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Hello.

I am going to be a freshman in high school, and I am a very advanced math student. My school goes at a pace that's

I want to learn more advanced math, and I need some recommendations for subjects and textbooks. I'm interested in pure mathematics, not applied. I'm interested in some higher level linear algebra textbooks and good modern algebra textbooks, but I would be glad to hear any recommendations you may have. Thank you for your help.

*Edited*

Since there appears to be some debate over whether I really know what I'm talking about, let me clarify: I

Basic set theory, functions, binary operations, relations, basic finite group theory, permutation groups, abelian groups, and a little bit of field theory. I also know vectors in R

I am going to be a freshman in high school, and I am a very advanced math student. My school goes at a pace that's

*way*too slow for me, so I decided I would teach myself some mathematics. So far, I've got basic linear algebra, and even basic-er modern algebra, and I'm working on calculus. (I've done all the prerequisites of course.) So, what I want to know is, what comes next?I want to learn more advanced math, and I need some recommendations for subjects and textbooks. I'm interested in pure mathematics, not applied. I'm interested in some higher level linear algebra textbooks and good modern algebra textbooks, but I would be glad to hear any recommendations you may have. Thank you for your help.

*Edited*

Since there appears to be some debate over whether I really know what I'm talking about, let me clarify: I

*do*know the distinction between basic algebra and linear/modern algebra. I*am*thirteen, but I will be fourteen very soon. (My birthday is May 20th) Here is a list of some of the stuff I know:Basic set theory, functions, binary operations, relations, basic finite group theory, permutation groups, abelian groups, and a little bit of field theory. I also know vectors in R

*n*, vector algebra, matrices and determinents, and some linear transformations. Thanks for your help!
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