Abstract
“Algebra is fit enough to help us make discoveries, but not fit to bequeath them to posterity.” This sentiment, shared by many rigorous seventeenth century mathematicians, aptly characterizes the subservient place algebra held within mathematics for centuries. It is difficult to conceive even the most ardent nineteenth century champion of algebra suggesting that “algebra is the foundation and tool of all mathematics,” as Emmy Noether would do in 1931 [1].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alexandroff, Paul. 1936. Uspekhi Mat. Nauk 2:254–265. Translated as“ In Memory of Emmy Noether ” in Brewer and Smith 1981.
Alexandroff, Paul and Hopf, Heinz. 1935. Topologie. Berlin: Julius Springer.
Brewer, James W. and Smith, Martha K. 1981. Emmy Noether. A Tribute to Her Life and Work. New York and Basel: Marcel Dekker.
Dedekind, Richard. 1969. Gesammelte mathematische Werke. 3 vols. Bronx, N.Y.: Chelsea. (= reprint of 1930–1932 edition.)
Dedekind, R. & Weber, H. 1882. “Theorie der algebraischen Funktionen einer Veraenderlichen.” Journal fuer die reine und angewandte Mathematik 92:181–290.
Dick, Auguste. 1970. Emmy Noether 1882–1935. Basel: Birkhaeuser.
Dyck, Walter 1882. “Gruppentheoretische Studien.” Mathematische Annalen 20:1–44.
Froehlich, A. 1981. “Algebraic Number Theory.” Pp. 157–163 in Brewer and Smith 1981.
Gilmer, Robert 1981. “Commutative Ring Theory.” Pp. 131–143 in Brewer and Smith 1981.
Hilbert, David. 1890. “Ueber die Theorie der algebraischen Formen.” Mathematische Annalen 36:473–534 (=Gesammelte Abhandlungen 2:199–257).
Hilbert, David. 1893. “ Ueber die vollen Invariantensysteme.” Mathematische Annalen 42:313–373 (=Gesammelte Abhandlungen 2 :287–344).
Hilbert, David. 1896. “Ueber die Theorie der algebraischen Invarianten.”Mathematical Papers Read at the International Mathematical Congress Chicago 1893. Pp. 116–124. New York: Macmillan & Co. (= Gesammelte Abhandlungen 2:376–383).
Hilbert, David. 1897. “Die Theorie der algebraischen Zahlkoerper.” Jahresbericht der Deutschen Mathematiker- Vereinigung 4 :175–546 (= Gesammelte Abhandlungen 1:163–363).
Hilbert, David. 1914a. “Ueber die Invarianten eines Systems von beliebig vielen Grundformen.” Pp. 448–451 in Mathematische Abhandlungen Hermann Amandus Schwarz zu seinem fuenfzigsten Doktorjubilaeum. Berlin: Julius Springer. (= Gesammelte Abhandlungen 2 :390–392.)
Kimberling, Clark. 1981. “Emmy Noether and her Influence.” Pp. 3–61 in Brewer and Smith 1981.
Klein, Felix. 1921. Gesammelte Mathematische Abhandlungen 1. Berlin: Julius Springer.
Kline, Morris. 1972. Mathematical Thought from Ancient to Modern Times. New York: Oxford University Press.
Kronecker, L. 1882. “Grundzuege einer arithmetischen Theorie der algebraischen Groessen.” Journal fuer die reine und angewandte Mathematik 92:1–122 (= Werke 2:237–387).
Lam, T. Y. 1981. “Representation Theory.” Pp. 145–155 in Brewer and Smith 1981.
Minkowski, Hermann. 1973. Briefe an David Hilbert. Edited by L. Ruedenberg and H. Zassenhaus. Berlin, Heidelberg, New York: Springer-Verlag.
Netto, Eugen. 1882a. Substitutionentheorie und ihre Anwendung auf die Algebra. Leipzig: B. G. Teubner. Poincare, Henri. 1908. Science et Methode. Paris: Flammarion.
Salmon, George. 1859. Lessons Introductory to the Modern Higher Algebra. Dublin: Hodges, Smith & Co. (4th edition = 1885).
Smith, Martha K. 1976. “Emmy Noether’s Contribution to Mathematics.” 13 pp.
Steinitz, Ernst. 1909–1910. “Algebraische Theorie der Koerper.” Journal fuer die reine und angewandte Mathematik 137:167–246 and 247–309.
Swan, Richard G. 1981. “Galois Theory;” Pp. 115–124 in Brewer and Smith 1981.
Sylvester, J. J. 1882. “A Word on Nomons.” Johns Hopkins University Circulars 1:241–242. (=Collected Mathematical Papers 3:647–649).
Sylvester, J. J. 1883. Note on the preceding. Johns Hopkins University Circulars 2:46. (= Collected Mathematical Papers 3:649–650).
Vehlen, O. 1927. Invariants of Quadratic Differential Forms. Cambridge Tracts in Mathematics and Mathematical Physics… no. 24. Cambridge: University Press.
Van der Waerden, B. L. 1935. “Nachruf auf Emmy Noether.” Mathematische Annalen 111:469–474. (Reprinted in Dick 1970; translated in Brewer and Smith 1981.)
Washington, D. C. 1927 & 1929. The Library of Congress. Oswald Veblen Papers. General Correspondence. (Letters from Paul Alexandroff of 8 January 1929 and from Emmy Noether of 29 September 1927.)
Weyl, Hermann. 1935. “Emmy Noether” Scripta Mathematics 3:201–220. (Reprinted in Dick 1970.)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag New York Inc.
About this paper
Cite this paper
Merzbach, U.C. (1983). Emmy Noether: Historical Contexts. In: Srinivasan, B., Sally, J.D. (eds) Emmy Noether in Bryn Mawr. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5547-5_12
Download citation
DOI: https://doi.org/10.1007/978-1-4612-5547-5_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-5549-9
Online ISBN: 978-1-4612-5547-5
eBook Packages: Springer Book Archive