This book is one of the most highly recommended math textbooks in the world. There is just one problem with it: where does this book fit into the sequence of learning math? Are you supposed to be able to learn this right after learning algebra/geometry/trigonometry? If so then doesn't this seem too rigorous for most students? Especially if you have never seen proofs before, it is not exactly a gentle introduction.

Are you supposed to read it after you have taken a more standard course on Calculus, and an introductory course on proofs? If so then why not just jump into a proper analysis textbook instead of this weird diluted version of it? I really do not understand who this book is aimed for.