Talk:Euler's Number is Transcendental
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"The transcendence of $e$ was first proved by Charles Hermite in 1873." Is this the proof he gave? --prime mover (talk) 07:05, 24 December 2014 (UTC)
- The proof given here is a simplification of Hermite's original proof, due to Hilbert. --Oliver (talk) 06:45, 25 December 2014 (UTC)
- Thx. --prime mover (talk) 07:19, 25 December 2014 (UTC)
- I have taken a look round the internet to see whether I can find out the publication this originally appeared in so I can add the citation to the Sources section of this page, but no luck. Any idea? --prime mover (talk) 07:32, 25 December 2014 (UTC)
- These are the original sources according to Mathworld and Wikipedia.
- Incidentally, my personal source was Spivak's Calculus, which doesn't seem to be on Proofwiki:Books yet! --Oliver (talk) 08:24, 25 December 2014 (UTC)
- One will see what one can do ... --prime mover (talk) 09:38, 25 December 2014 (UTC)
- ... that omission has been rectified. --prime mover (talk) 12:54, 25 December 2014 (UTC)
Ian Stewart's book Galois Theory 2nd Ed. has a much simpler presentation of this proof. Fundamentally the same argument, it's essentially the same proof, but doesn't use nearly as many definitions and so on. Would I be allowed to make a major revision of this article based on this source. Theweakestlink (talk) 18:42, 15 April 2017 (EDT)
- No you may not make a revision, but you may add the Stewart proof in a separate page. I have set up the page Euler's Number is Transcendental/Proof 2 for you to use. --prime mover (talk) 03:32, 16 April 2017 (EDT)
Adding another proof
Here is a proof I recently created on Wikibooks, If anyone wants to add this to the page. Simcha Waldman (talk) 10:08, 19 April 2024 (UTC)
- I have added a page on $\mathsf{Pr} \infty \mathsf{fWiki}$ into which you may feel free to transliterate this proof.
- It will of course need to be rewritten into the rigorous $\mathsf{Pr} \infty \mathsf{fWiki}$ form. --prime mover (talk) 10:20, 19 April 2024 (UTC)