I've just started reading a volume of books by Hung-Hsi Wu[0]. They are main audience is teachers of mathematics. Two other books that seem to offer a formal rigorous approach of teaching basic math are Principles of Mathematics by Carl Allendoerfer and Modern Algebra - A logical approach by Pearson, H. R and Allen, F. B
Needless to say, these books are focussed on High School math but should be sufficient preparation for courses on a more rigorous level.
My email is in my profile if you are looking for somebody to study with.
Needless to say, these books are focussed on High School math but should be sufficient preparation for courses on a more rigorous level.
My email is in my profile if you are looking for somebody to study with.
[0]https://math.berkeley.edu/~wu/