/sci/ - Science & Math

>>5553309
I'd challenge him on quake 3

>>5553309
You could try Artin's "Algebra". That's a good introduction.

Also, how proof-heavy was your linear algebra course? If you don't have much experience with proofs, Axler's "Linear Algebra Done Right" is a great way to learn while improving your grasp of the more abstract perspective on linear algebra.

Rotman's Advanced Modern Algebra, 2nd edition.
The first edition is a lot different (worse), or that least that's what they told me.

Dummit and Foote

>>5553355
>Artin's "Algebra"

seconded

>>5553355
I took a proof class. I'm comfortable with proofs.

>>5553892
Then yeah, you should check out Artin's "Algebra". Dummit and Foote is also a good source of exercises and some more advanced material, but their explanations are sometimes overly wordy and not very enlightening.

Isaacs' "Algebra" is another useful book; it's more advanced than Artin, so you might not want to jump into it right away, but it has a lot more group theory than most algebra books, as well as an excellent chapter on finite fields.

Lang's "Algebra" is good for taking another look at concepts from a more advanced perspective once you're already somewhat comfortable with them. It's one to keep in the back of your mind and take a look at eventually, but definitely not one to start with.

I'm not OP, but I'm also interested in this. Artin's "Algebra" looks quite good but is there a way to check if I'm doing right the exercises? I think that's important for a self-learner

>>5554352
If you aren't sure your solutions is correct then you haven't understood the material yet.

>>5554356
but there's the thing of thinking it be but it dont

>>5554387
There are also automated proof checker.

Dummit and Foote is a bit long and as previous poster said (except for some group theory sections) the explanations are not very insightful. The module chapters are terrible imo (I seriously do not understand why one would do pid module structure theory without smiths form). Also, it contains insanely much material, definitely too much for an introduction. Definitely go for Artin over DF.

If you are just starting, consider Fraleigh. It will take you through all basic group and ring theory. It contains very good sections on Sylow theorems, Hölder programme and basic theorems of pids/euclidean domains. It is quite easy to read.

On this page
http://www.math.uiuc.edu/~r-ash/
you will find a very nice free book. The proofs are sometimes hard to understand, but it goes very far very fast. The section on modules is pretty shitty, and Galois theory was very hard to understand. The group theory chapters and especially the algebraic geometry one were very pleasant. All in all it is one of my favourite books.

tl;dr.

>>5554452
tl;dr was supposed to be:
>grab the free book, buy fraleigh or artin.

>>5553309
Stab him in the neck.

Lang
Hungerford
Eisenbud
Hartshorne

http://www.math.niu.edu/~beachy/aaol/
This website has good supplemental material for abstract algebra. I got the relevant book and it was pretty good. It has good proofs, and covers a variety of topics related to groups and fields.
Check out Beachy and Blair's "Abstract Algebra". It's got a nice black hardcover to boot.

>>5553319
You cad! I bite my thumb at thee!

dm6 no super powerups final destination

Those were the days. brings a tear to my eye.

>>5553309
Pull out all his hairs, all of them, one by one. Then dump him in a tub full of 100% capsaicin.

Then torture him to death.

>>5553309
Stab him in the chins.

>>5553309
http://www.amazon.com/First-Course-Abstract-Algebra-Edition/

>>5554658
>>5554686
>pic unrelated

yeah, OP probably shouldnt have posted that.