Thread: Elementary Abstact Algebra, Intermediate Analysis, or Intro to Topology

1. Elementary Abstact Algebra, Intermediate Analysis, or Intro to Topology

So I'm currently enrolled in Calc III and a sort of intro to abstract math class, but I'm trying to make up my mind on classes for next semester. Linear Algebra and Probability Theory are on the schedule now, but I have options (I think) for the others as well. I'd prefer not picking up two as I have other requirements to take care of, and the first two certainly open doors for more classes.
any ideas?

2. Re: Elementary Abstact Algebra, Intermediate Analysis, or Intro to Topology

I'd recommend Linear Algebra before taking Abstract Algebra. What is Intermediate Analysis at your uni? Topology is good to take early - any time after Calc III, I'd say.

3. Re: Elementary Abstact Algebra, Intermediate Analysis, or Intro to Topology

Intermediate Analysis is described as dealing with sequences, series, metric spaces, continuity and differentiation. The assigned book is Walter Rudin's book which I've leafed through a little. It does have a pre-req of linear, but they seem lenient about pre-reqs becoming co-reqs if you are comfortable taking them at the same time. actually all of the courses have a pre-req of linear.

4. Re: Elementary Abstact Algebra, Intermediate Analysis, or Intro to Topology

I would go ahead and treat Linear, then, as a full pre-requisite for Intermediate Analysis. Rudin will make more sense, I think, if you've had linear algebra. You also want to make sure that you've had some sort of proofs course (could be your linear algebra course, depending on how it's taught) to get ready for Rudin.

5. Re: Elementary Abstact Algebra, Intermediate Analysis, or Intro to Topology

Originally Posted by Ackbeet
I would go ahead and treat Linear, then, as a full pre-requisite for Intermediate Analysis. Rudin will make more sense, I think, if you've had linear algebra. You also want to make sure that you've had some sort of proofs course (could be your linear algebra course, depending on how it's taught) to get ready for Rudin.
Yeah, I'm in a class called bridge to abstract math that deals with some logic, set theory, and group theory. It's definitely a proofs course I would say. I'll check it all out.

6. Re: Elementary Abstact Algebra, Intermediate Analysis, or Intro to Topology

Originally Posted by eulcer
Yeah, I'm in a class called bridge to abstract math that deals with some logic, set theory, and group theory. It's definitely a proofs course I would say. I'll check it all out.
That sounds like the sort of thing you should have under your belt. If you've had Calc III, your proofs course, and Linear, then I'd say you're ready for Rudin. Have fun!
I'd recommend reading this review of Rudin's book on Amazon. Rudin has some issues, but I would recommend this guy's learning style for learning Rudin. The review in question is the one entitled "Book should be called 'Tada! You're a mathematican!' ", by Bolzano Bourbaki.

7. Re: Elementary Abstact Algebra, Intermediate Analysis, or Intro to Topology

Originally Posted by Ackbeet
That sounds like the sort of thing you should have under your belt. If you've had Calc III, your proofs course, and Linear, then I'd say you're ready for Rudin. Have fun!
I'd recommend reading this review of Rudin's book on Amazon. Rudin has some issues, but I would recommend this guy's learning style for learning Rudin. The review in question is the one entitled "Book should be called 'Tada! You're a mathematican!' ", by Bolzano Bourbaki.
Yeah, I have a copy of the international version I picked up last year.
I'll check both of those out though. Thank you.

8. Re: Elementary Abstact Algebra, Intermediate Analysis, or Intro to Topology

You're welcome. Have a good one!