Reference Request for Real Analysis/Proofwriting

Question

I'm looking to learn real analysis however I'm unsure of where to start having little proof background. I would also be interested if someone could point out the more/most important areas/topics in real analysis so I know where to focus my time.

When I say most important, I mean the topics that are absolutely necessary for higher level progression to areas like functional analysis and topology.

Perhaps you should consider starting by reading some texts on solving proofs, if you don't have that robust a proof background. Here's a good thread to get you started:
https://math.stackexchange.com/questions/655443/what-are-some-good-introductory-books-on-mathematical-proofs — scoopfaze, Nov 16 '22 at 00:32
almost any book of mathematics is a good reference to see how to make or write proofs. My recommendation is to start from the book Understanding Analysis of Abbott — Masacroso, Nov 16 '22 at 01:00

score 0 · Accepted Answer · answered Nov 17 '22 at 04:57

For proof writing, here is a list of free, open-access book that handles how to do introductory proof-writing of many different calibers (many of these books are from the Open-Textbook initiative):

Here is a list of free, open-access books for Real Analysis:

Reference Request for Real Analysis/Proofwriting

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