Timeline for Gauss proof of fundamental theorem of algebra
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jan 3, 2022 at 14:53 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
minor typos
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| Nov 9, 2017 at 9:57 | comment | added | sobasu | I am completely wrong there, of course! Thanks for clarifying. I was considering his fourth proof from 1849, which is very similar to his first proof and in which he tried to unsuccessfully plug the loopholes. So in principle he could have filled in the "gap". As for ignoring Bolzano's theorem, the personal biases of mathematicians are at fault, not available mathematical knowledge. And the reference that I have included fills in the "gap" using post-Dedekind knowledge, so it indeed does not do chronological justice to Gauss's first proof. | |
| Nov 9, 2017 at 8:07 | comment | added | Kostya_I | Can you clarify how a theorem proven in 1817 (and infamous for being completely ignored even after that) was already known in 1799? | |
| Nov 7, 2017 at 15:44 | comment | added | sobasu | Before Gauss's first proof, Bolzano theorem (Later known as Bolzano-Weistrass theorem) was already known. Concept of supremum and infimum was also known to Gauss. It was theoretically possible to build a proof by putting these together (reference). Of course completeness of real numbers would have to be assumed, but that is less subtle a gap than considering algebraic curves entering and leaving a closed region. | |
| Jan 20, 2017 at 13:00 | history | answered | Kostya_I | CC BY-SA 3.0 |