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"Perhaps twenty or thirty people in England may be expected to read this book." G.H. Hardy's review of Whitehead and Russell's *Principia Mathematica*, published in the Times Literary Supplement 100 years ago last week. "The time has passed when a philosopher can afford to be ignorant of mathematics, and a little perseverance will be well rewarded. It will be something to learn how many of the spectres that have haunted philosophers modern mathematics has finally laid to rest."

posted by escabeche on Sep 12, 2011 - 29 comments

posted by escabeche on Sep 12, 2011 - 29 comments

Henry Segerman creates mathematical sculptures using 3D printing:
Round Möbius Strip,
Hopf Fibration,
Half of a 120-cell,
Rectified Tesseract,
Tesseract and 16-cell,
Hilbert Curve,
Knotted Cogs,
Round Klein Bottle [more inside]

posted by Foci for Analysis on Sep 10, 2011 - 12 comments

posted by Foci for Analysis on Sep 10, 2011 - 12 comments

posted by Obscure Reference on Aug 27, 2011 - 42 comments

What is up with Noises? A fascinating explanation of why we hear sounds and music the way we do. It's a long video, but it's worth it!

posted by fzx101 on Aug 25, 2011 - 37 comments

posted by fzx101 on Aug 25, 2011 - 37 comments

Strongly Connected Components is a podcast of interviews with mathematicians. Hear complexity theorist Scott Aaronson (of Shtetl-Optimized), Tom Henderson (of Punk Mathematics) algebraist Olga Holtz of UC-Berkeley, master combinatorist Richard Stanley of MIT, and many more.

posted by escabeche on Aug 5, 2011 - 5 comments

posted by escabeche on Aug 5, 2011 - 5 comments

Ron Doerfler's Dead Reckonings - Lost Art in the Mathematical Sciences is a collection of essays, in weblog format, on historical techniques in mathematical sciences, antique scientific instruments and other related topics. [more inside]

posted by tykky on Aug 1, 2011 - 21 comments

posted by tykky on Aug 1, 2011 - 21 comments

Beaded Polyhedra ❂ More beadwork (mathematical and otherwise) by Gwen Fisher ❂ Still more beadwork galleries at beAdinfinitum ❂ Three-dimensional finite point groups and the symmetry of beaded beads [pdf - some algebra, but lots of illustrations]

posted by Wolfdog on Jul 19, 2011 - 6 comments

posted by Wolfdog on Jul 19, 2011 - 6 comments

144 sites for online education. Categories include science and health, business and money, history and culture, law, computer science, mathematics, and languages. [more inside]

posted by Bora Horza Gobuchul on Jul 18, 2011 - 19 comments

posted by Bora Horza Gobuchul on Jul 18, 2011 - 19 comments

A thread full of proofs without words at MathOverflow and quite a lot more of them courtesy of Google Books.

posted by Wolfdog on Jul 18, 2011 - 22 comments

posted by Wolfdog on Jul 18, 2011 - 22 comments

Happy Tau Day! τ (2 × π, that is, 6.28...) is the number of radians in a turn. Translating the digits to notes even makes beautiful music. (By comparison, what pi sounds like). Previously.

posted by Bora Horza Gobuchul on Jun 28, 2011 - 37 comments

posted by Bora Horza Gobuchul on Jun 28, 2011 - 37 comments

92 years young, the delightful Raymond Smullyan is a mathematician, logician, magician, concert pianist, and Taoist philosopher - who also pioneered retrograde chess problems.

posted by Trurl on Jun 26, 2011 - 22 comments

posted by Trurl on Jun 26, 2011 - 22 comments

Microsoft Mathematics is a free Computer Algebra System (CAS) available from Microsoft. A CAS is a program that can solve purely symbolic mathematical equations. For example, the program can tell you that the derivative of 6x^2 + 12x is 12x + 12. The program has functions for calculus, statistics, linear algebra, and graphing. One interesting feature of the program is that in some cases it can show and describe the intermediate steps involved in solving an equation. Here’s a 16 page tutorial (in MS Word docx format) showing how to use the program. The program can be downloaded from the Microsoft download page. Thirty-two and sixty-four bit versions are available. The program only works on XP/Vista/Windows 7.

posted by Jasper Friendly Bear on May 23, 2011 - 56 comments

posted by Jasper Friendly Bear on May 23, 2011 - 56 comments

"Value-added modeling is promoted because it has the right pedigree -- because it is based on "sophisticated mathematics." As a consequence, mathematics that ought to be used to illuminate ends up being used to intimidate." John Ewing, president of Math for America and former executive director of the American Mathematical Society, criticizes the "value-added modeling" approach used as a proxy for teacher quality, most famously in a Los Angeles Times story that called out low-scoring teachers by name. A Brookings Institution paper says value-added modeling is flawed but the best measure we have of teacher value, arguing that the metric's wide fluctuations from year to year are no worse than those of batting averages in baseball. (Though the weakness of that correlation is mostly a BABIP issue.) Can we assign a numerical value to teacher quality? If so, how?

posted by escabeche on Apr 27, 2011 - 62 comments

posted by escabeche on Apr 27, 2011 - 62 comments

Vortex-based mathematics is the most advanced ever known to mankind. Don't have time for a time cube? Time need no longer limit us. Here, Marco Rodin (inventor of the Rodin Coil) gives us the background.

posted by Obscure Reference on Apr 27, 2011 - 45 comments

posted by Obscure Reference on Apr 27, 2011 - 45 comments

Mark Taylor. Reform the PhD system or close it down. Nature **472**, 261 (2011) [more inside]

posted by jeffburdges on Apr 26, 2011 - 54 comments

posted by jeffburdges on Apr 26, 2011 - 54 comments

The annual Melbourne University Puzzle Hunt is back - and this time they need your help fending off villians with your puzzle-solving abilities. Anyone from anywhere in the world can compete in teams of 1 to 10 people (or you can see the puzzles for yourself and play at home). [more inside]

posted by divabat on Apr 10, 2011 - 7 comments

posted by divabat on Apr 10, 2011 - 7 comments

Following in the footsteps of prestigious publications like the Annals of Improbable Research, NCBI ROFL, Rejecta Mathematica, the Journal of Universal Rejection, and the Journal of Unpublished Results, comes the Journal of Are You Fucking Kidding. Previous, previously, and previouslier.
h/t to Retraction Watch

posted by Minus215Cee on Apr 4, 2011 - 15 comments

posted by Minus215Cee on Apr 4, 2011 - 15 comments

The J programming language is kind of like a super calculator (it’s been described as executable mathematical notation). It was developed by Ken Iverson and Roger Hui and is a successor to APL (and there’s no need to buy a new keyboard). The language is free and open source, and works on Windows, Mac, and Linux. A series of books and articles on using J are also available to download. To whet your appetite, here’s an article on using J to find the eighth ten-digit prime number that appears among the digits of pi.

posted by Jasper Friendly Bear on Mar 26, 2011 - 79 comments

posted by Jasper Friendly Bear on Mar 26, 2011 - 79 comments

"MathJax is an open source JavaScript display engine for mathematics that works in all modern browsers." Displaying math and equations in web pages has been a pretty consistent problem. MathJax allows you to use either MathML or TeX/LaTeX as input and then formats it into beautiful, scalable HTML.

posted by Deathalicious on Mar 14, 2011 - 24 comments

posted by Deathalicious on Mar 14, 2011 - 24 comments

Happy half-τ day! What's a half-τ? You know it as π, but π is wrong. (via)

posted by DU on Mar 14, 2011 - 100 comments

posted by DU on Mar 14, 2011 - 100 comments

So you're me and you're in math class and you're learning about graph theory, a subject too interesting to be included in most grade school's curricula so maybe you're in some special program or maybe you're in college and were somehow not scarred for life by your grade school math teachers. [more inside]

posted by achmorrison on Feb 22, 2011 - 32 comments

posted by achmorrison on Feb 22, 2011 - 32 comments

New math theories reveal the nature of numbers [1,2] - "We prove that partition numbers are 'fractal' for every prime. These numbers, in a way we make precise, are self-similar in a shocking way. Our 'zooming' procedure resolves several open conjectures, and it will change how mathematicians study partitions." (/.|via) [more inside]

posted by kliuless on Jan 22, 2011 - 45 comments

posted by kliuless on Jan 22, 2011 - 45 comments

Let's say you're me and you're in math class, and you're supposed to be learning about factoring. Trouble is, your teacher is too busy trying to convince you that factoring is a useful skill for the average person to know with real-world applications ranging from passing your state exams all the way to getting a higher SAT score and unfortunately does not have the time to show you why factoring is actually interesting. It's perfectly reasonable for you to get bored in this situation. So like any reasonable person, you start doodling.[more inside]

posted by ErWenn on Dec 3, 2010 - 27 comments

In today's example of kids smarter than you and I, Wired follows the exploits of two teens competing at the International Olympiad in Informatics.

posted by reenum on Dec 2, 2010 - 14 comments

posted by reenum on Dec 2, 2010 - 14 comments

A Brief History of Mathematics is a BBC series of ten fifteen-minute podcasts by Professor Marcus du Sautoy about the history of mathematics from Newton and Leibniz to Nicolas Bourbaki, the pseudonym of a group of French 20th Century mathematicians. Among those covered by Professor du Sautoy are Euler, Fourier and Poincaré. The podcasts also include short interviews with people such as Brian Eno and Roger Penrose.

posted by Kattullus on Dec 1, 2010 - 11 comments

posted by Kattullus on Dec 1, 2010 - 11 comments

A brief tour of the mysteriously universal laws of mathematics and nature. [more inside]

posted by kliuless on Oct 24, 2010 - 33 comments

posted by kliuless on Oct 24, 2010 - 33 comments

Logical literacy is an awareness and understanding of the metalanguage in which propositions, conjectures, lemmas and theorems are written.

posted by jjray on Oct 12, 2010 - 44 comments

posted by jjray on Oct 12, 2010 - 44 comments

posted by Rhaomi on Aug 22, 2010 - 130 comments

The 300th issue of This Week's Finds in Mathematical Physics will be the last. It is not an exaggeration to say that when John Baez started publishing TWF in 1993, he invented the science blog, and an (academic) generation has now grown up reading his thoughts on higher category theory, zeta functions, quantum gravity, crazy pictures of roots of polynomials, science fiction, and everything else that can loosely be called either "mathematical" or "physics."
Baez continues to blog actively at n-category cafe and the associated nLab (an intriguingly fermented commune of mathematicians, physicists, and philosophers.) He is now starting a new blog, Azimuth, "centered around the theme of *what scientists can do to help save the planet*."

posted by escabeche on Aug 14, 2010 - 17 comments

posted by escabeche on Aug 14, 2010 - 17 comments

posted by knz on Aug 8, 2010 - 113 comments

Editors of the pop-culture magazine *Wired* provided the title "iPhone 4’s ‘Retina’ Display Claims Are False Marketing" to a highly critical article about the new iPhone's high-resolution "Retina" display, so-called as the human eye cannot resolve individual pixels when viewing it. A technician who worked on the Hubble telescope disagreed with the Wired editors' choice of rhetoric in very strong technical terms and issued less stringent disagreement with Raymond Soneira, the writer of the piece. Neuroscientist and photographer Bryan Jones published his own highly readable technical analysis of the display's pixel arrangement, that helped him decide whether Apple's claims were truthful or not.

posted by Blazecock Pileon on Jun 26, 2010 - 64 comments

posted by Blazecock Pileon on Jun 26, 2010 - 64 comments

The great[pdf] Russian mathematican Vladimir Igorevich Arnol'd, foremost modern practitioner of classical mechanics, influential teacher, namesake of a minor planet, and semi-nude cross-country skier has died.

posted by ennui.bz on Jun 11, 2010 - 10 comments

posted by ennui.bz on Jun 11, 2010 - 10 comments

"Gary Foshee, a collector and designer of puzzles from Issaquah near Seattle walked to the lectern to present his talk. It consisted of the following three sentences: "I have two children. One is a boy born on a Tuesday. What is the probability I have two boys?"" [more inside]

posted by andoatnp on May 25, 2010 - 233 comments

posted by andoatnp on May 25, 2010 - 233 comments

posted by Wolfdog on May 16, 2010 - 3 comments

Dan Meyer is a high school math teacher with a clever idea: make math about the real world. On his blog, he writes about classroom management, the real skills of teaching, labels, information design, and assessment.

posted by l33tpolicywonk on May 14, 2010 - 30 comments

posted by l33tpolicywonk on May 14, 2010 - 30 comments

Since its first printing in 1964, Abramowitz and Stegun's Handbook of Mathematical Functions has been a standard (and public domain) reference manual for special functions and applied mathematics. This week, NIST released its successor, the Digital Library of Mathematical Functions, online to the public.

posted by Upton O'Good on May 13, 2010 - 29 comments

posted by Upton O'Good on May 13, 2010 - 29 comments

If politicians were mathematicians. "I would like to suggest two systems for parliamentary votes, one that would weaken the party system but without killing it off entirely, and one that would protect large minorities. Neither has the slightest chance of being adopted, because they are both too complicated to be taken seriously. But mathematicians wouldn’t find them complicated at all — hence the title of this post." Fields medalist Tim Gowers messes around with political axioms.

posted by escabeche on May 12, 2010 - 18 comments

posted by escabeche on May 12, 2010 - 18 comments

Mathematician Barbara Shipman speculates that a honey bee's sense of the quantum world could be as important to their perception of the world as sight, sound or smell: "the mathematics implies that bees are doing something with quarks."

posted by jardinier on May 7, 2010 - 46 comments

posted by jardinier on May 7, 2010 - 46 comments

Every number from 1 to 9,999 has a special meaning. (much mathematical terminology, scrolling)

posted by zardoz on Apr 21, 2010 - 69 comments

posted by zardoz on Apr 21, 2010 - 69 comments

Mathematics Illuminated is a set of thirteen surveys in varied topics in mathematics, nicely produced with video, text, and interactive Flash gadgets for each of the topics.

posted by Wolfdog on Apr 14, 2010 - 8 comments

posted by Wolfdog on Apr 14, 2010 - 8 comments

"Crazy as it sounds, over the next several weeks I’m going to try to do something close to that. I’ll be writing about the elements of mathematics, from pre-school to grad school, for anyone out there who’d like to have a second chance at the subject — but this time from an adult perspective. It’s not intended to be remedial. The goal is to give you a better feeling for what math is all about and why it’s so enthralling to those who get it." Mathematics in the pages of the New York Times! [more inside]

posted by storybored on Apr 11, 2010 - 21 comments

posted by storybored on Apr 11, 2010 - 21 comments

"Take a little bad psychology, add a dash of bad philosophy and ethics, and liberal quantities of bad logic, and any economist can prove that the demand curve for a commodity is negatively inclined." MIT economist Andrew Lo and string theorist turned asset manager Mark Mueller on the "physics envy" that plagues economics, and how to stop worrying and love uncertainty.

posted by escabeche on Apr 1, 2010 - 37 comments

posted by escabeche on Apr 1, 2010 - 37 comments

Does a group of indigenous South Americans hold the key to our relationship with maths? *Still, I thought it odd that numbers larger than five did not crop up at all in Amazonian daily life. What if you ask a Munduruku with six children how many kids they have? "He will say, 'I don't know,'" Pica said. "It is impossible to express."*

posted by selton on Apr 1, 2010 - 63 comments

posted by selton on Apr 1, 2010 - 63 comments

Grigori Perelman has refused one million dollars from the Clay Mathematics Institute for his solution to the Poincaré conjecture. Despite some pressure to take the money and give it to one party or another, Perelman insists "I am not a hero of mathematics. I am not successful at all, and I do not want to be observed by everyone." Perelman previously refused the Fields Medal, mathematics' highest honor. (Previously.)

posted by twoleftfeet on Mar 27, 2010 - 146 comments

posted by twoleftfeet on Mar 27, 2010 - 146 comments

Nature by Numbers is a new animated short film by Cristóbal Vila (previously) inspired by some mathematical constructs found in nature. (via)

posted by gruchall on Mar 23, 2010 - 7 comments

posted by gruchall on Mar 23, 2010 - 7 comments

The Shannon number? Skewes' number? Graham's number? Please. When you're ready to get serious, here are some truly large numbers. (previously, but with dead links)

posted by Joe Beese on Mar 9, 2010 - 45 comments

posted by Joe Beese on Mar 9, 2010 - 45 comments

Found Functions. An elegant demonstration of beauty in mathematics (and landscape). Nikki Graziano is a math and photography student at Rochester Institute of Technology; some of her photographs were recently featured in Wired. Graziano "overlays graphs and their corresponding equations onto her carefully composed photos. ... Graziano doesn’t go out looking for a specific function but lets one find her instead. Once she’s got an image she likes, Graziano whips up the numbers and tweaks the function until the graph it describes aligns perfectly with the photograph."

posted by jokeefe on Feb 8, 2010 - 32 comments

posted by jokeefe on Feb 8, 2010 - 32 comments