1. Mar 18, 2007 #1

   sutupidmath

   

   Can anyone tell me where i could find the proof that e is not an algebracic number, but instead it is transcendent?
   
   thnx

    

   sutupidmath, Mar 18, 2007
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3. Mar 18, 2007 #2

   Gib Z

   

   Homework Helper

   [itex]e^a[/itex] is transcendental for any non-zero algebraic [itex]a[/itex]. This is a consequence of the Lindemann-Weierstrass Theorem, look that up anywhere.

    

   Gib Z, Mar 18, 2007
4. Mar 18, 2007 #3

   Gib Z

   

   Homework Helper

   Independently of the theorem, here is another proof I found : http://en.wikipedia.org/wiki/Transcendental_number

    

   Gib Z, Mar 18, 2007

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