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What is a very comprehensive text regarding Galois Theory?

I'm about to take a course in Galois Theory this spring, and I usually like to complement my course texts with something more rigorous, such as Rudin's Real and Complex Analysis or Ahlfor's Complex Analysis for my real/complex analysis courses, that way I can continue my learning even after a semester without skipping a beat.

I've heard of Lang's Algebra book, and it certainly seems to be good in terms of Algebra, but I wasn't sure how it stacked up when it came to Galois Theory. What say you, MSE?

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You might want to peruse these recent notes An Introduction to Galois Theory by Andrew Baker, including the nice list of references in the bibliography. Regards –  Amzoti Jan 1 '13 at 22:49
    
@Amzoti: Thanks for the link! I'll definitely give it an in-depth consideration when I have more time (probably tomorrow morning). –  Clayton Jan 1 '13 at 23:08
    
@Amzoti Nice link, looks like they were just updated. Thanks. –  Andrew Jan 2 '13 at 0:01
    
Stewart - Galois Theory is a great introductory text. I found it very useful when I took a first course in Galois Theory last year. It's not the most comprehensive though. Hope that helps! –  Edward Hughes Jan 2 '13 at 0:47
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I taught from the 2nd edition of Stewart several times. I wasn't happy with the changes in the 3rd edition, but it's still not a bad book for your purposes. –  Gerry Myerson Jan 2 '13 at 1:34

1 Answer 1

Hungerford's book Algebra has excellent coverage of lots of topics, including Galois theory. It also has an excellent selection of problems. It is a good place for a first run through the subject, before you read something more specialized.

The 1984 book by H. M. Edwards looks like a a good choice for further study.

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