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Title: For Analysis Noobs
Review: I took an intro analysis course freshman fall, and I bought this book to flesh out some of the stuff I was reading in Rudin:Principles of Mathematical Analysis, Third EditionHonestly, no analysis course is complete without Rudin, but Rosenlicht's book serves as a good guide, and is written in much clearer prose. The problems are pretty good as well.Relevant concepts are covered in the following order:1. The real numbers and their properties2. Metric spaces, basic topology, open and closed sets3. Compactness (kind of a big deal, especially later on)4. Sequences and series5. Continuous functions6. DifferentiationThis, to me, is probably the best way to learn things. My favorite part is learning basic axioms about the real numbers and deriving calculus from that.
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