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I'm looking for a book to study metric spaces. Two years ago, I used a book written by Burkill. While using multiple topological concepts, I studied Munkres (chapters 2, 3, 4, 5, 6 & 9). I do not feel as comfortable in group theory, ring theory or general topology, so I feel that books such as those written by Hungerford, Robinson, and Atiyah and Mcdonald have been very important in my education. But I have not had that feeling with any book of analysis / metric spaces. I feel that my knowledge in this area is still very basic. What book would you recommend to study analysis?

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    See also: http://math.stackexchange.com/questions/471031/book-for-metric-spaces2015-08-12

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