Before the internet people who wanted to be mathematicians had to read books, so books were extremely important. I was reading Littlewood's "A Mathematician's Miscellany" where he gives the sequence of books he read before university (see pg.67 here: https://archive.org/stream/mathematiciansmi033496mbp#page/n77/mode/2up )
In that spirit, which sequence of books would you recommend to someone having only a high school background of math but who is willing to learn?
Also what do you think of the following sequence? :
Apostol's Calculus volumes
Rudin's Principles of Analysis
Axler's Linear Algebra Done Right
Marsden/Hoffman's Complex Analysis