Mar 18, 2007 #1 sutupidmath Messages 1,629 Reaction score 4 Can anyone tell me where i could find the proof that e is not an algebracic number, but instead it is transcendent? thnx
Can anyone tell me where i could find the proof that e is not an algebracic number, but instead it is transcendent? thnx
Mar 18, 2007 #2 Gib Z Homework Helper Messages 3,341 Reaction score 7 e^a is transcendental for any non-zero algebraic a. This is a consequence of the Lindemann-Weierstrass Theorem, look that up anywhere.
e^a is transcendental for any non-zero algebraic a. This is a consequence of the Lindemann-Weierstrass Theorem, look that up anywhere.
Mar 18, 2007 #3 Gib Z Homework Helper Messages 3,341 Reaction score 7 Independently of the theorem, here is another proof I found : http://en.wikipedia.org/wiki/Transcendental_number
Independently of the theorem, here is another proof I found : http://en.wikipedia.org/wiki/Transcendental_number