Which magazines should I read? Suppose you are a mathematics student who has just graduated and you haven't yet come to graduate school, or maybe you are in your first year of graduate school. Which magazines should you read? I mean general interest magazines, not journals of a specific field, but the kind of magazine that in each volume contain at least a couple of articles that every mathematician could understand (or reasonably try to understand) and be interested in. I don't even know how to describe exactly what I mean. That's why I am asking.
Please post one suggestion per answer.
 A: I would get a copy of the Princeton Companion to Mathematics and read two or three articles a month.  
A: I collected Kim Greene's answers into one, which unfortunately makes it look like the answer came from me.  (They are fine answers, just not mine.)  My own answer is that in Kim's list, only the Notices and the Intelligencer provide a good graduate/professional perspective on mathematics.  However, those two aside, the "magazines" that you read should also include the four best Internet resources for serious mathematics:  The arXiv, MathSciNet, Wikipedia, and now this site.  There are other fine math web sites out there, but as far as I know, nothing else is as important as these four.
A: I hear Mathematical Intelligencer is good but I have never read it.
A: College Mathematics Journal
A: I like to look in 'Bulletin of the AMS', 'Russian mathematical surveys', Asterisque, 'Inventiones Mathematicae'and 'Expositiones mathematicae' for articles to read. But mostly I browse the arxiv and homepages of mathematicians, seminars etc. 
A: American Mathematical Monthly
A: Since no one has mentioned it yet, I would like to add the Newsletter of the 
European Mathematical Society
This is convenient, being online and without subscription, and it has some interesting articles. For example, the last issue has an obituary of V.I. Arnold,
and interviews with Fields Medallists Elon Lindenstrauss, Ngo Bao Chau,
Stanislav Smirnov, and Cedric Villani.
A: Plus  is a math themed magazine.  I feel doubtful it would prepare you for graduate school in any way.
A: Mathematics Magazine
A: To add to the list, Nieuw Archief voor Wiskunde is mostly in Dutch, but has a fair number of nice articles in English.  They also have a problem section.
A: Students in applied mathematics should definitely make a point of joining SIAM (graduate students can join for free if their institution is a SIAM institutional member), and reading SIAM Review.  
A: Collected answers from Kim Greene and one from Gerald Edgar:


*

*I hear Mathematical Intelligencer is good but I have never read it.

*I have heard that reading things that you don't completely understand is good for mathematicians so I also recommend the Notices of the AMS.

*Plus  is a math themed magazine.  I feel doubtful it would prepare you for graduate school in any way.

*College Mathematics Journal 

*Mathematics Magazine

*American Mathematical Monthly
