Mindblowing fact

Schrödinger!

I half kinda wish I was in maths. I mean it'd be a shit ton of work but you'd be badass.

i don't understand that equation, but apparently it was the bomb and predicted the existence of anti-electrons and therefor antimatter.

  On 6/4/2010 at 3:21 PM, azatoth said:

i don't understand that equation, but apparently it was the bomb and predicted the existence of anti-electrons and therefor antimatter.

  On 6/4/2010 at 3:14 PM, Super lurker ultra V12 said:

Schrödinger!

it's the dirac equation. paul dirac doesn't get enough love, probably one of the most brilliant physicists of the 20th century.

But Schrödinger has a cat and therefore is naturally going to be more popular. On the internet anyway.

i'll admit that if i ever have a cat, i am going to name him schrödinger.

  On 6/4/2010 at 1:54 PM, Super lurker ultra V12 said:

  On 6/4/2010 at 2:40 AM, GORDO said:

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?

  On 6/4/2010 at 3:27 PM, azatoth said:

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

  On 6/4/2010 at 5:06 PM, GORDO said:

  On 6/4/2010 at 1:54 PM, Super lurker ultra V12 said:

  On 6/4/2010 at 2:40 AM, GORDO said:

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?

oops

  On 6/4/2010 at 6:30 PM, Super lurker ultra V12 said:

  On 6/4/2010 at 3:27 PM, azatoth said:

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

 

  On 6/4/2010 at 5:06 PM, GORDO said:

  On 6/4/2010 at 1:54 PM, Super lurker ultra V12 said:

  On 6/4/2010 at 2:40 AM, GORDO said:

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.

Category theory is where it's at y'all. You get to draw all kinds of shiny diagrams an' shit.

Math - How's it fucking work?

  On 6/4/2010 at 8:43 PM, Joyrex said:

Math - How's it fucking work?

^^

i'm fucking terrible in the maths. i guess you could call me right-brained?

^^^

I tend to just run away when theres to many symbols after numbers

  On 6/4/2010 at 7:19 PM, GORDO said:

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?

  On 6/4/2010 at 8:05 PM, ericsosh said:

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?

DID SOMEONE SAY MY NAME?

  On 6/5/2010 at 7:55 PM, Super lurker ultra V12 said:

  On 6/4/2010 at 7:19 PM, GORDO said:

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.

  Quote

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.

imo category theory isn't interesting at all, for a glimpse of it study more abstract algebra like module theory.

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.

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.

  On 6/7/2010 at 10:05 PM, GORDO said:

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.