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I really like "Math Horizons" (see here). MAA desctibes it as ...a vibrant and accessible forum for practitioners, students, educators, and enthusiasts of mathematics, dedicated to exploring the folklore, characters, and current happenings in mathematical culture. And I have to agree; the articles are quite interesting and most of them can be ...


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I recommend a survey of math and its language, which are both offered by the The Princeton Companion to Mathematics.


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Some individuals have successfully taken both examinations in the same administration period (the evidence of which is available in historical records of the pass lists). I seem to recall that there might even be a few rare individuals who have taken three or more examinations at a time, and passed. The broader issue, aside from being adequately prepared ...


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Sure, you can pass the exams, but not without studying the very specific material that they cover. You have to know the material well enough to do the problems very quickly, all while fumbling with a very basic calculator. I took both exams. I studied for one night and passed exam P, but this should be weighed against the fact that two years prior to this I ...


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I learned general topology exactly in this way, and basically I'm a topologist now! I remember that I never needed to check if the solutions were correct because most of those exercises were straightforward. My advice is: try to correct your solutions by yourself. Just write down extensive solutions of your problems, and double check each step asking to ...


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You can find solutions of most of them in the following link: http://dbfin.com/topology/munkres/


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I highly recommend "Transition to Higher Mathematics" by Dumas and McCarthy. http://www.amazon.com/Transition-Higher-Mathematics-Structure-Advanced/dp/007353353X Here is a link to a pdf of it as well http://www.math.wustl.edu/~mccarthy/SandP2.pdf This is the textbook for a math course at Columbia University called Introduction to Higher Mathematics. The ...



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