I'm a 25 years old guy and I wanna learn math. I haven't had a good relationship with them until now. My background is that I know how to add, subtract and multiply. In theory I also know how to divide, but some times I'm messing it up or get stuck with what the next step is supposed to be. I blame calculators for that. I know how to solve basic equation and I used to know how to solve quadratic equations too, but last time I solved one was 7 years ago. I'm rumbling, I know. Basically I'm trying to say is that I don't know what I know about math, but I could say that I'm at a very basic level.
I want to learn math because about a year ago, I was watching the Linear Algebra lectures from MIT on YouTube. It was amazing! I could feel my mind working to its limits to understand all this new information! I was feeling challenged for the first time in my life and my brain working at 110% capacity to cope. But I tried to learn too much too quickly (because linear algebra was a prerequisite for a course in coursera, about to start in one week) and I failed.
Now I want to start from the beginning and take this slowly step by step. But I also would like a challenge. For example I would like to tackle proofs of theorems without learning them. Just something (a lecture, a book..) giving me the tools to prove something and then make me discover it, following the steps of those who first discovered the theorem. I want to exercise my creativity, my abstract thought and my problem solving. I want to feel my mind expanding!
Where do I start? What books or online material would you advice me to read(or watch)? Please make sure that you give me a list for the next years, so I don't have to come back here and ask the same question once I'm done with the basics.. And how much time would you say I have to give to studying? I'm working and I'm trying to write a novel, so I don't think I can study for let's say 5 hours per day, every day.
Well that's it! I know it was not the best worded question in the world, but I hope it is sufficient to give you all the data you need to put me in the right road.