maclane

Well I'm not really much of an analysis person, but Rudin is pretty much the standard (I think it's called Principles of Mathematical Analysis). It's not super easy to just read independently though... I think it tends to overcomplicate things by doing stuff like focusing on metric spaces and topology a lot of the time instead of just using the real numbers, which just makes it more of a pain in the ass notationally. I've also used Bartle and Sherbert's book. It's alright, but I don't really like its treatment of integration and limsup/liminf.

When you take does not matter. If you're nervous about it, then take it in October. This will give you the opportunity for a retake in November. Only a few applications are due before the December hear-back date for the November test, so no worries there. But ETS is annoying in that the sign-up date for November is a few days before the October test, so if you need it just in-case, you have to spend tons of money (and to get your October score before the November test, you have to spend an extra $12 or something getting the score early by phone). Anyway, the CS will be pretty much irrelevant both for the test and your applications' success. There may be one easy GRE question asking you to follow some algorithm they give you the pseudocode for. For applications, your CS stuff will just basically be an extra line on your resume unless it has significantly impacted your mathematical interests as indicated on your personal statement or your recs, etc. As for the content of the GRE, there will be a few questions on topology and complex analysis, but trying to rush through that stuff just for the test just isn't worth it IMO. The biggest worry I'd have is your missing real analysis. There are several questions that will be very difficult if you only know the computational stuff (calculus). There's just no way around not knowing analysis well. You'll need it for the GRE, for grad school courses, and you'll need it for the analysis qual obviously. Nevertheless, about half of the test is just speed Calculus, so the number one priority is being very comfortable with Calculus. There's no substitute for working lots of problems (TAing Calculus for two years helped me a lot). There will also be a couple questions on DEs, so focus on that in the fall. Some schools might expect you to have more courses under your belt, but if you can manage a competitive score on the GRE, then they might not hold that against you.

Not really sure what your question is, but there's absolutely no reason you should worry about the Math GRE not available to be taken until October (although maybe you should worry about preparing for it). You'll get your results back in November with plenty of time to spare. There's really no reason to try to finish your applications by October, as opposed to December/January. There's about no chance your recommenders will have their letters submitted by October anyway, and there's even less of a chance that the programs you apply to will start reading applications that early. You have plenty of time to work with; best not to squander it. If you're just getting into math recently, you probably don't have tons of classes under your belt, so that could be an issue. It may also make preparing for the Math GRE quite stressful.

Is there any reason to believe they'll actually send out the e-mails on Monday?

lol, I doubt there's enough stats to really be sure when to expect to get the e-mail... we don't have 30 pages of theories like the NSF thread did

Ah, thanks, guess I'm not quite as good at browsing as I thought I was.

It looks like 14-16 people got it in Math the past few years, so that's decent if there's only 200 awards. Of course, there are far fewer disciplines as compared to NSF. No idea how many people in math actually apply for NDSEG, as opposed to people in other disciplines, though.

Is there any indication of whether we'll hear early morning, late afternoon, or what?