azatoth Posted June 4, 2010 Share Posted June 4, 2010 Link to comment Share on other sites More sharing options...
Guest Super lurker ultra V12 Posted June 4, 2010 Share Posted June 4, 2010 Schrödinger! Link to comment Share on other sites More sharing options...
chassis Posted June 4, 2010 Share Posted June 4, 2010 I half kinda wish I was in maths. I mean it'd be a shit ton of work but you'd be badass. Link to comment Share on other sites More sharing options...
azatoth Posted June 4, 2010 Share Posted June 4, 2010 i don't understand that equation, but apparently it was the bomb and predicted the existence of anti-electrons and therefor antimatter. Link to comment Share on other sites More sharing options...
chassis Posted June 4, 2010 Share Posted June 4, 2010 i don't understand that equation, but apparently it was the bomb and predicted the existence of anti-electrons and therefor antimatter. Schrödinger! Link to comment Share on other sites More sharing options...
azatoth Posted June 4, 2010 Share Posted June 4, 2010 it's the dirac equation. paul dirac doesn't get enough love, probably one of the most brilliant physicists of the 20th century. Link to comment Share on other sites More sharing options...
chassis Posted June 4, 2010 Share Posted June 4, 2010 But Schrödinger has a cat and therefore is naturally going to be more popular. On the internet anyway. Link to comment Share on other sites More sharing options...
azatoth Posted June 4, 2010 Share Posted June 4, 2010 i'll admit that if i ever have a cat, i am going to name him schrödinger. Link to comment Share on other sites More sharing options...
GORDO Posted June 4, 2010 Share Posted June 4, 2010 I studied these things in (modern) Algebra II but i'm a math major, i'm curious why is he taking u p this courses/topics. I started studying mathematics at university this year, my aim is to get a PhD what's your main area of interest? Link to comment Share on other sites More sharing options...
Guest Super lurker ultra V12 Posted June 4, 2010 Share Posted June 4, 2010 it's the dirac equation. paul dirac doesn't get enough love, probably one of the most brilliant physicists of the 20th century. sorry for getting the two mixed, I know very little about quantum mechanics I studied these things in (modern) Algebra II but i'm a math major, i'm curious why is he taking u p this courses/topics. I started studying mathematics at university this year, my aim is to get a PhD what's your main area of interest? set theory and mathematical logic, but I'm still very undecided about what to choose next year yours? Link to comment Share on other sites More sharing options...
National Park Posted June 4, 2010 Share Posted June 4, 2010 oops Link to comment Share on other sites More sharing options...
GORDO Posted June 4, 2010 Share Posted June 4, 2010 it's the dirac equation. paul dirac doesn't get enough love, probably one of the most brilliant physicists of the 20th century. sorry for getting the two mixed, I know very little about quantum mechanics I studied these things in (modern) Algebra II but i'm a math major, i'm curious why is he taking u p this courses/topics. I started studying mathematics at university this year, my aim is to get a PhD what's your main area of interest? set theory and mathematical logic, but I'm still very undecided about what to choose next year yours? I like analysis and probability, thinking about moving more into applied mathematics so maybe one day I can get a job outside the academy cocoon. Link to comment Share on other sites More sharing options...
ericsosh Posted June 4, 2010 Share Posted June 4, 2010 Category theory is where it's at y'all. You get to draw all kinds of shiny diagrams an' shit. Link to comment Share on other sites More sharing options...
Joyrex Posted June 4, 2010 Share Posted June 4, 2010 Math - How's it fucking work? Link to comment Share on other sites More sharing options...
jules Posted June 4, 2010 Share Posted June 4, 2010 Math - How's it fucking work? Link to comment Share on other sites More sharing options...
vertsk8er419 Posted June 4, 2010 Share Posted June 4, 2010 ^^ i'm fucking terrible in the maths. i guess you could call me right-brained? Link to comment Share on other sites More sharing options...
Cornflakes002 Posted June 4, 2010 Share Posted June 4, 2010 ^^^ I tend to just run away when theres to many symbols after numbers Link to comment Share on other sites More sharing options...
Guest Super lurker ultra V12 Posted June 5, 2010 Share Posted June 5, 2010 I like analysis and probability, thinking about moving more into applied mathematics so maybe one day I can get a job outside the academy cocoon. do you teach currently? Category theory is where it's at y'all. You get to draw all kinds of shiny diagrams an' shit. how does one approach category theory? Link to comment Share on other sites More sharing options...
Guest Funktion Posted June 5, 2010 Share Posted June 5, 2010 DID SOMEONE SAY MY NAME? Link to comment Share on other sites More sharing options...
GORDO Posted June 6, 2010 Share Posted June 6, 2010 I like analysis and probability, thinking about moving more into applied mathematics so maybe one day I can get a job outside the academy cocoon. do you teach currently? I've been teaching as T.A. for the past few years, I might get my own course this semester. Link to comment Share on other sites More sharing options...
ericsosh Posted June 7, 2010 Share Posted June 7, 2010 how does one approach category theory? Category theory is used to study mathematical structures and the relationships between them. So it helps to be familiar with different kinds of structures, so you already know of some similarilities between structures, for example: bijections on sets are the same kind of functions as isomorphisms on groups. Category theory deals with this kind of similarities. It can get awfully abstract, but that's why it's fun. Link to comment Share on other sites More sharing options...
GORDO Posted June 7, 2010 Share Posted June 7, 2010 imo category theory isn't interesting at all, for a glimpse of it study more abstract algebra like module theory. Link to comment Share on other sites More sharing options...
ericsosh Posted June 7, 2010 Share Posted June 7, 2010 Category theory has some nice applications in computer science (functional programming borrows a lot of concepts from category theory), so that's why I got interested in it in the first place. And now I'm learning some category theory because I'm studying algebraic topology. I don't know anything about module theory though. Link to comment Share on other sites More sharing options...
GORDO Posted June 7, 2010 Share Posted June 7, 2010 can you elaborate on that? i find it hard to imagine how things from one of the most abstract areas of mathematics can have any sort of practical application. modules btw are kind of a generalization of a linear space. its theory studies morphism between modules and so on... lots of diagram chasing. i hate it. Link to comment Share on other sites More sharing options...
ericsosh Posted June 7, 2010 Share Posted June 7, 2010 can you elaborate on that? i find it hard to imagine how things from one of the most abstract areas of mathematics can have any sort of practical application. It makes sense to use the language of category theory to reason about pure functional programs. In fact, the functional programming language Haskell succesfully uses a construction from category theory, called monads, to encapsulate computations that do have side effects in a more or less pure manner. Anamorphisms, catamorphisms, intial algebras are also important concepts in functional programming: they are used to reason about folds, which are way to walk through a data structure (e.g. loop through a list) and perform some calculations on the data. Link to comment Share on other sites More sharing options...
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