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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?

Thank you.

  • 3
    Looks like several people have good advice. I'd particularly recommend you don't spend much time on Rudin. The analysis material is all about being able to apply the mean value theorem etc, at a somewhat lower level.2012-08-13
  • 0
    Edgar, is the topology part of the GRE subject really only up to Chapter 3 in Munkres Topology? I read it's up to Chapter 6. Asked [here](https://math.stackexchange.com/questions/2780653) and [here](http://www.mathematicsgre.com/viewtopic.php?f=1&t=4552)2018-09-14

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