I’m glad to see that finally someone is putting mathematics to some good use. I present to you The social norm of leaving the toilet seat down: A game theoretic analysis. (Via Crooked Timber.)
Author Archives: Walt
New ArXiv Numbering Scheme
ArXiv has announced a new numbering scheme for preprints. Instead of yymmnnn, they will now use yymm.nnnn. In a time of dizzying change, arXiv has taken from us one of the few constancies we had. Won’t they think of the children?
Math Stranger than Fiction
I just saw the movie Stranger than Fiction, and I noticed a strange pattern in the last names of characters: Pascal, Hilbert, Escher, Cayley, Mittag-Leffler. Also, the main character’s favorite word is “integerâ€. The main character has a penchant for counting, but other than that the movie is as far removed from mathematics as can be imagined, so it’s all very mysterious.
Antikythera mechanism
From Asymptotia, I just learned about the Antikythera mechanism, an ancient Greek analog computer. Its full capabilities are not yet known, but the device’s thirty interlocking gears simulate the movements of the Sun, Moon, and Earth well-enough to predict eclipses. Not much is known about the history of the mechanism, which uses technology that was not reinvented until the fourteenth century.
December Notices
The December Notices of the AMS are out. The two features articles are:
- The Search for Symmetric Simple Venn Diagrams considers Venn diagrams as mathematical objects in their own right, rather than just as a graphical representation of sets.
- Better Ways to Cut a Cake discusses the game theory of cake cutting.
This month’s What is a… Quasiconformal Mapping introduces a generalization of conformal mappings that makes sense in general metric spaces.
The Illusory Unity
I will be out of town for a few days for Thanksgiving, so there won’t be any posts from me for the next few days.
Mathematical textbooks take pains to make their subject appear to form a unified whole. Is any such unity an illusion? Discuss.
Chris Hillman
Chris Hillman, creator of Entropy on the World Wide Web and Relativity on the World Wide Web, will be joining us as a poster on Ars Mathematica.
Discover’s 25 Greatest Science Books
Discover Magazine has published a list of the 25 greatest science books. The list is almost exclusively either original works of research (such as Darwin’s The Voyage of the Beagle and The Origin of Species, the top 2 books), or popularizations of that research by experts in the field (such as The Double Helix by James Watson).
Kalman Filter
A friend of mine who’s studying econometrics asked me about the Kalman filter, which is used in estimating the parameters of a time series model. I didn’t know anything about the subject, so I was poking around online, where I discovered that the Kalman filter is rocket science: it was invented to estimate the current position and trajectory of the Apollo spacecraft. And here I thought the only concrete result of the space program was Tang.
Borovik’s New Book
Alexandre Borovik, who occasionally comments here, has begun uploading draft chapters of his new book, Mathematics under the Microscope: Notes on Cognitive Aspects of Mathematical Practice, here. The first three chapters are already available.
Via David Corfield.