Well, there is no shortage of very good and VERY SIMPLE and rigorous intros to analysis books out today: How to Think About Analysis by Lara Alcock. Understan

Well, there is no shortage of very good and VERY SIMPLE and rigorous intros to analysis books out today: How to Think About Analysis by Lara Alcock. Understanding Analysis by Stephen Abbot. Mathematical Analysis and Proof by David Stirling. Numbers and Functions: Steps into Analysis by Burn. Analysis: With an Introduction to Proof by Steven Lay. A First Course in Mathematical Analysis by David Brannan.