I wanted to study about sequences of functions defined in metric spaces. What book/books do you recommend? Thanks!
2026-04-04 17:27:00.1775323620
Book recomendation for function sequences.
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Any good internediate level real analysis text will have this material. The traditional book is of course-ick-Rudin's Principles of Mathematical Analysis. You don't read Rudin,you do battle with it. A much more pleasant and informative book in my opinion at the same level is Charles Chapman Pugh's Real Mathematical Analysis-which I affectionately refer to as Rudin Done Right. As I've said elsewhere, Pugh has a real gift: He seems to know exactly how many words it takes to explain something- not one word more, not one word less. If you were my student and you came to me with that question, that's the book I'd recommend.