Peter Lax wins Abel Prize 40
otisaardvark writes "The prestigious Abel Prize, awarded annually for lifetime contributions to mathematics, has been awarded to Peter Lax [pdf]. Professor Lax, born in Hungary and currently at New York University, has made profound contributions to the theory of partial differential equations, most famously his reformulation of a large class of important PDES (so-called "integrable systems") in terms of Lax pairs of coupled, simplified equations. Read a summary of his achievements here [pdf]."
Re:who cares? (Score:2)
So yeah the mathematics may be evolving into somewhat more abstract; but that doesn't mean that application is not there for us.
Re:who cares? (Score:2)
Game theory? It came out of the Rand institute type research, with applications in mind from day one. The seminal paper was by Morgenstern who was an economist, and von Neumann who was a mathematician, physicist and computer scientist.
Re:who cares? (Score:1, Insightful)
Re:who cares? (Score:3, Insightful)
Partial Differential Equations are used in Physics for basically everything (as you mentioned). They are completely relevant to everything. Differential Equations are basically things which describe ra
Re:who cares? (Score:4, Insightful)
There is actually very little mathematics that is not applied. Group theory is very useful for quantum mechanics, and the Lebesgue measure is useful for crystallography. You admit that PDEs may be somewhat of an exception, but even that somehwat is wrong. Most complex models in engineering, physics, economics, and even sociology involve PDEs. But that's not all. Finding exact (which rarely exist) and numerical solutions to PDEs requires not only applied math, but concepts like Sobolev spaces, operator theory, and so much more. Lax's achievement in PDEs is the concept of Lax pairs, which are extremely abstract and require function theory to understand.
In short, all mathematics is useful. Applied math is useful because it gives us insights into the material world, and abstract math gives us insights into both applied math and sometimes even the material world.
Re:Wait what? (Score:2, Insightful)
I've heard many people wonder what use there is for math beyond its daily uses. However, if people always thought this way, we would not have advanced as a civilization. Someone may yet find a practical use for these "obscure" concepts. Many engineering and science students already know how useful partial differe
Re:Wait what? (Score:1)
Lax's work covers scattering theory, the theory of shock waves and Lax pairs which find their uses in fluid dynamics, quantum field theory and solid state physics.
Hardly obscure I'd say.
Re:Wait what? (Score:2)
Actually, for most of its lifetime, math has been directed by practical applications. Almost all distinguished mathematicians before the XX century were also top rate physicists.
People like Conway, Penrose and Witten are good examples.
Re:Wait what? (Score:5, Insightful)
Here is Lax's advive to young mathematicians [abelprisen.no]: "I heartily recommend that all young mathematicians try their skill in some branch of applied mathematics. It is a gold mine of deep problems whose solutions await conceptual as well as technical breakthroughs. It displays an enormous variety, to suit every style; it gives mathematicians a chance to be part of the larger scientific and technological enterprise. Good hunting!"
Re:Wait what? (Score:2)
Now you can mod him down...
Re:Wait what? (Score:3, Informative)
Lax's work may seem obscure, but it has practical applications that are very relevant for many people. Example: simulations in 3d computer games. Look here [lanl.gov] for more details.
Re:Wait what? (Score:1)
The Abel Prize (Score:5, Informative)
The Abel prize [abelprisen.no] was introduced as a sort of "Nobel Prize of math" where people are rewarded for results and achievements that have shown themselves to be of lasting value in the field. Alfred Nobel did not want a Nobel Prize in math since he himself saw little scientific value of math! The most prestigious prize in math before the Abel came into being is the Fields medal, but this prize is only given to younger mathematicians (belove the age of 40) that has made break-through results and show promise for the future. The Fields medal is handed out every 4 years while the Abel is handed out every year (first prize was handed out in 2003).
It would have been ironic for Abel if he were to know that such a huge money prize is to be given out in his name, when his whole life he had to live in poverty and fight to get time and money to do his scientific work. The irony of Abel's life is also that Abel himself finally got a professorship in Berlin; but too late, the letter was sent to him two days after his death.
Re:The Abel Prize (Score:1, Informative)
Re:The Abel Prize (Score:2, Informative)
Re:The Abel Prize (Score:1)
Re:The Abel Prize (Score:2)
I enjoy reading your comments generally and am surprised by the vehemence of this one.
Re:The Abel Prize (Score:2, Interesting)
Wiles? (Score:4, Interesting)
Question is, how much longer are they going to hold the award from Andrew Wiles of Fermat fame?
Re:Wiles? (Score:4, Informative)
Andrew Wiles will probably get the prize, but since the prize is very new, there are many important mathematicians to chose from. And even though Wiles is maybe the best known living mathematician to the general public (because of his solution of Fermat's theorem), among mathematicians Wiles is not consider the most dominant mathematician alive today (Serre, for instant, was generally seen as the natural choice for the first prize). Some of the possible worthy winners are also old and will maybe for this reason get the prize before Wiles which is still young and healthy.
Great another math class. . . (Score:1)
No (Score:5, Insightful)
Math is one of the few classes where you can learn something truly beautiful that is also useful. Few classes are more useful in day to day life. (reading, perhaps grammar)
Find a good math instructor. In grade school and somewhat in high school, teachers are people who hate math, and so they are unwilling to show you just how much fun it really is.
Re:No (Score:2)
Mathematics is not a science (neither is medicine) (Score:1, Interesting)
Re:Mathematics is not a science (neither is medici (Score:2, Insightful)
You also make the claim that medicine is not a science because "understanding the way a healing method works is irrelevant." This statement is not only untrue (if you want to achieve better healing methods than herbal remedi
Sorry to say, but he is right. (Score:3, Insightful)
[X] You are easily offended.
Re:Sorry to say, but he is right. (Score:1)
Re:Sorry to say, but he is right. (Score:1)
Re:Mathematics is not a science (neither is medici (Score:1)
Re:Mathematics is not a science (neither is medici (Score:1)
Re:Mathematics is not a science (neither is medici (Score:1)
If one instead define science to be the study of whatever can be studiet, with such scientific methods as falsification and use of Ockhams Razor, then math is provable scientific, as there are parts of math that can only be studied scientifically, because they are beyond proofs. As for engineering: It is a symbiont of science. Asking nature questions today r
Personally irrelevant, but still gratifying (Score:2)
Although this specific story is not one which I care about, it is in the general category shared by other stories which I very often definitely DO care about...and so it's good to know that