That's pretty much it ! 

You can. Anyone can. It's not impossible. The benefit of solving a problem and see the answer unfold in front of your eyes, the idea is amazing. You throw up your hands in joy that you could do it.

Since you're in the age of computer's almost nothing is analog. Every computational lab you go to, ever summer project you do,every LaTeX document you write, it's everywhere. You might as well see where you stand among your own institute. 

tl;dr Don't like reading? Scroll to the bottom to watch a video!