Linked Questions

1
vote
2answers
3k views

Comparing Artin with Dummit and Foote' Algebra text [duplicate]

I am about to take a course in undergraduate Algebra which is using Artin's Algebra. I have been studying from it and haven't really appreciated the combination of text and problems (granted, I haven'...
1
vote
2answers
807 views

abstract algebra recommended book [duplicate]

I'm taking abstract algebra in university. My lecturer use Robert Ash notes as lecture notes. But I think that is not enough as very few things are mentioned in the notes. Can anyone recommend a book ...
2
votes
3answers
131 views

Looking for a Recommendation on an Abstract Algebra Text [duplicate]

During these days, I have been reading some books concerning algebraic geometry. But I learned commutative algebra two years ago, I cannot remember some basic things such as the definition of ...
3
votes
1answer
519 views

Suggestion for modern algebra textbook [duplicate]

I am trying to self-study abstract/modern algebra. I am currently trying to learn from Josephn Gallian's Contemporary Abstract Algebra 7th edition and free lecture notes from the internet. So are ...
1
vote
1answer
179 views

Good Books On Abstract Algebra [duplicate]

I'm looking for some books on abstract algebra which go into a lot of depth and still ensure I gain a lot of intuition. Any suggestions?
61
votes
4answers
69k views

Good books for a high schooler self-studying Abstract Algebra?

Does anyone have any suggestions for abstract algebra books particularly suited to self-study? Here is some background and motivation, if it's helpful. I'm currently a junior in high school, but I ...
20
votes
7answers
5k views

Guides/tutorials to learn abstract algebra?

I recently read up a bit on symmetry groups and was interested by how they apply to even the Rubik's cube. I'm also intrigued by how group theory helps prove that "polynomials of degree $\gt4$ are not ...
8
votes
5answers
22k views

The square of an integer is congruent to 0 or 1 mod 4

This is a question from the free Harvard online abstract algebra lectures. I'm posting my solutions here to get some feedback on them. For a fuller explanation, see this post. This problem is from ...
11
votes
6answers
7k views

Abstract algebra book recommendations for beginners.

I am taking abstract algebra in this semester. I find that my lecturer didn't provide enough examples for understanding. So I would like to ask what are the recommended books which has lots of solved ...
18
votes
1answer
16k views

How does Dummit and Foote's abstract algebra text compare to others? [closed]

I am looking for a good book on abstract algebra (and if possible linear algebra). Obviously as most of these texts are fairly expensive I want to know for sure which one is best for me. Could ...
12
votes
4answers
655 views

Elementary problems that would've been hard for past mathematicians, but are easy to solve today? [closed]

I'm looking for problems that due to modern developments in mathematics would nowadays be reduced to a rote computation or at least an exercise in a textbook, but that past mathematicians (even famous ...
2
votes
3answers
3k views

What is a good Algebra reference text?

I'm looking for a reference text with classic results in algebra, like Fundamental theorem of finitely generated abelian groups Every field has a unique smallest prime field, which is either $\mathbb{...
0
votes
2answers
611 views

Good book for a comprehensive course in modern algebra (categories, modules, groups, rings, fields, galois theory, and representation theory)? [closed]

I'm searching for a book to finally top off and polish my idea of introductory abstract algebra before I go further. I've done Gallian and some online 'open' courses, but what I want now is a book ...
2
votes
2answers
345 views

Algebra Text Recommendations [closed]

I am looking for any recommendations or suggestions for a good book covering an introduction to the following; Relation , sets and functions, divisibility theory and modular arithmetic , groups, rings,...
3
votes
1answer
298 views

What's are some good tutorials/books for (re)learning abstract algebra and its uses/applications?

I want to (re)learn abstract algebra for the 'fun of it'. What are some good books/references, online tutorials for the same? I want something that I can read at leisure and not fall asleep while ...

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