Real Analysis Textbook Recommendation

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Tonzzi
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Does anyone have a recommendation for a book(s) to use for the self-study of real analysis? I have just finished Apostol Calculus, Vol. 2 and would like to move on to real analysis. I am not sure whether I should continue following Apostol and move on to Apostol mathematical analysis or something else. I have been looking at other real analysis books such as Rudin, Pugh, and Abbott. I know that Rudin is the most used textbook, but I'm not sure it's suited for self-study. My current plan is to do Abbott and then move on to Rudin. Would this be a good course of action?
 
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Abbot is good for self study. Really helpful explanations.

But since you did Apostol. Do you mean solved the majority of the problems without looking them up online? Etc. if you did do this. Then I think you are ready for Rudin.