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Remarkable to read, especially having been through algebra and analysis courses in which we took similar and slightly different routes to build the same structures/concepts. Took some time to get used to the notation and terminology, but once I got it, it was a breeze to read.
If you haven't had any exposure to abstract math, this begins easy enough and the difficult parts can serve as a (remarkably lucid) demonstration to you of what abstract math entails.
If you have exposure to advanced math like a real analysis, you'll skip over broad swaths of this as elementary review.