So I just wanted to hear about other people's experiences with undergraduate (and introductory graduate) analysis textbooks. There are the standards and some new great texts as well. Which are your favorite? Recommendations?(adsbygoogle = window.adsbygoogle || []).push({});

Kenneth Ross: The theory of Calculus, Elementary Analysis. Very readable text and some difficult problems (nothing craze though). All in all great for the first analysis class.

Rudin: I'm using this for review. It's very comprehensive, but can be difficult for someone who hasn't read or done hardened mathematics before. Problems are fantastic methinks. Even some treatment of the Lebesgue theory as well!

Real Mathematical Analysis, Pugh - I haven't read through a lot of this one, just a few sections (Cantor Lore is fantastic). Although I have to say I don't like the way he writes math. The selection of problems is golden.

Royden: Probably my favorite analysis textbook. Good problems and bridges the gap from undergraduate to graduate analysis well whereas the 2nd Rudin doesn't so much.

Because I live in third world countries I have purchased most of these for next to nothing: Pugh is the only unavailable in a soft print here in Delhi, the rest cost less than 5 dollars a piece. I even got munkres for that price! To think that some are forced to shell out 130 odd US dollars on a textbook smaller than a novel is NUTTY. The classics are all available online via bittorent for free though (this is VERY illegal but hey so is that mp3 ur listening to).

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# Textbooks for Real Analysis

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