I would like to get a better/broader understanding of mathematics. I got a M.Sc in Engineering and while math was never my strongest subject, I have studied, and can apply, fields like linear algebra, calculus, complex analysis, differential equations, boolean logic etc. My issue is that math, for math’s sake, never really interested me. I have always approached math as a tool to be applied to “real” problems.
I have decided to give math another try but i’m not quite sure where to start. My final “destination” i expect, will be many of the subjects i already known how to use and apply, but hopefully with a much better understanding of why things are like they are. I think i would like to start from the basics like set theory and number theory and work my way up from there. Maybe in a historical/chronological context where it makes sense. Is this the way to go or would i be better off with another approach?
Is this even possible as a self study in my free time? Where do i start? Any recommendations on books or websites that will help me?