Applied Mathematics vs. Pure Mathematics

I’m pretty sure applied mathematics is word problems and math that is used in the real world, whereas pure mathematics is just proofs with random numbers. Correct me if I’m wrong.

So the question: Is High School just pure mathematics? I’m only in 8th grade, and I’m wondering, as proofs with random numbers are my strong points, but when it’s involved in real world problems, I get nervous, and it’s pretty hard. Will this affect me?

Sorry if I come off as whiny or annoying. It’s just an honest question.

Pure mathematics is mostly abstract and for the sake of itself (not necessarily proofs) - for example, analysis, group theory, abstract algebra, number theory, topology. There are many interesting and unsolved problems in pure math, but they may not have real-world application, for example, the twin prime conjecture or the Riemann hypothesis.

Most HS math classes are generally less theory-based and more applied, since, you know, they are trying to prepare you for a variety of careers. But if you are interested in mathematics research, HS math doesn’t really do a good job at it, and I encourage you to read other sources (whether they do a good job on the applied side is debatable).

I don’t know what you mean by “proofs with random numbers.” If you study CS, you’ll want to use the word “random” a little more carefully. :slight_smile: