>>14303494>CS undergrads don't learn this math1) it depends, a lot of them learn it for summer internships in theory, or they take electives in the math dept. You grossly underestimate their ability
2) most math undergrads don't actually use what they learn and just end up buried in a book without doing much active research
in this regard, the CS student is much more likely to learn stuff that is outside what you'd consider their standard toolset because CS culture is much more focused on active publishing and interdisciplinary work.
>if you majored in math, you are actually in a better position to enter into this highly mathematical researchexcept this is the rub - you're not. research mathematics and research in general is not a game of knowledge -> results. It's about doing research level problems first and foremost and learning through experience. This is, if you go and sit down to any math or CS prof, the only way to learn how to do research. math and CS students are equal in this regard, especially because you only really exercise this once you do your PhD.
>as there is very little actual CS specific stuff to know that is taught to undergrads. whereas a CS undergrad has to go and learn all this shit on their own.Not even. again, it really depends on your school. I aint gonna tell you the CS department is 90% geniuses, because that's not true. Most of them aren't because they want a soft eng degree. But I know that there are enough CS students that their smarter subset matches about the same amount of people in the math department who actually want to do grad school and make a splash. So by proportion, there are a lot of bad CS majors, but by number, I actually think there's a bigger CS talent pool for people good at math than there are math majors.
If you actually got through a math major, you should really know that knowledge is trivial, and t comes down to experience, willingness to get out of the comfort zone, and a good advisor.