I just graduated from a regional university in the US with a minor in mathematics. There is a masters program overseas, for economics, that I want to attend but they require applicants to take the Math subject GRE. I have never had a formal introduction to abstract algebra or to topology. I have some time to take the GRE next year, I understand it is only administered three times a year.
My question is, would the following be a good selection of textbooks to self-study intensively for say, six months?
Apostol Volume 1,2
Dummit Foote Abstract Algebra
Munkres Topology, just up to chapter 3
- Rudin Analysis
I did take an Advanced Calculus course, but dropped it. I really wanted an A in the course and was headed for a B-.
I have found some lecture notes online, plus videos such as Harvard's algebra course online. Also, I planned on asking questions here if I got stumped or confused in the more abstract material.
Would going through these books be sufficient? It seems like the entire undergrad in math, except for things like number theory...should I even care about that?