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## Main Question or Discussion Point

Alright so I should start off by saying that I could be defined as the conventional "math whiz". That is, I have no problems at all doing complex algebra problems or complex and tedious integrals and derivatives where there is little concept involved. Let's just say that I've done really well on any Math class I've ever taken and I've taken some rather advanced stuff for a first year college student. But the thing is, I don't really feel that I've actually truly "learned" a lot of stuff I have studied, which is something that has been discomforting me lately, especially since I'm shooting for a math major. It would be really sad if at the end of my major all I know is how to reduce something complex including all kinds of notations, variables and constants into something simple without really knowing what I have done.

Furthermore, I've heard how hard a math major becomes for students who are good at solving for a number but when things like proof-writing start because they are no longer doing the kind of math they thought they were so good at.

So I would like to start "truly" learning what is all that stuff that I've been studying for some time now but I would like to do that without going over the baby steps students have to go through when they are learning these kinds of things for the first time (so I wouldn't wanna read a textbook). Any recommendations about what I should be doing to, what books to read or what sites etc I should be using would be extremely helpful. I am particularly interested in Calculus because I'm pretty confident about my conceptual understanding of the material learned before that.

So basically I need your help to guide me towards mathematical enlightenment.

Furthermore, I've heard how hard a math major becomes for students who are good at solving for a number but when things like proof-writing start because they are no longer doing the kind of math they thought they were so good at.

So I would like to start "truly" learning what is all that stuff that I've been studying for some time now but I would like to do that without going over the baby steps students have to go through when they are learning these kinds of things for the first time (so I wouldn't wanna read a textbook). Any recommendations about what I should be doing to, what books to read or what sites etc I should be using would be extremely helpful. I am particularly interested in Calculus because I'm pretty confident about my conceptual understanding of the material learned before that.

So basically I need your help to guide me towards mathematical enlightenment.