Because I just can’t seem to be faithful to one single textbook (I always pick them apart and find things I don’t like about them, and my journey continues), I will be compiling a wonderfully explosive reference for field theory and Galois theory on my spare time, drawn from several sources, and punctuated with my own commentary. It is still in its infancy, but if you head over to the Notes section, you can check out what I have so far. It will be listed under PMATH 442. Enjoy.
EDIT: I’ve been pretty occupied with other stuff for the past few days (monoidal categories/some categorical quantum mechanics). I’ll be returning to work on the document shortly.