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.
  • David Hilbert, "Über die Transcendenz der Zahlen e und pi", Mathematische Annalen 43:216–219 (1893).
  • Hermite, C. "Sur la fonction exponentielle." C. R. Acad. Sci. Paris 77, 18-24, 74-79, and 226-233, 1873.--Oliver (talk) 08:18, 25 December 2014 (UTC)
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)