Book recommendations from basic algebra to precalculus?

Solution 1:

I highly recommend A Course of Pure Mathematics by G. H. Hardy for when you feel you have re-acquainted with high school mathematics. This one is written for those ambitious first year university students who have no prior analysis exposure but have the zeal to learn the details which high school calculus exposure just omitted because it might hurt majority pupil's head and put them off mathematics for good.

Solution 2:

I think that Courant and Robbins What is Mathematics? is a very good introductory book yet. It is worth reading and I have spent some time on it before starting my undergraduate studies. The title is not reflecting the real content of the book.