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I am studying Apostol's book of Mathematical Analysis, and I am looking for problems. I have solved most of the problems in Apostol and most in Rudin, also from Folland. Can someone plese recommend any other book with decent problems? I know this question has been asked before. I need mostly proof problems. Any help or reference would be appreciated.

Thank in advance!

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    $\begingroup$ Problems and Theorems in Analysis and see also the second volume. $\endgroup$ – Artem Nov 6 '14 at 18:31
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    $\begingroup$ You may try G.N. Berman's A Problem Book in Mathematical Analysis. $\endgroup$ – user 170039 Nov 8 '14 at 5:26
  • $\begingroup$ I can't find that book anywhere $\endgroup$ – Marion Crane Nov 10 '14 at 4:51
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I like Richard Bass's Real Analysis for Graduate Students. Carother's book Real Analysis is pretty good too. They're both pretty advanced, but if you're already gone through Apostol, Rudin and Folland, I think you'll be able to handle them.

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E. Stein and R. Shakarchi's Princeton Lectures in Analysis have good selections of problems. Or rather, a good selection of what they call "Exercises," which are comparable to what you might find in other textbooks, and then a few of what they call "Problems," which are more involved than the standard sort of "Exercise."

Also, specifically for real analysis R. Wheeden and Antoni Zygmund's Measure and Integral has a large selection of exercises as well.

Edit: An important remark! Professor Wheeden is updating his book to a second edition. (Source: I'm a student at his institution.)

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  • $\begingroup$ Wheeden/Zygmund's book is outstanding and it's sad it's not available in a cheaper edition. $\endgroup$ – Mathemagician1234 Nov 22 '14 at 7:02
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There are several wonderful FREE online problem courses in various areas of mathematics by John Erdman of Portland State University available at his website here. 1

There are 5 courses in analysis written by Erdman at the site for his students-one on basic calculus, one at the advanced calculus level, one at the graduate analysis level,one on functional analysis and lastly,one on operator theory, the last 2 for advanced graduate students. These are extremely well written and comprehensive sources you will find a ton of great exercises in and that every student of mathematics should become familiar with.

And best of all,they're free! I think you'll find them very helpful.

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