hkfranz

Thanks for the responses! As per Atheist's comment, I think I'm a lot more interested in what you call "real" math - I already have enough applied math to deal with as an engineer. I've been studying discrete mathematics (used for signal processing and such) lately, and even that is a bit too "applied" for my recreational tastes. So I think I'll start looking into group theory (is this the same as set theory, of which I occasionally hear mention?) and maybe some topology. Also, lurflurf's suggestion of "algebra or calculus" intrigues me. What sort of things do more advanced levels of algebra and calculus cover? How are these different from the precalculus algebra and differential/integral calculus I've taken? Again, thanks!

Hi everyone. My name is Hans, and I'm new here. I'm an undergraduate student at the University of Michigan studying electrical engineering and performing arts technology. Throughout high school I was very interested in mathematics, but now that I'm in college and studying other things I don't have the time to take more advanced, formal mathematics courses. The last courses I took were in multivariable calculus and linear algebra. I'm still interested in continuing my study of math, though. So here's my question to the community: Where do I go from here? I'd like to get some books and continue to learn, but I'm not sure which areas of mathematics I'd be ready to tackle. Can anyone recommend to me any interesting fields? They should fit somewhat these requirements: - Understandable to someone who has taken courses through multivariable calculus and differential equations. - Interesting outside of a practical sense (i.e. NO statistics!). - Quality and quantity of available resources. I'm not ready to give up on math yet! Thanks!