Are there any books in real analysis that explains what goes on in their proofs? I want to self study real analysis. I read through proofs in each of these real analysis books and I'm not understanding anything. (I'm using like 5 books at this point and they still aren't helping.) These books give me the same definitions and meanings but the proofs aren't exactly ticking. I would love if there was a textbook that can show like step by step proofs and why each line of logic works (if there is one). I know I'm supposed to struggle with real analysis but there's no real guide for me. Any pointers and books that meet these requirements? I'm looking for a good book with an intuitive explanation of analysis.
By the way just before we start a debate: It's not a repeated question because i went to this link and looked through all these books also and that wasn't very helpful. Source for those interested: Good book for self study of a First Course in Real Analysis Just for those curious, the five books I'm using are:
- Walter Rudin's book (This is like really difficult for me to understand).
- Patrick M Fitzpatrick (Advanced Calculus: A course in Mathematical Analysis)
- Kenneth Ross' book (Elementary Analysis)
- Stephen Abbott's book (Understanding Analysis)
- R. Battle's book (Introduction to Real Analysis)