Can anybody recommend a website or other type of resource which contains real Analysis-type questions and their solutions?

Question

In a recent post I asked about an epsilon delta proof for an Analysis question. Before posting it I searched for similar questions and their proofs on google but all I found were computational style problems. If anybody is aware of a good resource for problems and solutions of upper-undergraduate level real Analysis problems it would be greatly appreciated.

Background: I am an engineering student who is trying to teach myself real analysis.

Thanks in Advance,

Answer 1

• Interactive Real Analysis is both an on-line text and interactive site for learning real analysis.

Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus.... It deals with sets, sequences, series, continuity, differentiability, integrability (Riemann and Lebesgue), topology, power series, and more.

$\quad \quad \quad$ Interactive Real Analysis Overview

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• See also: Basic analysis: Real Analysis. If you scroll to the bottom of the webpage, there are a number of links to resources that appear to be promising.

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• Finally, and perhaps most promising: See Analysis: Resources for links to everything from lecture notes, videos, tutorials, and on-line texts.

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Recommendation: Buy W. Rudin's Principles of Mathematical Analysis!
It's worth the expense. At the very least, borrow the text from a library. Solutions and/or solution sketches are readily available by searching on-line, as the exercises in the text are classics. See this search of Math.SE posts using only "Rudin" as search term!

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Answer 2

The solution to virtually every problem of Rudin's PMA can be found online, so get yourself the book.