Where Can I Find a Proof That e is a Transcendental Number?

[sutupidmath]

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

thnx

 

[Gib Z]

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

 

[Gib Z]

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