One must be truly enamored of the internet that it allows one to find and read a copy of Bernhard Riemann’s doctoral thesis Habilitation Lecture (in English translation) at the University of Göttingen from 1854!
His brief paper has created a tsunami of mathematical work and research in the ensuing 156 years. It has ultimately become one of the seminal works in the development of the algebra and calculus of n-dimensional manifolds.
In the 1930s, a French mathematician began writing journal articles and books. His name was Nicolas Bourbaki. He didn’t exist.
Bourbaki was and is actually a group of brilliant and influential mathematicians, mostly French but not all, whose membership changes but whose collective purpose remains the same: to write about mathematical topics they deem important. Between 1939 and 1967 “he” wrote a series of influential books about these selected topics, collectively called Elements of Mathematics.
A mysterious, mostly anonymous group of writers publishing momentous things under a single name is just really cool. But don’t try to read any of his stuff unless you are an expert mathematician.
Instead, read a wonderful story by novelist and award-winning chemist Carl Djerassi, called The Bourbaki Gambit. What do you think happens when a group of scientists, being discriminated against for various reasons, team up and use the “Bourbaki” approach to try to get their latest discovery taken seriously?
Q: When did Nicholas Bourbaki quit writing books about mathematics?
A: When (t)he(y) realized that Serge Lang was only one person!
[youtube http://www.youtube.com/watch?v=jJQy2R6UT5U?wmode=transparent]
What I’ve found most interesting in many of these debates, including this one, is that though there is occasional discussion of building out additional infrastructure to provide additional capacity, there is generally never discussion of utilizing information theory to improve bandwidth either mathematically or from an engineering perspective. Claude Shannon is rolling in his grave.
Apparently, despite last year’s great “digital switch” in television frequencies from analog to provide additional television capacity and the subsequent auction of the 700MHz spectrum, everyone forgets that engineering additional capacity is often cheaper and easier than just physically building more. Shannon’s original limit is far from a reality, so we know there’s much room for improvement here, particularly because most of the improvement on reaching his limit in the past two decades has come about particularly because of the research in and growth of the mobile communications industry.
Perhaps our leaders could borrow a page from JFK in launching the space race in the 60’s, but instead of focusing on space, they might look at science and mathematics in making our communications infrastructure more robust and guaranteeing free and open internet access to all Americans?
Abstract
This is a brief announcement of our recent proof of global existence and rapid decay to equilibrium of classical solutions to the Boltzmann equation without any angular cutoff, that is, for long-range interactions. We consider perturbations of the Maxwellian equilibrium states and include the physical cross-sections arising from an inverse-power intermolecular potential r-(p-1) with p > 2, and more generally. We present here a mathematical framework for unique global in time solutions for all of these potentials. We consider it remarkable that this equation, derived by Boltzmann (1) in 1872 and Maxwell (2) in 1867, grants a basic example where a range of geometric fractional derivatives occur in a physical model of the natural world. Our methods provide a new understanding of the effects due to grazing collisions.
Surprisingly, to me, it ony has 4 students currently enrolled!! Having won a Fields Medal in August 2006, this is a true shock, for who wouldn’t want to learn analysis from such a distinguished professor? Are there so few graduate students at UCLA who need a course in advanced analysis? I would imagine that there would be graduate students in engineering and even physics who might take such a course, but perhaps I’m wrong?
Most of his ratings on RateMyProfessors are actually fairly glowing; the one generally negative review was given for a topology class and generally seems to be an outlier.
On his own website in a section about the class and related announcements we seem to find the answer to the mystery about enrollment. There he says:
I intend this to be a serious course, focused on teaching the material in the course description. As such, students who are taking or auditing the course out of idle curiosity or mathematical “sightseeing”, rather than to learn the basics of measure theory and integration theory, may be disappointed. I would therefore prefer that frivolous enrollments in the class be kept to a minimum.
This is generally sound advice, but would even the most serious mathematical tourists really bother to make an attempt at such an advanced course? Why bother if you’re not going to do the work?!
Fans of the Mathematical Genealogy Project will be interested to notice that Dr. Tao is requiring his Ph.D. advisor’s text Real Analysis: Measure Theory, Integration, and Hilbert Spaces. He’s also recommending Folland‘s often used text as well, though if he really wanted to scare off the lookie-loos he could just say he’ll be using Rudin‘s text.
The Los Angeles conference for all west-coast things Drupal. August 7 & 8, 2010 at UC Irvine
Constitutional debate continues over whether public schools should include biblical Armageddon alongside global warming in end-of-world curriculum. http://v.theonion.com/onionstudios/video/1368/640.mp4
In the last two years, at least 10 law schools have made their grading systems more lenient to give their students a better chance in a soft job market.
Is GPA tampering and grade inflation going too far with changes like this?
Even by the standards of continuum functional integrals we have hit a new low…
He really has a great sense of humor, doesn’t he?
Given it’s 1964 publication date, most of the notation is fairly standard from a modern perspective and it was probably a bit ahead of it’s time from a pedagogical viewpoint.
But tonight Twitter began to change the landscape of how Hollywood, and in particular the representation segment, does its day-to-day business.
It began with the news that Alyssa Milano’s ABC series ROMANTICALLY CHALLENGED, which premiered on April 19th earlier this year, had been cancelled. Michael Ausiello of the Ausiello Files for Entertainment Weekly broke the story online at 7:44 pm (Pacific) and tweeted out the news. Alyssa Milano saw the news on Twitter about an hour later, and at 8:45 pm, she tweeted out her disappointment to the world.
Just found out #romanticallychallenged was cancelled through Twitter! How crazy is that shit?
— Alyssa Milano (@Alyssa_Milano) May 14, 2010
Her agent/manager is going to have a fire to put out tomorrow, if it doesn’t burn itself into oblivion tonight! If anything, her agent typically could have or should have been amongst one of the first to know, generally being informed by the studio executive in charge of the project or potentially by the producer of the show who would also have been in that first round to know about the cancellation. And following the news from the network, Alyssa should have been notified immediately.
Typically this type of news is treated like pure commodity within the representation world. If a competing agent, particularly one who wanted a client like Alyssa, to move to their agency, they would dig up the early news, call her at home, break the bad news early and fault the current representative for dropping the ball and not doing their job. Further, the agent would likely put together a group of several new scripts (which the servicing agent either wouldn’t have access to or wouldn’t have sent her) and have them sent over to her for her immediate consideration. Suddenly there’s an unhappy client who is seriously considering taking their business across the street.
The major difference here is that it isn’t a competing agent breaking the bad news, but the broader internet! Despite the brevity of the less than 140 characters Ms. Milano had, it’s quite obvious that she’s both shocked and a bit upset at the news. We cannot imagine that she’s happy with the source of the news; it’s very likely that her representation got an upset call this evening which they’re currently scurrying to verify and then put out the subsequent fire.
Beyond this frayed relationship, there is also the subsequent strain on the relationships between representation and the overseeing studio executive(s), studio/network chief, and potentially further between the Agency and the Network over what is certain to be one of the more expensive television talent deals in the business right now.
We’re sure there will be a few more agents, managers, and attorneys who sign up for Twitter accounts tomorrow and begin monitoring their clients’ brands more closely on the real-time web.
[As a small caveat to all of this, keep in mind that the show was picked up in early August last year and only aired four episodes premiering in April of this year, so from a technical point of view, the show’s cancellation isn’t a major surprise simply given the timing of the pick-up and the premiere, the promotional push behind the show, or the show’s ratings. Nevertheless, this is sure to have an effect on the flow of business.]
Imagine having your back cut open, part of your spine removed, a stabilizing device that resembles a mini oil rig mounted on your back, the outer membrane of your spinal cord sliced open and experimental stem cells injected into it -- all for the advancement of science because it's not expected to benefit you.
