Top Site for Graduates

top_site_for_graduates

The AMS Graduate Student Blog has been ranked in the top 100 sites for Master’s and PhD candidates. The full list can be found on the Online Ph.D. Program’s blog. The sites are not listed in any particular order.

Thank you to our readers and editors for making this blog so successful and helpful to mathematics graduate students.

Please keep sending suggestions about how we can make the blog better.

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Collaboration Distance

People often like calculating their Erdos number. I recently found MathSciNet’s “Collaboration Distance” tool, and had some fun looking how far away I was from some of my friends.

http://www.ams.org/mathscinet/collaborationDistance.html

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Mission Counterexample!

An open ball inside the closed ball and isolated from its boundary.

Providing a counterexample can be the most challenging and frustrating exercise for me.  For example, one of my recent homework exercises was to give an example of a metric space where the closure of an open ball, B(x_0;r), could differ from the closed ball, bar{B}(x_0;r).  This is counter to naive intuition and experience: the closure of an open ball in mathbb{R} is the closed ball.  It was actually not difficult to find a solution to the above exercise – can you find one?  However, I am not content with finding one.  If I can find one counterexample, then there is likely to be plenty of counterexamples.

It is a source of pride for me if I can list two or three counterexamples when the exercise calls for only one.  Usually the constraint of time limits me to just one counterexample. Continue reading

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Is there a difference between “Education” and “Learning”?

“Education” and “learning” seem to be used as synonymous in many instances. One would hear phrases such as “Higher Education institutions” for universities and “Learning Centers” for places in those institutions where people supposedly are involved in acquiring some required knowledge, or one would hear sentences such as “You go to school to learn “ and “I teach them to learn mathematics.” If they are not used synonymously, one word often seems to involve the other. Nevertheless, as I go through their etymology, it appears to me that to settle on a clear distinction between them might not be a straightforward task.

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Stories for Mathematicians: The Mathematical Fiction Homepage

If you enjoy math, it’s a pretty fair bet that you’ve seen A Beautiful Mind, the Academy Award-winning film about the life of mathematician John Forbes Nash.  Perhaps you’ve even read Sylvia Nasar’s biography of Nash, on which the movie was loosely based.  But suppose you wanted to watch another movie inspired by math, or that you wanted to read a novel with mathematical themes.  How would you find one? Continue reading

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