The Transcendence of e

 

Title: The Transcendence of e
Author: Manuel Eberl
Submission date: 2017-01-12
Abstract:

This work contains a proof that Euler's number e is transcendental. The proof follows the standard approach of assuming that e is algebraic and then using a specific integer polynomial to derive two inconsistent bounds, leading to a contradiction.

This kind of approach can be found in many different sources; this formalisation mostly follows a PlanetMath article by Roger Lipsett.

BibTeX:
@article{E_Transcendental-AFP,
  author  = {Manuel Eberl},
  title   = {The Transcendence of e},
  journal = {Archive of Formal Proofs},
  month   = jan,
  year    = 2017,
  note    = {\url{http://isa-afp.org/entries/E_Transcendental.shtml},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License