanks Della Fenster for her insightful comments on a first version of this note.
Copyright of article: Copyright 2010, American Mathematical Society

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