What are the prerequisites for taking introductory abstract algebra? [closed]

Solution 1:

If you have the interest, and are willing to work hard, go for it!

I first encountered proofs in linear algebra, and then in abstract algebra; it's a good domain of study for learning how to write proofs. I'd suggest you "skim" Hungerfords text in advance of the class to "preview" and become acquainted his style of writing and his manner of writing proofs..

At the same time you're previewing the course text, it might be wise to get a hold of the book:
How to Prove It: A Structured Approach by Daniel Velleman. I think you'd find it helpful to read and work through this book, at least in part, before taking the class. And in any case, it will serve as a good reference while taking the class, for help to better understand proofs and write them well.

How to Prove It... expands on each of the following topics:

*) The sentential (propositional) and predicate logic; quantificational logic
*) Set theory
*) Relations and functions
*) Mathematical induction and recursion
*) Infinite sets
*) Proof-writing

If you click on the link to the book, you can "preview" the book, and see the table of contents.

Other possible resources, both of which are highly regarded:

• How to Solve It, author G. Polya.
• Thinking Mathematically, authors J. Mason, L. Burton, K. Stacey.

Solution 2:

You might want to look at the Proof books on my posting here: how to be good at proving?

You might also want to read this wonderful book as an introduction and truly work through it A Book of Abstract Algebra: Second Edition (Dover Books on Mathematics), Charles C Pinter (Author)

Lastly, I would recommend reading the responses here: A Book for abstract Algebra

Regards -A