If you have taken some "intro to proofs" or "intro to abstract algebra" or "intro linear algebra" or any other such course where you've seen rigorous proofs, th

If you have taken some "intro to proofs" or "intro to abstract algebra" or "intro linear algebra" or any other such course where you've seen rigorous proofs, then Jay Cummings' "Real Analysis: A Long-Form Mathematics Textbook" [0] is simply a phenomenal introduction to real analysis. It's a fast paced tour de force through rigorous analysis. I actually wrote a longer comment, but I had to invoke the names of other authors. Better not. Either way, I love the book. [0] https://www.amazon.com/Real-Analysis-Long-Form-Mathematics-Textbook/dp/1724510126/ref=sr_1_1?s=books&ie=UTF8&qid=1542422962&sr=1-1&keywords=jay+cummings https://www.amazon.com/Real-Analysis-Long-Form-Mathematics-T...