I've been self-studying calculus and I got to say I really love it (part of the reason why I'm leaning toward theoretical physics). I fell in love with the way they state extremely powerful mathematical concepts through rationale and logic and just because I find it pretty darn cool. But do I have an overly romanticized view of mathematics? I've been seeing a lot of whining and complaining about higher level mathematics and that its proof based (true?). Anyhow, what is higher level mathematics really like?