| Autor: |
Brilleslyper, Michael A., Schaubroeck, Beth |
| Předmět: |
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| Zdroj: |
Primus: Problems, Resources & Issues in Mathematics Undergraduate Studies; 2017, Vol. 27 Issue 8/9, p766-777, 12p |
| Abstrakt: |
The Gauss-Lucas Theorem is a classical complex analysis result that states the critical points of a single-variable complex polynomial lie inside the closed convex hull of the zeros of the polynomial. Although the result is well-known, it is not typically presented in a first course in complex analysis. The ease with which modern technology allows the plotting of zeros and critical points makes the result discoverable by students. We propose a visual investigation, followed by a series of exercises leading to different complete proofs of the theorem. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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