MetaFilter posts tagged with Mathematics
http://www.metafilter.com/tags/Mathematics
Posts tagged with 'Mathematics' at MetaFilter.Sun, 20 Sep 2015 13:39:04 -0800Sun, 20 Sep 2015 13:39:04 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60Fun math for kids
http://www.metafilter.com/153162/Fun%2Dmath%2Dfor%2Dkids
<a href="https://liorpachter.wordpress.com/2015/09/20/unsolved-problems-with-the-common-core/">Unsolved problems with the common core.</a> Computational biologist (and <a href="http://www.metafilter.com/136576/Network-Nonsense">occasional curmudgeon</a>) Lior Pachter pairs <a href="https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics">unsolved problems in mathematics</a> to <a href="http://www.corestandards.org/">common core</a> math standards. tag:metafilter.com,2015:site.153162Sun, 20 Sep 2015 13:39:04 -0800quaking fajita"Please, may I cry?"
http://www.metafilter.com/152603/Please%2Dmay%2DI%2Dcry
Martin Gardner, sprouts, the game of Life, and much more - John Conway's<a href="https://www.quantamagazine.org/20150828-john-conway-a-life-in-games/"> lifetime in games</a>. tag:metafilter.com,2015:site.152603Tue, 01 Sep 2015 06:18:23 -0800ChrysostomFlowetry in motion
http://www.metafilter.com/152290/Flowetry%2Din%2Dmotion
<a href="http://www.theguardian.com/stage/2015/mar/29/hollie-poetry-mcnish-woman-versus-world-interview-tour">2009 UK Slam Poetry Champion</a> Hollie McNish, aka <a href="http://holliepoetry.com/">Hollie Poetry</a>, questions our attitudes on immigration with <a href="https://www.youtube.com/watch?v=_i4tYzvx6wU">Mathematics</a>. <a href="https://www.youtube.com/user/holliemcnish">More from her YouTube channel</a>. tag:metafilter.com,2015:site.152290Thu, 20 Aug 2015 12:55:31 -0800urbanwhaleshark"Writing is healing. Writing is art. Writing is learning."
http://www.metafilter.com/151680/Writing%2Dis%2Dhealing%2DWriting%2Dis%2Dart%2DWriting%2Dis%2Dlearning
<a href="http://blog.pshares.org/index.php/round-down-the-role-of-writers-in-a-stem-obsessed-society/">The Role of Writers in a STEM Obsessed Society</a> <blockquote>"As writers, it's easy to think of how we matter to literature classrooms, but what the appointment of writers-in-residence in hospitals, history classrooms, foreign language learning spaces, and cooking schools reminds us is that we are relevant wherever there is humanity—which is to say, wherever humans are with their stories. Writing is healing. Writing is art. Writing is learning. As such, writing across the disciplines matters. Many models of artist residencies depend upon the retreat model, wherein the artist sequesters herself away with a small community of other artists. While these models have value, especially when considering how solitude relates to the creative process, it's heartening to me to see more models catch on that value the place of the writer in society, rather than hidden away from it." </blockquote> tag:metafilter.com,2015:site.151680Thu, 30 Jul 2015 09:42:14 -0800FizzFamous Fluid Equations Are Incomplete
http://www.metafilter.com/151640/Famous%2DFluid%2DEquations%2DAre%2DIncomplete
<a href="http://www.nytimes.com/2015/07/26/magazine/the-singular-mind-of-terry-tao.html">The Singular Mind of Terry Tao</a> - "<a href="http://thecolbertreport.cc.com/guests/terence-tao/6wtwlg/terence-tao">Imagine</a>, <a href="http://www.smh.com.au/good-weekend/terence-tao-the-mozart-of-maths-20150306-13fwcv.html">he said</a>, that <a href="http://bactra.org/notebooks/tsallis.html">someone awfully clever</a> could <a href="https://en.wikipedia.org/wiki/MONIAC_Computer">construct a machine</a> out of pure water. It would be built not of rods and gears but <a href="http://paulromer.net/why-information-grows/">from a pattern</a> of interacting currents." (<a href="https://twitter.com/Noahpinion/status/624664545995264000">via</a>) <blockquote>Tao has emerged as one of the field's great bridge-builders. At the time of his Fields Medal, he had already made discoveries with more than 30 different collaborators. Since then, he has also become a prolific math blogger with a decidedly non-Gaussian ebullience: He celebrates the work of others, shares favorite tricks, documents his progress and delights at any corrections that follow in the comments. He has organized cooperative online efforts to work on problems. "Terry is what a great 21st-century mathematician looks like," [<a href="http://www.metafilter.com/user/21049">mefi's</a> <a href="http://projects.metafilter.com/4308/How-Not-To-Be-Wrong">own</a>] Jordan Ellenberg, a mathematician at the University of Wisconsin, Madison, who has collaborated with Tao, told me. He is "part of a network, always communicating, always connecting what he is doing with what other people are doing."</blockquote>
<a href="https://plus.google.com/117663015413546257905/posts/EVYdMhSqtWu">also btw</a>...
<a href="https://www.quantamagazine.org/20150721-famous-fluid-equations-are-incomplete/">A 115-year effort to bridge the particle and fluid descriptions of nature has led mathematicians to an unexpected answer</a> - "The evidence suggests that truer equations of fluid dynamics can be found in a little-known, relatively unheralded theory developed by the Dutch mathematician and physicist <a href="https://en.wikipedia.org/wiki/Diederik_Korteweg">Diederik Korteweg</a> in the early 1900s. And yet, for some gases, even the Korteweg equations fall short, and there is no fluid picture at all." tag:metafilter.com,2015:site.151640Wed, 29 Jul 2015 00:34:29 -0800kliulessHoTT Coq
http://www.metafilter.com/150345/HoTT%2DCoq
<a href="https://www.quantamagazine.org/20150519-will-computers-redefine-the-roots-of-math/">Univalent Foundations Redefines Mathematics</a> - "When a legendary mathematician found a mistake in his own work, he embarked on a computer-aided quest to eliminate human error. To succeed, he has to <a href="http://homotopytypetheory.org/book/">rewrite the century-old rules</a> underlying all of mathematics." (<a href="http://www.metafilter.com/126041/Computerized-Math-Formal-Proofs-andamp-Alternative-Logic">previously</a>) <a href="http://www.ams.org/notices/201309/rnoti-p1164.pdf">Voevodsky's Univalence Axiom in Homotopy Type Theory</a>
<blockquote>One of Voevodsky's goals (<a href="https://intelligence.org/2014/02/21/john-baez-on-research-tactics/">as we understand it</a>) is that, in a not too distant future, mathematicians will be able to verify the correctness of their own papers by working <a href="http://math.andrej.com/2014/01/13/univalent-foundations-subsume-classical-mathematics/">within the system of univalent foundations</a> formalized in a proof assistant and that doing so will become natural even for pure mathematicians (the same way that most mathematicians now typeset their own papers in TeX). We believe that this aspect of the <a href="http://ncatlab.org/nlab/show/univalence+axiom">univalent foundations program</a> distinguishes it from other approaches to foundations by providing a practical utility for the working mathematician.</blockquote>
-<a href="http://www.science4all.org/le-nguyen-hoang/type-theory/">Type Theory: A Modern Computable Paradigm for Math</a>
-<a href="http://www.science4all.org/le-nguyen-hoang/homotopy-type-theory/">Homotopy Type Theory and Higher Inductive Types</a>
-<a href="http://www.science4all.org/le-nguyen-hoang/univalence/">Univalent Foundations of Mathematics</a>
also btw...
-<a href="https://www.youtube.com/watch?v=QNznD9hMEh0">James Simons interview</a>
-<a href="https://mathematicswithoutapologies.wordpress.com/2015/05/13/univalent-foundations-no-comment/">Univalent Foundations: "No Comment."</a> (<a href="http://math-frolic.blogspot.com/2015/05/set-theory-type-theory-hott-univalent.html">via</a>)
-<a href="https://terrytao.wordpress.com/career-advice/there%E2%80%99s-more-to-mathematics-than-rigour-and-proofs/">There's more to mathematics than rigour and proofs</a> tag:metafilter.com,2015:site.150345Tue, 09 Jun 2015 22:40:35 -0800kliuless3Blue1Brown: Reminding the world that math makes sense
http://www.metafilter.com/150242/3Blue1Brown%2DReminding%2Dthe%2Dworld%2Dthat%2Dmath%2Dmakes%2Dsense
<a href="https://www.youtube.com/watch?v=F_0yfvm0UoU">Understanding e to the pi i</a> - "<a href="http://www.3blue1brown.com/s/HowToThinkAboutExponentials.pdf">An intuitive explanation</a> as to why <a href="http://www.bbc.co.uk/programmes/b04hz49f" title="Melvyn Bragg and his guests discuss Euler's number, also known as e. First discovered in the seventeenth century by the Swiss mathematician Jacob Bernoulli when he was studying compound interest, e is now recognised as one of the most important and interesting numbers in mathematics. Roughly equal to 2.718, e is useful in studying many everyday situations, from personal savings to epidemics. It also features in Euler's Identity, sometimes described as the most beautiful equation ever written. With: Colva Roney-Dougal, Reader in Pure Mathematics at the University of St Andrews; June Barrow-Green, Senior Lecturer in the History of Maths at the Open University; and Vicky Neale, Whitehead Lecturer at the Mathematical Institute and Balliol College at the University of Oxford.">e</a> to the <a href="http://www.bbc.co.uk/programmes/p004y291" title="Melvyn Bragg and guests discuss the history of the most detailed number in nature. In the Bible's description of Solomon's temple it comes out as three, Archimedes calculated it to the equivalent of 14 decimal places and today's super computers have defined it with an extraordinary degree of accuracy to its first 1.4 trillion digits. It is the longest number in nature and we only need its first 32 figures to calculate the size of the known universe within the accuracy of one proton. We are talking about Pi, 3.14159 etc, the number which describes the ratio of a circle's diameter to its circumference. How has something so commonplace in nature been such a challenge for maths? And what does the oddly ubiquitous nature of Pi tell us about the hidden complexities of our world? With: Robert Kaplan, co-founder of the Maths Circle at Harvard University; Eleanor Robson, Lecturer in the Department of History and Philosophy of Science at Cambridge University; and Ian Stewart, Professor of Mathematics at the University of Warwick.">pi</a> <a href="http://www.bbc.co.uk/programmes/b00tt6b2" title="Melvyn Bragg and his guests discuss imaginary numbers. In the sixteenth century, a group of mathematicians in Bologna found a solution to a problem that had puzzled generations before them: a completely new kind of number. For more than a century this discovery was greeted with such scepticism that the great French thinker Rene Descartes dismissed it as an 'imaginary' number. The name stuck - but so did the numbers. Long dismissed as useless or even fictitious, the imaginary number i and its properties were first explored seriously in the eighteenth century. Today the imaginary numbers are in daily use by engineers, and are vital to our understanding of phenomena including electricity and radio waves. With: Marcus du Sautoy, Professor of Mathematics at Oxford University; Ian Stewart, Emeritus Professor of Mathematics at the University of Warwick; and Caroline Series, Professor of Mathematics at the University of Warwick.">i</a> equals -1 <a href="https://www.youtube.com/watch?v=1rVHLZm5Aho">without a hint</a> of calculus. This is <a href="https://www.youtube.com/watch?v=zLzLxVeqdQg">not your usual</a> Taylor series nonsense." (<a href="https://twitter.com/stevenstrogatz/status/604653212214292481" title="''A star is born.''">via</a> <a href="https://twitter.com/Noahpinion/status/604679198259580928" title="''Best geek video I've seen all week.''">via</a>; <a href="http://www.reddit.com/r/math/comments/2xzzk0/nontaylorseries_explanation_for_eulers_formula/">reddit</a>; <a href="http://www.metafilter.com/89918/Math-is-beautiful">previously</a>) <a href="https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw">More videos from 3Blue1Brown</a>: "<a href="http://www.3blue1brown.com/">3Blue1Brown</a> is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be <a href="http://www.3blue1brown.com/about/" title="''When the tool I am building for animations becomes something besides a jumble of Python and Duct tape, I'll make it publicly available so that anyone can use it to easily illustrate their own explanations.''">driven by animations</a>, for difficult problems to be made simple with changes in perspective, and for philosophizing to be limited to the brevity and semantic constraints of silly poetry. Basically, math sits in <a href="https://plus.google.com/117663015413546257905/posts/QAhMH35LThk">an ivory tower it built itself out of</a> jargon and impossibly long sequences of (seemingly) logical steps, and I would like to take it out for a walk to <a href="http://wordplay.blogs.nytimes.com/2015/03/09/%CF%80/">meet everyone</a>." tag:metafilter.com,2015:site.150242Sat, 06 Jun 2015 11:42:18 -0800kliulessThe toilet seat: up or down?
http://www.metafilter.com/150184/The%2Dtoilet%2Dseat%2Dup%2Dor%2Ddown
"I amused myself for over a year thinking about the impacts of different toilet seat administration policies and how to measure them – doing calculations in my head, considering ratios of Standing events to Sitting events, and I slowly began to understand some of the specific differences in the basic policies that know to be administered most often. Finally, I decided to perform a probabilistic analysis". <a href="http://everything2.com/user/DieuEtMonDroit/writeups/Essential+Toilet+Seat+Analytics">Essential Toilet Seat Analytics</a>. tag:metafilter.com,2015:site.150184Thu, 04 Jun 2015 06:02:28 -0800paleyellowwithorangeIt's true because pictures
http://www.metafilter.com/149953/Its%2Dtrue%2Dbecause%2Dpictures
<a href="http://hyrodium.tumblr.com/post/94237657514/inspired-by-this-twocubes-post-and-asked-to-make">(1 + 2 + ... + n)<sup>2</sup> = (1<sup>3</sup> + 2<sup>3</sup> + ... + n<sup>3</sup>)</a> [animated GIF]<br>
(<a href="http://twocubes.tumblr.com/post/91667952063/anyways-heres-an-explanation-of-why-that-one">unanimated version</a>) tag:metafilter.com,2015:site.149953Tue, 26 May 2015 18:19:41 -0800WolfdogIn mathematics, you don't understand things. You just get used to them.
http://www.metafilter.com/149004/In%2Dmathematics%2Dyou%2Ddont%2Dunderstand%2Dthings%2DYou%2Djust%2Dget%2Dused%2Dto%2Dthem
<a href="http://blog.education.nationalgeographic.com/2015/04/15/a-peep-into-the-speed-of-light/">Calculating the Speed of Light Using a Microwave and PEEPS</a> (or other melty things) from National Geographic's Education Blog and NPR's Skunk Bear videos (showing some history of calculating the speed of light... with peeps as historical scientists, of course) tag:metafilter.com,2015:site.149004Tue, 21 Apr 2015 06:42:16 -0800oneswellfoopThe golden ratio has spawned a beautiful new curve: the Harriss spiral
http://www.metafilter.com/148950/The%2Dgolden%2Dratio%2Dhas%2Dspawned%2Da%2Dbeautiful%2Dnew%2Dcurve%2Dthe%2DHarriss%2Dspiral
<a href="http://www.theguardian.com/science/alexs-adventures-in-numberland/2015/jan/13/golden-ratio-beautiful-new-curve-harriss-spiral"> is a new fractal discovered by mathematician <a href="http://maxwelldemon.com/edmund-harriss/">Edmund</a> <a href="http://www.mathematicians.org.uk/eoh/"> Harriss</a>.</a> tag:metafilter.com,2015:site.148950Sat, 18 Apr 2015 19:46:12 -0800boo_radley"You blew it, and you blew it big!"
http://www.metafilter.com/147228/You%2Dblew%2Dit%2Dand%2Dyou%2Dblew%2Dit%2Dbig
<a href="http://priceonomics.com/the-time-everyone-corrected-the-worlds-smartest/">The Time Everyone "Corrected" the World's Smartest Woman</a> tag:metafilter.com,2015:site.147228Fri, 20 Feb 2015 18:05:13 -0800brundleflyThe Man Who Tried to Redeem the World with Logic
http://www.metafilter.com/146921/The%2DMan%2DWho%2DTried%2Dto%2DRedeem%2Dthe%2DWorld%2Dwith%2DLogic
<a href="http://nautil.us/issue/21/information/the-man-who-tried-to-redeem-the-world-with-logic">Walter Pitts rose from the streets to MIT, but couldn't escape himself.</a> Pitts was used to being bullied. He'd been born into a tough family in Prohibition-era Detroit, where his father, a boiler-maker, had no trouble raising his fists to get his way. The neighborhood boys weren't much better. One afternoon in 1935, they chased him through the streets until he ducked into the local library to hide. The library was familiar ground, where he had taught himself Greek, Latin, logic, and mathematics—better than home, where his father insisted he drop out of school and go to work. Outside, the world was messy. Inside, it all made sense. Not wanting to risk another run-in that night, Pitts stayed hidden until the library closed for the evening. Alone, he wandered through the stacks of books until he came across Principia Mathematica, a three-volume tome written by Bertrand Russell and Alfred Whitehead between 1910 and 1913, which attempted to reduce all of mathematics to pure logic. Pitts sat down and began to read. For three days he remained in the library until he had read each volume cover to cover—nearly 2,000 pages in all—and had identified several mistakes. Deciding that Bertrand Russell himself needed to know about these, the boy drafted a letter to Russell detailing the errors. Not only did Russell write back, he was so impressed that he invited Pitts to study with him as a graduate student at Cambridge University in England. Pitts couldn't oblige him, though—he was only 12 years old. But three years later, when he heard that Russell would be visiting the University of Chicago, the 15-year-old ran away from home and headed for Illinois. He never saw his family again. tag:metafilter.com,2015:site.146921Tue, 10 Feb 2015 18:13:50 -0800standardasparagusIslamic Astropolitik
http://www.metafilter.com/146640/Islamic%2DAstropolitik
<a href="http://thenewinquiry.com/essays/islamic-astropolitik/">Despite Western anxieties over Muslim conquest, traditions of Islamic astronomy and the portability of ritual space in Islam find Muslims at home among the stars.</a> Astrological and cosmological inquiry by medieval Muslim and Arabian scholars (that is, they wrote in Arabic) were concerned with the link that connected the earth and the night sky, and humankind's place in it. The religious impulse to make sense of this "place" would animate scientific debates about the stars in the ninth to 14th centuries—the "golden age of Islam." In turn, the legacy of Muslim scientists or natural philosophers of this period would inspire Islamic practice in outer space in the 21st century, with dubious results.
For centuries, the stars out in outer space provided humanity with a sense of wonder, mystery, and the divine. Through gazing upon the stars and stripping away their distant secret, a mastery of extraterrestrial worlds and dreams of conquest became inevitable. Thus in the present century, Islamic science and space exploration would together at last arrive at a spectacular conclusion: an achievement of greater proximity to the stars to better understand humankind's place and space in the universe. Not only would Muslims arrive in outer space, but through techno-theological discourse, they would able to make space for Islam among the stars. tag:metafilter.com,2015:site.146640Sun, 01 Feb 2015 11:39:28 -0800standardasparagusThanks, Common Core.
http://www.metafilter.com/146159/Thanks%2DCommon%2DCore
<a href="http://scienceblogs.com/principles/2015/01/15/thanks-common-core/">Thanks, Common Core.</a> Physics blogger Chad Orzel writes about the way kids do math now. (Spoiler: he likes it.) Other math Common Core links:
<a href="http://mathbabe.org/2014/02/11/interview-with-bill-mccallum-lead-writer-of-math-common-core/">Interview with mathematician Bill McCallum</a>, leader of the working group that prepared the math Common Core standards.
<a href="http://www.ams.org/notices/201401/rnoti-p24.pdf">Conversations with Euclid</a>: an alternate pedagogical approach to the Common Core geometry standards.
The Common Core standards increase the emphasis on statistical and probabilistic ideas, even in the earliest grades. <a href="http://www.amstat.org/education/stn/pdfs/STN79.pdf">Statistics Teacher Network</a> walks you through the content. tag:metafilter.com,2015:site.146159Thu, 15 Jan 2015 16:28:08 -0800escabecheNo Pentagons
http://www.metafilter.com/146120/No%2DPentagons
<a href="http://gruze.org/tilings/">Imperfect Congruence</a> - <i>It is a curious fact that no edge-to-edge regular polygon tiling of the plane can include a pentagon ... This website explains the basic mathematics of a particular class of tilings of the plane, those involving regular polygons such as triangles or hexagons. As will be shown, certain combinations of regular polygons cannot be extended to a full tiling of the plane without involving additional shapes, such as rhombs. The site contains some commentary on Renaissance research on this subject carried out by two renowned figures, the mathematician-astronomer Johannes Kepler and the artist Albrecht Dürer.</i> Bonus link: <a href="http://plus.maths.org/content/trouble-five">The Trouble with Five</a> (by Craig Kaplan, at Plus magazine - a short, tantalizing article suitable for school-age readers...) tag:metafilter.com,2015:site.146120Wed, 14 Jan 2015 11:58:51 -0800WolfdogFake 3D Until You Make 3D
http://www.metafilter.com/145968/Fake%2D3D%2DUntil%2DYou%2DMake%2D3D
Louis Gorenfeld lovingly explores <a href="http://www.extentofthejam.com/pseudo/">the mathematics and techniques</a> behind early, pseudo-3D games. <blockquote>Now that every system can produce graphics consisting of a zillion polygons on the fly, why would you want to do a road the old way? Aren't polygons the exact same thing, only better? Well, no. It's true that polygons lead to less distortion, but it is the warping in these old engines that give the surreal, exhillerating sense of speed found in many pre-polygon games. Think of the view as being controlled by a camera. As you take a curve in a game which uses one of these engines, it seems to look around the curve. Then, as the road straightens, the view straightens. As you go over a blind curve, the camera would seem to peer down over the ridge. And, since these games do not use a traditional track format with perfect spatial relationships, it is possible to effortlessly create tracks large enough that the player can go at ridiculous speeds-- without worrying about an object appearing on the track faster than the player can possibly react since the physical reality of the game can easily be tailored to the gameplay style.</blockquote> tag:metafilter.com,2015:site.145968Fri, 09 Jan 2015 05:43:35 -0800gilrain"Science is when you think a lot."
http://www.metafilter.com/145704/Science%2Dis%2Dwhen%2Dyou%2Dthink%2Da%2Dlot
<a href="http://www.ams.org/bookstore/pspdf/mcl-5-prev.pdf">Two enjoyable chapters</a> [PDF, 33 pages] from the book <i><a href="http://www.ams.org/bookstore-getitem/item=MCL-5">Math from Three to Seven</a>: The Story of a Mathematical Circle for Preschoolers.</i> "This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children." tag:metafilter.com,2014:site.145704Mon, 29 Dec 2014 10:43:09 -0800WolfdogProfessor and the boomerang
http://www.metafilter.com/144799/Professor%2Dand%2Dthe%2Dboomerang
Professor Yutaka Nishiyama is a mathematician and a boomerang enthusiast. His <a href="http://www.kbn3.com/bip/index2.html">Boomerang International Project page</a> contains instructions in multiple languages for making your own paper boomerang and several videos of the boomerang in action. Furthermore, he has written books and articles about mathematics in daily life, with publications and links to his articles available on <a href="http://www.osaka-ue.ac.jp/zemi/nishiyama/index.html">his homepage</a> (in English too). There is <a href="http://www.moebiusnoodles.com/2014/09/1001-leaders-make-and-fly-boomerangs-with-yutaka-nishiyama/">a short interview</a> with him on Moebius Noodles. tag:metafilter.com,2014:site.144799Mon, 24 Nov 2014 10:13:04 -0800tykkyIt's pretty obscure, you probably haven't--wait, what?
http://www.metafilter.com/144537/Its%2Dpretty%2Dobscure%2Dyou%2Dprobably%2Dhavent%2Dwait%2Dwhat
<a href="http://www.washingtonpost.com/news/storyline/wp/2014/11/11/the-mathematician-who-proved-why-hipsters-all-look-alike/">The mathematician who proved why hipsters all look alike</a> <br><br>Jonathan Touboul is a mathematician and a neuroscientist. Recently, he has been thinking about hipsters. Specifically, why hipsters all seem to dress alike. In his line of work, there are neurons that also behave like hipsters. They fire when every neuron around them is quiet; or they fall silent when every neuron around them is chattering. Because he is a mathematician, Touboul began to look for a way to explore this idea using equations. In other words, he constructed a mathematical model. His key insight is that people (and neurons) do not instantly perceive what is mainstream. There's a delay. And in situations where the delay is large enough, the contrarians can inadvertently synchronize with each other.
"In wanting to oppose the trends, there actually emerges some sort of hipster loop," Touboul said. A day before Halloween, Touboul put a draft of his paper on the arXiv, calling it <a href="http://arxiv.org/abs/1410.8001">"The hipster effect: When anticonformists all look the same."</a> tag:metafilter.com,2014:site.144537Sun, 16 Nov 2014 08:34:55 -0800Johnny WallflowerAlexander Grothendieck
http://www.metafilter.com/144475/Alexander%2DGrothendieck
Alexander Grothendieck, who brought much of contemporary mathematics into being with the force of his uncompromising vision, <a href="http://www.lemonde.fr/disparitions/article/2014/11/14/le-mathematicien-alexandre-grothendieck-est-mort_4523482_3382.html">is dead</a> at 86, some twenty-five years after leaving academic mathematics and retreating into a spiritual seclusion in the countryside. "As if summoned from the void," a two-part account of Grothendieck's life, from the Notices of the American Math Society: <a href="http://www.ams.org/notices/200409/fea-grothendieck-part1.pdf">part I</a>, <a href="http://www.ams.org/notices/200410/fea-grothendieck-part2.pdf">part II</a>. "Most mathematicians take refuge within a specific conceptual framework, in a "Universe" which seemingly has been fixed for all time – basically the one they encountered "ready-made" at the time when they did their studies. They may be compared to the heirs of a beautiful and capacious mansion in which all the installations and interior decorating have already been done, with its living-rooms , its kitchens, its studios, its cookery and cutlery, with everything in short, one needs to make or cook whatever one wishes. How this mansion has been constructed, laboriously over generations, and how and why this or that tool has been invented (as opposed to others which were not), why the rooms are disposed in just this fashion and not another – these are the kinds of questions which the heirs don't dream of asking . It's their "Universe", it's been given once and for all! It impresses one by virtue of its greatness, (even though one rarely makes the tour of all the rooms) yet at the same time by its familiarity, and, above all, with its immutability.....
I consider myself to be in the distinguished line of mathematicians whose spontaneous and joyful vocation it has been to be ceaseless building new mansions." (quoted in <a href="http://www.thebigquestions.com/2014/11/13/the-rising-sea/">a memorial blog post</a> by Steven Landsburg.)
<a href="http://xahlee.info/math/i/Alexander_Grothendieck_cartier.pdf">"A country of which nothing is known but the name"</a>: Pierre Cartier remembers Grothendieck.
<a href="http://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Oort.pdf">"Did earlier ideas influence Grothendieck?"</a> Frans Oort traces the origins of Grothendieck's revolutionary way of approaching mathematics, and asks: did he <em>really</em> never work examples? (This one is a bit more technical than the others.)
<a href="http://webusers.imj-prg.fr/~leila.schneps/corr.pdf">"The Grothendieck-Serre correspondence"</a>: Leila Schneps reflects on the decades-long exchange of letters between Grothendieck and Jean-Pierre Serre.
Much more Grothendieckiana can be found at <a href="http://www.grothendieckcircle.org/">The Grothendieck Circle.</a> tag:metafilter.com,2014:site.144475Thu, 13 Nov 2014 19:56:44 -0800escabecheOne of these things is not like the others
http://www.metafilter.com/144444/One%2Dof%2Dthese%2Dthings%2Dis%2Dnot%2Dlike%2Dthe%2Dothers
US News and World Report (USNWR) ranking of the top ten universities in mathematics are:
1. Berkeley ;
2. Stanford ;
3. Princeton ;
4. UCLA ;
5. University of Oxford ;
6. Harvard ;
<a href="http://liorpachter.wordpress.com/2014/10/31/to-some-a-citation-is-worth-3-per-year/">
7. King Abdulaziz University</a> ;
8. Pierre and Marie Curie – Paris 6 ;
9. University of Hong Kong ;
10. University of Cambridge <a href="http://gulfnews.com/opinions/columnists/universities-unethical-race-to-the-top-1.965748">Article summarizing</a> the original <a href="http://www.sciencemag.org/content/334/6061/1344.summary">2011 Science article</a> (paywalled) which exposed the Saudi cash-for-citations system. The blog comments are worth reading. tag:metafilter.com,2014:site.144444Wed, 12 Nov 2014 23:49:35 -0800benzenedreamOf course, everyone knows about levers...
http://www.metafilter.com/143330/Of%2Dcourse%2Deveryone%2Dknows%2Dabout%2Dlevers
<a href="http://www.math.uga.edu/%7Eshifrin/Spivak_physics.pdf">Elementary Mechanics from a Mathematician's Viewpoint</a> [direct link to large PDF] by Michael Spivak - notes from his eight 2004 lectures (which eventually became a book). See the quote inside to get the flavor of it. <blockquote>These lectures are based on a book that I am writing, or at least trying to write. For many years I have been saying that I would like to write a book (or series of books) called Physics for Mathematicians. Whenever I would tell people that, they would say, Oh good, you're going to explain quantum mechanics, or string theory, or something like that. And I would say, Well that would be nice, but I can't begin to do that now; first I have to learn elementary physics, so the first thing I will be writing will be Mechanics for Mathematicians.
So then people would say, Ah, so you're going to be writing about symplectic structures, or something of that sort. And I would have to say, No, I'm not trying to write a book about <em>mathematics</em> for mathematicians, I'm trying to write a book about <em>physics</em> for mathematicians; of course, symplectic structures will eventually make an appearance, but the problem is that I could easily understand symplectic structures, it's elementary mechanics that I don't understand.
Then people would look at me a little strangely, so I'd better explain what I mean. When I say that I don't understand elementary mechanics, I mean, for example, that I don't understand this:
<pre>
:......,
:......,
:......,
:......,
:......,
:......, ;;;;
:......, ,..,
:......, ,..,
##########################################################
/\
. .
.... </pre>Of course, everyone knows about levers. They are so familiar that most of us have forgotten how wonderful a lever is, how great a surprise it was when we first saw a small body balancing a much bigger one. Most of us also know the law of the lever, but this law is simply a quantitative statement of exactly how amazing the lever is, and doesn't give us a clue as to why it is true, how such a small force at one end can exert such a great force at the other.
</blockquote> tag:metafilter.com,2014:site.143330Sat, 04 Oct 2014 15:38:13 -0800WolfdogTake that, Keanu Reeves.
http://www.metafilter.com/143228/Take%2Dthat%2DKeanu%2DReeves
<a href="http://www.autostraddle.com/rebel-girls-mapping-power-privilege-and-oppression-254794/">Privilege and oppression explained through math</a> - specifically, matrices and Venn diagrams. tag:metafilter.com,2014:site.143228Wed, 01 Oct 2014 10:05:31 -0800divabatTotally Freaking Out About Peg + Cat
http://www.metafilter.com/143036/Totally%2DFreaking%2DOut%2DAbout%2DPeg%2DCat
<a href="http://pbskids.org/peg/">Peg + Cat</a> is an <a href="http://www.awn.com/news/fred-rogers-cos-peg-cat-wins-3-daytime-emmys">Emmy award-winning</a> cartoon from PBS, featuring the adventures of a young girl and her feline friend, using the power of math to <a href="https://www.youtube.com/watch?v=e3mLoFndR6M">solve</a> Really Big Problems. The show, created by kid TV and Broadway veterans <a href="http://parade.condenast.com/255784/scottneumyer/peg-cat-creators-jen-oxley-billy-aronson-talk-making-math-fun-animation-inspiration/">Jen Oxley & Billy Aronson</a>, not only gives preschoolers an introduction to practical mathematics, it's also <a href="http://www.avclub.com/tvclub/empeg-catem-104101">surprisingly entertaining for adults</a>. tag:metafilter.com,2014:site.143036Wed, 24 Sep 2014 18:45:58 -0800murphy slaw