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I am a learner of mathematics currently on undergraduate level, and this website (MSE) is very helpful also amazing to me. So this is my humble wish:

Could there be a list of selected educative questions from MSE to accompany a learner working through baby Rudin (or any famous undergraduate textbook)?

Thanks in advance for any comment or answer! Also sorry if this was asked before.

Edit1: After reading the first 2 answers....I find that I did not notice mustering volunteer "senior users" will be a problem. In Reddit r/AskDocs/ there are verified medical professionals voluntarily answer medical questions on internet! Also see my comments I believe such list will not be organized/edited by "senior users" to be only a solutions manual.

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    $\begingroup$ Who are "we", and what do you mean by "keeping a list"? Offline? $\endgroup$ – mrf Oct 9 '15 at 13:26
  • $\begingroup$ @mrf: If such list will possibly exist I believe (1) it's link may probably be put in the side bar and (2) it should be organized/edited by very senior users...Maybe I should rephrase this post now. $\endgroup$ – TCHuang Oct 9 '15 at 13:41
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  • $\begingroup$ @MartinSleziak: If such list will possibly exist I believe (3) it will not be organized/edited (by senior users) to be a solutions manual but help providing more complementary contents/exercises to the (usually terse) textbook. For example, baby Rudin constructed $\mathbb{R}$ by Dedekind cut and did not prove the uniqueness of the complete ordered field, hence I believe this MSE post math.stackexchange.com/q/11923/275935 will be a treasure to those want to learn more thoroughly. $\endgroup$ – TCHuang Oct 9 '15 at 16:57
  • $\begingroup$ @MartinSleziak: Also for example, there are three definitions of $\limsup$ from different famous textbooks (baby Rudin, Apostol, and Terence Tao's Analysis I), and I believe it would be great to see a post proving or giving hints to prove they are all equivalent. (BTW there is already a solutions manual for baby Rudin here minds.wisconsin.edu/handle/1793/67009 so there is no need to create another solutions manual in MSE.) $\endgroup$ – TCHuang Oct 9 '15 at 17:09
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    $\begingroup$ Since you wrote that you plan to read Rudin and also your posts on the main show that you are interested in calculus and analysis, I wanted to let you know about existence of Calculus and analysis room in chat. Admittedly, it was rather inactive so far. But the more people know about it, the bigger chance that this can change. $\endgroup$ – Martin Sleziak Oct 16 '15 at 3:14
  • $\begingroup$ @MartinSleziak: Thank you!! In this two semesters I am attending an undergraduate analysis class working through Marsden's Elementary Classical Analysis. I had found that Freenode's Math IRC channel is helpful for learning. I will try the chat rooms in MSE if further or similar help is needed. $\endgroup$ – TCHuang Oct 16 '15 at 9:59
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It is not among the core purposes of the site to provide such lists. I therefore oppose any effort to try and compose it within Mathematics.SE itself.

On the other hand, I can see the merit of having a resource composed of insightful Question/Answer pairs based on a commonly used mathematics textbook like baby Rudin.

Thus, provided you can muster a set of "senior users" actually willing to create and curate such a "list", I'd say there is potential for a blog with this theme. Such a blog might help expose Maths.SE as a useful repository of mathematical knowledge, aiding in its success.

But as said, part of the success of this site is in its focus: it's not, and never will be, a vehicle to teach entire areas of mathematics -- it's just a place where concrete mathematics questions are asked and answered.

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I like the idea; anything that brings more structure to the raging ocean of questions is a bonus. A while back I put together a list of frequent calculus questions and used it many times since for locating duplicates.

Some caveats:

  • It wouldn't be integrated with the site, you'll have to put it elsewhere (e.g., I used WordPress).
  • You'll have to do it yourself; don't expect there to be "very senior users" with nothing better to do.
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