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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Winding number and the number of real zeros of a function


Authors: Lieven Smits and Willem Kuyk
Journal: Proc. Amer. Math. Soc. 114 (1992), 981-987
MSC: Primary 26C10; Secondary 12D10
MathSciNet review: 1054162
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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 [Enhancements On Off] (What's this?)

  • [1] 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

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1054162-1
PII: S 0002-9939(1992)1054162-1
Article copyright: © Copyright 1992 American Mathematical Society