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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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Winding number and the number of real zeros of a function
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by Lieven Smits and Willem Kuyk PDF
Proc. Amer. Math. Soc. 114 (1992), 981-987 Request permission

Abstract:

The theorem in this paper shows that the number of real simple zeros of a function of the form $f(x) = q(x) + ax + b,x \in \mathbb {R}$, for not too wild $q(x)$ can be obtained counting the winding number of a closed plane curve about the point $(a,b)$.
References
    W. Kuyk and L. Smits, On the geometries of the rational unfoldings of ${X^k}$, Acta Appl. Math. (to appear).
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 981-987
  • MSC: Primary 26C10; Secondary 12D10
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1054162-1
  • MathSciNet review: 1054162