Hello /sci/, i am taking a class on Galois theory and my class is following Milne's notes on Galois theory but I cannot follow it /I find it too fast paced and compact
Can sci suggest a better Galois Theory book that has same content approximately as Milne but better paced with more exercises and explanations


Here is link for Milne's notes
https://www.jmilne.org/math/CourseNotes/FT.pdf

>>16699380 (OP)
honestly just read the secions in Lang's Algebra. They're written very clearly

>>16699380 (OP)
Do more problem. Less book collecting. Less /sci/. Less 4chan. Less reddit. Less discord.
Obviously you won't do it.

>>16699929
TELL ME PROBLEM SOURCES

>>16700081
szamuely galois groups and fundamental groups
Douady. Algebra and Galois Theories

>>16699380 (OP)
Dummit and Foote is the bible for anything algebra related. Great explanations and huge collections of exercises.

>>16699380 (OP)
I'm actually pretty well-acquainted with the usual sources for field/Galois theory. Specify for me your algebra background (if you've had an "abstract algebra" course before and what it has covered) and your overall "maturity level" (what's the toughest course/textbook you've covered), and I'll get back to you.

>>16699380 (OP)
Fraleigh, then D&F /thread

>>16700280
I know linear algebra from hoffman kunze, I did group theory from rotman group theory (upto sylow and solvable groups )
And aliyah Mcdonald first 2 chap ring theory
I also did first 5 chapter of David Burton ring theory

I also have brief idea of category theory

>>16700122
Great recs

>>16699380 (OP)
When I studied Galois theory, we were using Artin.

>>16700128
This is good advice.

>>16700549
You're more than equipped for a "tough" textbook, idk why you're having a bad time with Milne. Skip D&F, it's too soft and wordy. You can use Lang's Algebra, but desu it's kinda dry (as much or more than Milne), I'd use it as a repository of results (list of things you should know). For actually learning the stuff, try the relevant chapters in Isaacs' "Algebra" and Jacobson's "Basic Algebra I&II", both are very, very good. If you want to go all in on field and Galois theory check out Falko Lorenz' "Algebra I&II", it's an underrated gem: he starts with only Hoffman-Kunze level linear algebra as a prerequisite and takes you through all of fundamentals of algebra (and pretty far beyond) through the prism of fields (you can always skip the stuff you already know).