I highly recommend 'A First Course in Abstract Algebra' by Fraleigh. We have used it the past year. This book does cover Galois theory. I have a unit on Galois theory next semester but we use a different text.
I'm taking Abstract Algebra next semester, and I'm wondering if anyone [TPH, maybe?] can suggest any good books. This will be a two semester sequence for me, where I will learn about Field Theory, Rings, Groups, and all that fun stuff first semester. Then the second semester, I will be learning Galois Theory
I'd appreciate any book suggestions [on field, rings and group theory; or just Galois Theory], for I would like to get ahead in this class!!!
It makes me feel sometimes that the author does not know what he is talking about.
Beachy and Blair do a good job on Galois theory.
I would recomment Field and Galois Theory by Morandi. That is a nice book.
But it is a GTM and immediately assumes a good knowledge of algebra.