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The Twin of a Theorem by Cauchy

Aaron Melman
The American Mathematical Monthly
Vol. 120, No. 2 (February 2013), pp. 164-168
DOI: 10.4169/amer.math.monthly.120.02.164
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.120.02.164
Page Count: 5
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The Twin of a Theorem by Cauchy
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Abstract

Abstract A classical result by Cauchy determines a disk containing all the zeros of a given polynomial. We derive this result using only linear algebra techniques, and, in the process, discover a twin disk that also contains all the zeros of the polynomial.

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