Amherst is VERY diverse. I believe one of the most diverse of the NESCACs, in all aspects except for political orientation, lol. Amherst is preppy, but not as much as Tufts. Classes here are very engaging and are challenging, but also very manageable. They were easier than I expected. We are not near any big cities, I think a couple hours away from both NYC and Boston. That being said, all you really need is very close and within walking distance. I think being in a college town makes college life more exciting, and the campus more like a close-knit community.
Both our mathematics and poly sci department are very good. I have taken classes in both departments, and have really enjoyed them.