opkfoundry.blogg.se - Spherical geometry khan academy

– You should be acquainted with some set theory. The quadratic formula is definitely a must. – You should be acquainted with solving polynomial equations. Armstrong “Groups and Symmetry” offers a more geometric approach A high schooler should most definitely be able to handle this book (but it won’t be easy). A great book is Pinter’s “A book of Abstract Algebra”“.

you can easily skip them without any harm). Maybe some of the examples or exercises use these notions, but not in a very profound way (i.e. The good news is that this doesn’t require any calculus or trigonometry at all.

4) Affine, projective, spherical, and hyperbolic geometry.

There are plenty of more possibilities though. So what are some of the things you could do? Let me give some examples. Also, competitions are not really university mathematics. So yes, it is definitely possible to be successful in mathematics and not like/not do well in competitions. I personally never was, and I failed every single competition badly. They can be great fun if you’re into this kind of stuff. You should probably also seriously look into mathematics competitions. Do not think that being able to do university mathematics somehow enables you to skip high school math. You need to master them or you will get in trouble.

But those skills are actually very important. I get it, factorizing 50 polynomials for homework, is pretty boring. However, there are plenty of options still available to you.ĭo not neglect your high school courses though.

The good news is that you don’t have to wait until university to see exciting mathematics, you can learn it right now! Of course, plenty of math will require quite heavy prerequisites like three calculus courses, so it’s not like you can do everything. Or maybe those high school students who want to have a taste of what university math is like. This insight is written for high school students who don’t feel very challenged by their high school courses.