I suggest you choose one of these two books, Calculus Course and Principles of Mathematical Analysis, written by Fichkingolz.

Calculus course contains detailed examples and detailed proofs. Don't be afraid, because this is a three-volume book. Principles of Mathematical Analysis written by Rudin is equivalent to a book for senior students. It's a very thin book with few examples, which is difficult to understand. It is the proof of theorems and inferences, unless you have studied mathematical analysis and then look back at the principle of mathematical analysis.