Where Should Lucas from Brazil Start for Advanced Math Studies?

[Lucas Moreira]

Hello people,

I'm Lucas, from Brazil, and I'm beginning my high school and in this forum. Well, I really enjoy math and I want to get deeper in my studies.

I read my entire school's book of math and I also had studied almost of KhanAcademy's math content. But I think this is so superficial and I want to go deeper and advanced.

So, where should I begin? And after?
I already know things like equations in 1st and 2nd degree, logarithm/exponential functions, trigonometry (and it's trig functions — or almost of all), absolute value. As I said, it's so basic.

I mainly want name of contents (like "Matrices" or "Permutation") but if you have an great book, website, "tutorial" or something else I'll appreciate it.

Thank you guys!
PS: sorry for my english!

 

[NattyBumppo]

You said you've studied most of Khan Academy's math content, but then you listed several concepts that fall into algebra and geometry--relatively low-level. If you've mastered algebra and geometry, you ought to go through Khan Academy's calculus courses, or perhaps linear algebra.

I also cannot recommend enough http://ocw.mit.edu/courses/ocw-scholar/, which is a set of full courses provided by MIT with full video lectures and PDFs of all of the written course material (including notes and tests). If you're interested in mathematics, you could attempt their calculus course, which is beautifully taught and relatively easy to follow for anyone who's studied algebra and trigonometry. Or branch out and try other courses, as well! They're great.

 

[Lucas Moreira]

Thanks a lot Natty! I'm sure that I'll take a look at Calculus.

Once again, thank you so much!