The Free Will Theorem - "If there exist experimenters with (some) free will, then elementary particles also have (some) free will." (previously)
posted by kliuless on Jun 28, 2009 - 229 comments

The Cornell Historical Math Monographs archive has a great many famous papers, including works by De Morgan, Hamilton, Descartes (warning: French) and of course Lewis Carroll. [more inside]
posted by DU on Jun 15, 2009 - 7 comments

Douglas Hofstadter's Gödel, Escher, Bach: An Eternal Golden Braid has been recorded as a series of video lectures for MIT's Open Courseware project.
posted by loquacious on May 30, 2009 - 74 comments

Happy Odd Day! [more inside]
posted by Potomac Avenue on May 7, 2009 - 42 comments

Theory versus Statistics, Financial Economics Edition. "You can almost here the lament of this quant that the real math theory has been dead since 1980, and that it has all been applied and statistics ever since. It’s like Fischer Black was Kool Herc and Myron Scholes was Afrika Bambaataa, and they’d all go plug in their computers into lamp posts and do martingale representations in the streets and at house parties. And, of course, it was all ruined in 1979 when it went commercial." A response to The Last Temptation of Risk by Barry Eichengreen.
posted by chunking express on May 4, 2009 - 8 comments

Stephen Wolfram discusses Wolfram|Alpha: Computational Knowledge Engine - at the same time Google Adds Search to Public Data, viz: "Nobody really paid attention to the two hour snorecast" -- like a cross between designing for big data and a glossary of game theory terms -- on Wolfram|Alpha (previously), yet the veil is being lifted nonetheless: "[on] a platonic search engine, unearthing eternal truths that may never have been written down before," cf. hunch & cyc (and in other startup news...) [via] [more inside]
posted by kliuless on May 1, 2009 - 29 comments

Following the recent uproar over Texas and the possibility of its secession (previously), Fivethirtyeight.com puts forward a theoretical division of Texas into five states: Plainland, Trinity, Gulfland, New Texas, and El Norte.
posted by aerotive on Apr 24, 2009 - 52 comments

"the scale-free network modeing paradigm is largely inconsistent with the engineered nature of the Internet..." For a decade it's been conventional wisdom that the Internet has a scale-free topology, in which the number of links emanating from a site obeys a power law. In other words, the Internet has a long tail; compared with a completely random network, its structure is dominated by a few very highly connected nodes, while the rest of the web consists of a gigantic list of sites attached to hardly anything. Among its other effects, this makes the web highly vulnerable to epidemics. The power law on the internet has inspired a vast array of research by computer scientists, mathematicians, and engineers. According to an article in this month's Notices of the American Math Society, it's all wrong. How could so many scientists make this kind of mistake? Statistician Cosma Shalizi explains how people see power laws when they aren't there: "Abusing linear regression makes the baby Gauss cry."
posted by escabeche on Apr 23, 2009 - 30 comments

MathTV is a real problem solver for many. It is also found on YouTube, and is free. Here is some background.
posted by Brian B. on Mar 21, 2009 - 8 comments

Dolphins at SeaWorld Orlando make and play with bubble rings. Others learn by watching. (SLYP) via [more inside]
posted by Toekneesan on Mar 18, 2009 - 17 comments

Ever wondered what comes next, and why? The On-Line Encyclopedia of Integer Sequences has the answers. (Previously.)
posted by parudox on Mar 10, 2009 - 33 comments

The MacTutor History of Mathematics archive is an astounding collection of historical material on mathematics, especially biographies. (Previously: 1 2 3 4.)
posted by parudox on Feb 28, 2009 - 5 comments

"Do you like fiction and mathematics? Are you interested in what our society thinks about mathematicians?" [more inside]
posted by Minus215Cee on Feb 27, 2009 - 15 comments

Somewhere between 538 and xkcd, Ask Doctor Math is an advice column for practical math questions. [more inside]
posted by piers on Feb 16, 2009 - 25 comments

Sal Khan likes explaining things, and he's really good at it. Here he is on CNN giving an excellent explanation of the financial crisis. And here's a great explanation of Newton's Law of Gravitation. His YouTube channel has over 700 lectures and you leave understanding everything he talks about no matter the subject.
posted by y10k on Jan 31, 2009 - 21 comments

The sestina is an old poetic form invented by the troubadors; each of the thirty-nine lines ends with one of only six words, which gives the sestina a haunting, constricted feel. You might have read modern examples by Bishop or Auden, or the even more modern "WTF Sestina" by Meghann Marco. But you have probably never read a sestina which explains how to construct a sestina in the language of finite group theory. (.pdf link) Via excellent mathblog God Plays Dice.
posted by escabeche on Jan 20, 2009 - 24 comments

Division: Work it out! - these girls be spittin the math.
posted by madamjujujive on Jan 17, 2009 - 40 comments

Brain reorganizes to make room for math. But does math easily lead to truth? Is it really just beauty?
posted by twoleftfeet on Nov 23, 2008 - 31 comments

"...the best place to hide bulls**t is in a refereed journal that’s not open-access!" The math-physics blog n-category cafe digs into the curious case of M.S. El Naschie. El Naschie is editor-in-chief of the journal Chaos, Solitons, and Fractals, published by the well-respected scientific publisher Elsevier and sold to academic libraries for US$4,520 a year. The problem? El Naschie has published 322 of his own papers in the journal -- papers that John Baez (of "This Week's Finds in Mathematical Physics" and "The Crackpot Index") describes as "vague, dreamlike imagery," "undisciplined numerology larded with impressive buzzwords," and "total baloney." Is El Naschie a reverse Sokal? Or a Markov process for producing random publishable papers? One thing's for sure -- he knows how to cure cancer.
posted by escabeche on Nov 12, 2008 - 49 comments

A math professor was explaining a particularly complicated calculus concept to his class when a frustrated pre-med student interrupts him. "Why do we have to learn this stuff?" the pre-med blurts out. The professor pauses, and answers matter-of-factly: "Because math saves lives." "How?" demanded the student. "How on Earth does calculus save lives?" "Because," replied the professor, "it keeps certain people out of medical school."
posted by cthuljew on Nov 9, 2008 - 82 comments

"Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Although mathematics will help you arrive at elegant and efficient methods, the use of a computer and programming skills will be required to solve most problems."

Started in 2001 as a sub-section of Maths Challenge, it has since grown large enough to become its own entity. It now boasts over 200 problems, many of them insanely difficult. [more inside]
posted by mystyk on Oct 13, 2008 - 31 comments

The Mathemagician and Pied Puzzler (PDF, rough table of contents here) is a collection of puzzles created by members of the Gathering 4 Gardner Foundation, in tribute to the man himself (previously). Also freely available at the G4G site is Puzzle Craft (PDF), by Stewart Coffin. (The Puzzling World of Polyhedral Dissections, also by Coffin, is available here.)
posted by cog_nate on Oct 1, 2008 - 9 comments

Quest for a true 3D Mandelbrot Fractal - a very nice exploration of Mandelbrot/Julia set fractals in various kinds of 3D space.
posted by loquacious on Sep 14, 2008 - 21 comments

Math Education: An Inconvenient Truth. How children learn (or: don't learn) math today. [more inside]
posted by davar on Sep 6, 2008 - 130 comments

   MEFI
   META
+ ASKME
-------
 FILTER

Who is Alexander Grothendieck? [PDF] This lecture is concerned not with Grothendieck's mathematics but with his very unusual life on the fringes of human society. In particular, there is, on the one hand, the question of why at the age of forty-two Grothendieck first of all resigned his professorship at the Institut des Hautes Etudes Scientifiques (IHES); then withdrew from mathematics completely; and finally broke off all connections to his colleagues, students, acquaintances, friends, as well as his own family, to live as a hermit in an unknown place. On the other hand, one would like to know what has occupied this restless and creative spirit since his withdrawal from mathematics.
posted by Wolfdog on Aug 17, 2008 - 31 comments

How deep does the rabbit hole go? The Ultimate Fractal Video Project features animated zooms into the famous Mandelbrot Set. Some zoom in so far that, by the end of the dive, the first frame you had viewed would be as large as (or larger than) the known universe. | The animations are offered as .zip'd WMV files; lower-quality versions are viewable on FractAlkemist's YouTube page. [more inside]
posted by not_on_display on Jul 29, 2008 - 13 comments

No gender differences found in math performance. None. Not on average, at least in countries where the sexes are treated equally. And no, not at the highest, outlier levels of mathematical ability, either, despite what some believe. And not in number of undergrad math degrees earned. And not in terms of complex problem solving ability. Just plain not.
posted by kyrademon on Jul 24, 2008 - 103 comments

This week in mathematical physics, John Baez looks at the amazing tile patterns in the Alhambra in Granada, dividing the patterns into their characteristic Wallpaper Groups based on their symmetries. And if these patterns aren't good enough for you, try drawing your own with the Escher Web Sketch tool. [more inside]
posted by kiltedtaco on Jul 24, 2008 - 20 comments

Correlative Analytics -- or as O'Reilly might term the Social Graph -- sort of mirrors the debate on 'brute force' algorithmic proofs (that are "true for no reason," cf.) in which "computers can extract patterns in this ocean of data that no human could ever possibly detect. These patterns are correlations. They may or may not be causative, but we can learn new things. Therefore they accomplish what science does, although not in the traditional manner... In this part of science, we may get answers that work, but which we don't understand. Is this partial understanding? Or a different kind of understanding?" Of course, say some in the scientific community: hogwash; it's just a fabrication of scientifically/statistically illiterate pundits, like whilst new techniques in data analysis are being developed to help keep ahead of the deluge...
posted by kliuless on Jul 21, 2008 - 40 comments

A discovery leads to questions about whether the odds of people sharing genetic profiles are sometimes higher than portrayed. Calling the finding meaningless, the FBI has sought to block such inquiry.
posted by finite on Jul 20, 2008 - 30 comments

EducationFilter: California becomes the first state to mandate all 8th graders take Algebra; in part because U.S. students constantly trail their peers from other nations in mathematics. At least one person thinks it's a bad idea ("If only 25 percent of this nation ever earns a college degree, why insist that all children take algebra in eighth grade?"). Here's the algebra curriculum 8th graders will have to learn. [more inside]
posted by jabberjaw on Jul 10, 2008 - 124 comments

Whether you want to learn to lace shoes, tie shoelaces, stop shoelaces from coming undone, calculate shoelace lengths or even repair aglets, Ian's Shoelace Site has the answer!
posted by Blazecock Pileon on Jun 27, 2008 - 22 comments

A new crop circle formation in Wiltshire depicts the first 10 digits of pi. [more inside]
posted by casarkos on Jun 20, 2008 - 96 comments

Friday Flash Java Fun - 'Building Houses With Side Views' Entertaining Java game/exercise/doodad. [more inside]
posted by le morte de bea arthur on Jun 13, 2008 - 31 comments

Smart Shorties is a new CD being marketed to teachers that takes the beats from popular rap songs and rewrites them to the multiplication tables, with the intent of improving kids' math skills. Forbes has a nice roundup on it's history, and NPR has done a featurette on it as well At the very least, it's certainly worth a listen for the chuckle potential, but in addition to that, it's an interesting example of the now-booming Edutainment industry, something that not only spans CD's, but also computer games and even standalone video game consoles.

also, Smart Shorties is certainly not the only "Hip-hop in the classroom" product out there, nor is it the first.
posted by The Esteemed Doctor Bunsen Honeydew on Jun 8, 2008 - 37 comments

Exercising your brain makes you smarter, and there is no better gym for it than the MentatWiki. [more inside]
posted by splice on May 17, 2008 - 16 comments

On May 13, security advisories published by Debian and Ubuntu revealed that, for over a year, their OpenSSL libraries have had a major flaw in their CSPRNG, which is used by key generation functions in many widely-used applications, which caused the "random" numbers produced to be extremely predictable. [lolcat summary] [more inside]
posted by finite on May 16, 2008 - 81 comments

A new study in Science claims that teaching math is better done by teaching the abstract concepts rather than using concrete examples. From an article by the study authors in Science Mag (requires subscription): If a goal of teaching mathematics is to produce knowledge that students can apply to multiple situations, then presenting mathematical concepts through generic instantiations, such as traditional symbolic notation, may be more effective than a series of "good examples." This is not to say that educational design should not incorporate contextualized examples. What we are suggesting is that grounding mathematics deeply in concrete contexts can potentially limit its applicability. Students might be better able to generalize mathematical concepts to various situations if the concepts have been introduced with the use of generic instantiations.
posted by peacheater on Apr 26, 2008 - 27 comments

“…if I had to design a mechanism for the express purpose of destroying a child’s natural curiosity and love of pattern-making, I couldn’t possibly do as good a job as is currently being done — I simply wouldn’t have the imagination to come up with the kind of senseless, soul-crushing ideas that constitute contemporary mathematics education.” [more inside]
posted by blasdelf on Apr 10, 2008 - 80 comments

The Monty Hall Problem has struck again, and this time it’s not merely embarrassing mathematicians. If the calculations of a Yale economist are correct, there’s a sneaky logical fallacy in some of the most famous experiments in psychology." The NY Times' John Tierney reports on new research into cognitive dissonance as examined through the famous Monty Hall Problem. [A previous MetaFilter thread about the Monty Hall Problem: Let's Make A Deal!]
posted by amyms on Apr 8, 2008 - 119 comments

"Once you've constructed your Hexapawn opponent, it's time to start playing against it... If you play this game repeatedly ... you'll quickly notice that your matchbox opponent plays better and better until it is unbeatable!" Martin Gardner created a game called Hexapawn, and also devised an artificially intelligent opponent you can build yourself out of matchboxes and colored beads. Bonus link: An interview with Martin Gardner.
posted by Fuzzy Skinner on Apr 1, 2008 - 17 comments

Did you know that you can create a simple set of directions to your house that works no matter where the recipient starts from? After 38 years this remarkable conjecture has now been proved by a 63-year old former security guard.
posted by unSane on Mar 21, 2008 - 46 comments

The connection between mathematics and music is often touted in awed, mysterious tones, but it is grounded in hard-headed science. For example, mathematical principles underlie the organization of Western music into 12-note scales. And even a beginning piano student encounters geometry in the "circle of fifths" when learning the fundamentals of music theory. ...according to Dmitri Tymoczko, a composer and music theorist at Princeton University, these well-known connections reveal only a few threads of the hefty rope that binds music and math.

The Amen Break and the Golden Ratio by mathematics educator and author, Michael S. Schneider. Schneider, having already researched and written about the golden ratio extensively, noticed it right away when hearing the the amen break for the first time (amen break previously on the blue). While some composers have been known to intentionally incorporate fibonacci numbers and the golden ratio into their works, perhaps this is just another one of the many instances of the ratio showing up in nature.
posted by p3t3 on Mar 12, 2008 - 27 comments

If you could use a great big free handbook of discrete math and algorithms, Jörg Arndt's fxtbook wants to be your friend. Plain text table of contents to whet your appetite.
posted by Wolfdog on Mar 5, 2008 - 11 comments

Free math courses online, from very basic to brainiac. [more inside]
posted by nickyskye on Feb 26, 2008 - 19 comments

Fun and games with mathematics and mathematical puzzles (e.g. heart basket, Rubik's Cube, Rubik's Magic, hypercubes, and more) in both English and (with yet more content in) German.
posted by Blazecock Pileon on Feb 18, 2008 - 6 comments

The man who runs xkcd
has created the LimerickDB.
Though often quite dirty
There are more that are nerdy;
If you check out the best ones, you'll see.
posted by kyleg on Feb 5, 2008 - 88 comments

Basic Concepts in Science: A List A regularly updated list of blog entries explaining the basics of science and mathematics.
posted by LeeJay on Jan 25, 2008 - 16 comments