Keith's references
Lindemann-Weierstrass
Theorem:
Proof that
straight edge and compass only give Q[sqrt(k_i)], the extensionfields
of the rationals by k^(-n) where n is a power of 2:
Proof that
e and pi are transcendental:
Proof of the Lindemann-Weierstrass Theorem:
Alan Baker, Transcendental Number Theory, Cambridge University Press,
1975, ISBN 0-521-39791-X. (Checked this book out from the library.)
March 7, 2007