[kkylin]

Absolutely agree with this comment. If you get beyond the title, what Gowers is talking about specifically is "If everyone were compelled to take 2 more years of mathematics, what should it be?" It is very different from what we would teach undergraduates getting engineering degrees; it would also be very different from what we would teach math majors. If we were to replace "mathematics" by, say, "programming," it would also not be surprising that one might come up with a list of topics differing from what we would want an aspiring computer scientist to know.

I did not find anything really surprising in the first part of Gowers's essay, but I thought the list of questions was great, independent of whether or not it is really appropriate for a required course.