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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Professors often suggest some books. Having a look at one of those is a starting point. – Jun 03 '17 at 08:25
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1Use the search function on the site? – Juanito Jun 03 '17 at 08:39
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https://math.stackexchange.com/questions/2207632/book-recommendation-for-real-analysis?rq=1 – Juanito Jun 03 '17 at 08:39
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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. – DonAntonio Jun 03 '17 at 09:17
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1I'm studying mathematics at university – Anne Jun 05 '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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1Carothers and Pugh....they graduate from easy to hard and are diverse. Rudin has only hard problems of a specific kind. – CoffeeCCD Jun 03 '17 at 11:13
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I'm studying mathematics at university and I have to learn until integration. Does Chapman's book all this topics? – Anne Jun 05 '17 at 11:55
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@RonitDebnath I've found this:https://www.amazon.it/Real-Mathematical-Analysis-Charles-Pugh/dp/3319177702/ref=sr_1_1?ie=UTF8&qid=1496664061&sr=8-1&keywords=real+analysis+pugh#reviewBucketHeader is Pugh this? – Anne Jun 05 '17 at 12:04
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