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Some time ago the journal "Algebra and Analysis" (English translation is published in "St. Petersburg Mathematical Journal") had a special section which was called "easy readings for professional mathematicians", which tried to present in accessible and interesting way some ideas. It seems now this section is discontienued unfortunately.

So my question is the following: are there some journals which publish "easy readings" ? Or may be there are some collections somewhere else on web ?

PS May be some recommendations for concrete "easy reading" papers are also valuable.

PSPS As a kind of bigger and vaguer ingredient of the question, let me add the following: do you feel some over-reprsentation of some hard-to-read papers over some beautiful and short papers ? If mathematics is "mainly about follow-ups" it seems it makes progress more difficult, can something be changed or nothing ? One of reasons is probably the gap between "thinking and explaining", however as Gil Kalai answered he does not feel much gap, in part due to "Part of the reasons is being involved in semi-formal Internet acticities like blogs, polymath projects, MO, etc., ", this I think gives some hope that giving a bigger weight to user-friendly ways of communication may improve readability of papers...

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Not quite a duplicate, but similar to this earlier question: mathoverflow.net/questions/15366/… –  Mark Meckes Jun 13 '12 at 10:46
    
@Mark thanks for reference, however seems to me many "expository" papers, are quite far from "easy readings"... –  Alexander Chervov Jun 13 '12 at 11:07
    
This List of Elementary Mathematics Journals at the MathPro Press webpages is at the low end of what you want. Not all their links are currently valid, however. For example, here's a correct link to The Pentagon. –  Dave L Renfro Jun 13 '12 at 14:52
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I think that certain blog posts would fit your description of text well. A nice overview of math blogs is to be found here mathblogging.org ; in particular check the 'weekly picks'. –  quid Jun 13 '12 at 16:16
    
@Quid, Dave thanks for comments I did not know this, these sites are very interesting. @Dave To somewhat clarify the question "easy" I did not mean "elementary" - I mean should be easy for some prof. mathematicians - can be those having PhD , or may be even more specialized in certain area... –  Alexander Chervov Jun 19 '12 at 6:44
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3 Answers

There are (at least) two journals which aim to publish that kind of papers: "L'Enseignement Mathématique" (http://www.unige.ch/math/EnsMath/) and "Expositiones Mathematicae" (http://www.elsevier.com/journals/expositiones-mathematicae/0723-0869)

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I am surprised that no one has mentioned the expository articles in the Bulletin of the AMS, which are usually excellent.

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They are indeed usually excellent, but not always "easy reading" IMO. –  Todd Trimble Dec 4 '12 at 15:14
    
Agreed, Todd, and I'd say something similar about the "What is...?" feature in the Notices. It's a fantastic idea, and sometimes the articles are very good, but too often they assume too much specialist knowledge on the part of the reader. –  Tom Leinster Dec 4 '12 at 18:23
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One enjoyable math article I read recently was Erica Klarreich's exposition of the virtual fibering conjecture. I would highly recommend this and other articles at this link to the Simons Foundation website. They use great diagrams and good analogies without shying away from difficult subjects.

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