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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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by Angelo Barone Netto PDF
Proc. Amer. Math. Soc. 92 (1984), 604-608 Request permission

Abstract:

Given a real polynomial $f$ with $f(0) = 0$, we define a finite family of germs of smooth one-variable functions that can be used to test if $f$ has an extreme value at 0. A generalization is obtained for functions that have $k$-jets in a suitable sense.
References
    C. Gibson et al., Construction of canonical stratifications—topological stability of smooth mappings, Lecture Notes in Math., vol. 552, Springer-Verlag, Berlin, Heidelberg and New York, 1976.
  • John Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. 61, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. MR 0239612
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 92 (1984), 604-608
  • MSC: Primary 58C27
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0760952-8
  • MathSciNet review: 760952