agreed. i had it in mind the person was a math major. although i think topology is approachable without analysis with some dedication, it certainly helps provid

agreed. i had it in mind the person was a math major. although i think topology is approachable without analysis with some dedication, it certainly helps provide context for the abstraction. i listed another nice book in another comment, but metric spaces: iteration and application by victor bryant is a pretty fun introduction to metric spaces and analysis at a very approachable level.