I want to learn how to manipulate metric spaces. I have been reading this book about metric spaces.
However, the author notes that the reader needs a good understanding of abstract logic. The author gives a quick review of abstract logic and set theory which I have read several times. I have no prior experience in mathematical abstract logic
However, when I delve into Chapter 1, I have a hard time understanding the proofs. Should I continue trying to work at the proofs or perhaps I am too much of a beginner and should read a "prerequisite book" so to speak.