On Gauss’s first proof of the fundamental theorem of algebra
HTML articles powered by AMS MathViewer
- by S. M. Gersten and John R. Stallings PDF
- Proc. Amer. Math. Soc. 103 (1988), 331-332 Request permission
Abstract:
Gauss’s first proof of the Fundamental Theorem of Algebra is shown to be related to basic properties of free groups.References
-
C. F. Gauss, Werke, vol. 3, Georg Olms Verlag, Hildesheim and New York, 1973.
- Richard Z. Goldstein and Edward C. Turner, Applications of topological graph theory to group theory, Math. Z. 165 (1979), no. 1, 1–10. MR 521516, DOI 10.1007/BF01175125
- Steve Smale, The fundamental theorem of algebra and complexity theory, Bull. Amer. Math. Soc. (N.S.) 4 (1981), no. 1, 1–36. MR 590817, DOI 10.1090/S0273-0979-1981-14858-8
- Shlomo Sternberg, Lectures on differential geometry, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0193578
- D. J. Struik (ed.), A source book in mathematics, 1200–1800, Harvard University Press, Cambridge, Mass., 1969. MR 0238647
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 331-332
- MSC: Primary 20E05; Secondary 12-01
- DOI: https://doi.org/10.1090/S0002-9939-1988-0938691-3
- MathSciNet review: 938691