(Self taught) code monkey and mathlet here.
I recently started learning math starting with the basics of Prealgebra.
There is no shortage of math book lists, but most seem like people just throw whatever on there. Others are pretty vague about it or appear overkill. Like "learn some geometry", like how much geometry do I really need?

Can you guys personally recommend some books for self study?
Are there any books that cover high school topics in a more rigorous manner?
From I gathered, Lang's Basic Mathematics seems to fit that description but I wonder whether there are alternatives.

In general I'm happy about any advice on what topics and books I should work on to build a nice base before going into undergraduate level Analysis and Linear Algebra.