Good foundational mathematical basics.

[E01]

I'm trying to get get a good base for learning further mathematics. Would an intro abstract algebra, analysis, and category theory text be good places to start? There are so many different places you could start and I'd like to first learn about those areas of math which help most when learning new areas.

 

[ThePerfectHacker]

I'm trying to get get a good base for learning further mathematics. Would an intro abstract algebra, analysis, and category theory text be good places to start? There are so many different places you could start and I'd like to first learn about those areas of math which help most when learning new areas.

I think what you want first is a "transition course". It is a book that starts you on the path of real mathematics. When I taught a transition course, the book we used was THIS. I thought it was good.

It contains a little bit of algebra and analysis in the end.