Surprisingly this precise question doesn't seem to have been asked somehow but please correct me if I'm wrong.

I'm looking for a rigorous introduction to special relativity. I have fairly limited physics background, just the two introductory physics courses I took for as part of my degree, but I have a lot of math background and practice working with rigorous mathematics. I've only learned a bit of differential geometry though self study so I'm not really looking to jump straight into general relativity (for which great answers to this question already exist). My understanding of the math involved in special relativity is that its exceedingly basic in comparison, more on the level of Newtonian mechanics with some twists than anything. Still I've found most introductions to Newtonian mechanics incredibly lacking in the rigour department and rather hard for me to understand (not analytical mechanics, I find that more rigorous typically). I'd like to avoid such references for studying special relativity.

Is there a treatment of special relativity that rigorously defines the systems it considers and doesn't throw punches on the math or hide mathematical details for special relativity?