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Ars Mathematica Blog Details

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Ars Mathematica
http://www.arsmathematica.net/



Category:
Blog Directory » Science Blogs » Math

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4

Date added:
2006-03-30 21:51:18

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3,257,633

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Ars Mathematica Latest Posts

Topologically Non-Trivial Highway
The intersection of two interstate highways, I-95 and I-695 near Baltimore, is topologically non-trivial; it features a non-trivial braiding. Unfortunately, the interchange is scheduled to be redesigned. Via Low-Dimensional Topology. Read more...
Published a day ago

Clay Mathematics Institute Library
The Clay Mathematics Institute has placed their library of publications online. Their most high-profile publication (other than the Millennium Problems) is Morgan and Tian’s write-up of the proof of the Poincare Conjecture. They have an interesting article by Bernd Stermfels, Can Biology... Read more...
Published 5 days ago

Intute
A group of UK universities have put together a database of links to online resources in various academic subjects, called Intute. Their mathematics section is particularly impressive. (They’ve already linked to almost every online math book I can think of.) Read more...
Published 5 days ago

36th Carnival of Mathematics
Rigorous Trivialities is hosting the 36th Carnival of Mathematics. The blog also has a long running series expounding the basics of algebraic geometry. The latest post covers blowing up. Read more...
Published a week ago

Wanted: Theorem about Cocomplete Categories
I’m pretty sure that a certain theorem about cocomplete categories must be true, and I’m even pretty sure that I know how to write down a proof. (Famous last words, I know.) But I have the feeling that the result is already known, and I just haven’t seen it. I thought I would state the... Read more...
Published 2 weeks ago

Li’s Preprint
Yesterday, everyone was all atwitter over a new preprint by Xian-Jin Li containing a purported proof the Riemann Hypothesis. The optics of it looked good (Li is clearly not a crank), but Terry Tao has identified an apparent error. More at Not Even Wrong. Read more...
Published 2 weeks ago

Wells on Mathematical Language
Charles Wells, author (with Michael Barr) of Toposes, Triples, and Theories, now has a blog, gyre and gimble, devoted to how mathematicians use language. He notes that the idea of completed infinity, which mathematicians take for granted, is still not well-liked outside of mathematics. The tone... Read more...
Published 3 weeks ago

Nilpotent Infinitesimals II
This is a follow-up to this post. Nilpotent infinitesimals allow you to define objects like the “double point”, which is the solution set of x2 = 0 on the line. Intuitively, the double point is the point x = 0, plus another point infinitesimally close to it. We can mimic this in nonstandard... Read more...
Published 3 weeks ago

Complex Cobordism and the Stable Homotopy of Spheres
Doug Ravenal has made the latest version of his book Complex Cobordism and the Stable Homotopy of Spheres available online. Read more...
Published 3 weeks ago

Non-standard analysis in economics
I see, via Yet Another Sheep, that nonstandard analysis has spread to mathematical economics. Robert Anderson has a book manuscript available, Infinitesimal Methods in Mathematical Economics which explains how to apply nonstandard analysis to approximate economies with large numbers of agents.... Read more...
Published 4 weeks ago