Galois Theory Texts

Question

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?

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 01 '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 01 '13 at 23:08
@Amzoti Nice link, looks like they were just updated. Thanks. — , Jan 02 '13 at 00:01
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 02 '13 at 00:47
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 02 '13 at 01:34
Here is a link to another generously free download from Milne. I have not used this, but his texts are excellent. http://www.jmilne.org/math/CourseNotes/ft.html — , Jan 02 '13 at 02:38
Also "Dummit & Foote" is excellent with lots of examples and detailed proofs. — , Jan 02 '13 at 12:55
For a different perspective, see https://math.stackexchange.com/a/53661/589 — lhf, Feb 03 '22 at 10:45

score 2 · Answer 1 · answered Jan 01 '13 at 23:16

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.

Galois Theory Texts

1 Answers1