Introduction to Real Analysis

This is a collection of lecture notes I’ve used several times in the two-semester senior/graduate-level real analysis course at the University of Louisville. They are an ongoing project and are often updated. They are here for the use of anyone interested in such material. In return, I only ask that you tell me of mistakes, make suggestions for improvements and, when sharing with others, please give me credit or blame.

I’m very interested in feedback of any type, so don’t be shy about contacting me!

Following are the chapters broken out into individual files. The advantage of these files is that when small updates are done, they show up here first. The disadvantage is they are not hyperlinked.

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