Timeline for Gauss proof of fundamental theorem of algebra
Current License: CC BY-SA 4.0
7 events
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Jan 3, 2022 at 14:58 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
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Mar 31, 2016 at 13:08 | vote | accept | JonP | ||
Mar 30, 2016 at 15:08 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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Mar 30, 2016 at 11:36 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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Mar 30, 2016 at 11:18 | comment | added | JonP | Thank you for this very interesting answer. I suppose then that Gauss uses (but does not prove) the following true assertion : "For any compact $K$ of the plane, any branch of any plane real algebraic curve $\gamma$ that intersects the boundary of $K$ properly (in the sense that the curve is not included in $K$ or its complement), actually intersects it properly at least two times". Am I correct in saying that this is true and that this is proven in the reference Alexander Ostrowski ? Is that a classical result in the "modern" theory ? If so, where can I find it "easily" (in a textbok) ? | |
Mar 29, 2016 at 21:09 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
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Mar 29, 2016 at 21:02 | history | answered | Carlo Beenakker | CC BY-SA 3.0 |