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I read questions that were similar to mine but I didn't find an answer that was quite what I was looking for.

I want to learn all high school math from the ground up, but I want books that focus extremely heavily on proving every little thing rigorously. Specifically, the topics I would like to study are:

Algebra
Geometry
Trigonometry
Probability and statistics
Pre-calculus and calculus

Even though these topics are usually taught at high school, I'm looking for college level books, since I doubt high school books are as rigorous as I want them to be.

Thanks a lot!

EDIT: One of the ones I know about and am going to use is Euclid's Elements, so I am looking for other books like that

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closed as too broad by Adam Hughes, Claude Leibovici, R_D, HK Lee, Deepak Oct 6 '16 at 12:34

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.