Reference Request for a book on Field Theory

Question

Please recommend me a book on Field theory which has in-depth proofs and intuition would by a plus point. Lately i've been having a hard time with it. Thanks. :)

I've tried Basic Algebra by P.M. Cohn and Topics in Algebra by I.N. Herstein, but I'm not very comfortable with them.

Topics

$1)$ Field Extensions

$2)$ Splitting Fields

$3)$ Normal fields and Normal Closure

$4)$ Automorphisms in field.

I cannot recall more. :)

basic algebra 1 and basic algebra 2 of jacobson are nice. – Lolman Oct 18 '14 at 14:07 — Lolman, Oct 18 '14 at 14:07

score 8 · Answer 1 · answered Oct 18 '14 at 14:33

8

You could try Milne's Fields and Galois Theory, available for free on his website. It seemed relatively thorough last time I skimmed it.

answered Oct 18 '14 at 14:33

k g

91

Thank you! This website is amazing,l like it! – W.Leywon May 26 '17 at 01:27

score 1 · Accepted Answer · answered Oct 28 '14 at 22:58

1

You can try Thomas W. Hungerford's algebra. Has helped me very much.

answered Oct 28 '14 at 22:58

Swapnil Tripathi

3,809

Reference Request for a book on Field Theory

2 Answers2

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