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This question already has an answer here:

I've decided to learn real analysis for the first exam about this subject at university but I'm not sure about which book to buy.

Please, can you suggest a good reference book?

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marked as duplicate by Hans Lundmark, Chris Godsil, Rafa Budría, Strants, miracle173 Jun 11 '17 at 20:32

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  • $\begingroup$ Professors often suggest some books. Having a look at one of those is a starting point. $\endgroup$ – user228113 Jun 3 '17 at 8:25
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    $\begingroup$ Use the search function on the site? $\endgroup$ – Juanito Jun 3 '17 at 8:39
  • $\begingroup$ math.stackexchange.com/questions/2207632/… $\endgroup$ – Juanito Jun 3 '17 at 8:39
  • $\begingroup$ This can very greatly depend on what "first exam at university" you mean: what university, where, for what career...? The level of depth and covering in "real analysis" is very different for mathematics students, or for engineering ones, or for general sciences ones. $\endgroup$ – DonAntonio Jun 3 '17 at 9:17
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    $\begingroup$ I'm studying mathematics at university $\endgroup$ – Anne Jun 5 '17 at 11:49
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Real Analysis by Charles Chapman Pugh is very very good. It is way more intuitive than Rudin. Rudin is terse and very good if one can do it. Carothers is also a very good option.

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  • $\begingroup$ Which one has good practice problems ? $\endgroup$ – MeetR Jun 3 '17 at 11:10
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    $\begingroup$ Carothers and Pugh....they graduate from easy to hard and are diverse. Rudin has only hard problems of a specific kind. $\endgroup$ – CoffeeCCD Jun 3 '17 at 11:13
  • $\begingroup$ where can I get solutions of pugh ? $\endgroup$ – MeetR Jun 3 '17 at 11:54
  • $\begingroup$ I'm studying mathematics at university and I have to learn until integration. Does Chapman's book all this topics? $\endgroup$ – Anne Jun 5 '17 at 11:55
  • $\begingroup$ @RonitDebnath I've found this:amazon.it/Real-Mathematical-Analysis-Charles-Pugh/dp/3319177702/… is Pugh this? $\endgroup$ – Anne Jun 5 '17 at 12:04

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