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/sci/ - Science & Math

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6270256 No.6270256 [Reply] [Original]

What's your favourite of area of mathematics and why isn't it graph theory?

>> No.6270274

>graph theory

That's called calculus. Calculus is the art of describing graphs, e.g. where is the maximum or is it convex/concave etc.

>> No.6270283
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6270283

>>6270274
This is surely a ruse, right? Come on anon, this isn't /v/.

>> No.6270289

my favorite area of mathematics surely is anything that combines topology and linear algebra.

graph theory is not funny.
Arithmetics aren't fun either. Past a certain level, it just becomes boring

>> No.6270292

Might end up being differential geometry,because muh vidya.

>> No.6270295

>>6270289
>anything that combines topology and linear algebra.
>graph theory is not funny.

Maximum overderp.
yfw it turns out that graph theory makes heavy use of both topology and linear algebra

>> No.6270298

>>6270292
>implying you know what differential geometry is

That word doesn't mean what you think it means.

>> No.6270297

Riemann geometry, deRham cohomology, typed lambda caculi, and some specific physical theories.

>> No.6270301

>>6270297
(cont.)
oh, and I could answer the second part
>why isn't it graph theory?
becuase the proofs (like in number theory) are often gimmicks and there are too many tricks.
I like combinatorics sometimes, but only if it's cast in a weird abstract light.

>> No.6270307

>>6270301
>becuase the proofs (like in number theory) are often gimmicks and there are too many tricks.

Proof by induction is too hard for you?

>> No.6270313

I like solving for x. Always an intellectual challenge. Solving for y is cool too I guess.

>> No.6270312

algebraic geometry

>encoding computer programs as systems of polynomials
>breaking codes with just a single ciphertext
>having precise solutions to machine learning & statistical problems

it's linear algebra on roids

>> No.6270314

>>6270301
>becuase the proofs (like in number theory) are often gimmicks and there are too many tricks
This is probably my biggest gripe with it. I often feel like it goes against the "picture is not a proof" but then it goes and does just that. Also, combinatorics plays a big part in it, and I really dislike combinatorics.

I'm curious about design theory we're about to take now. From what I understand, it's a pretty young field.

>> No.6270317

>>6270314
>"picture is not a proof"

How old are you? 12? In higher math it is sufficient to outline the idea of a proof, when it is obvious how to formalize the argument.

>> No.6270326

>>6270298
>"Differential geometry is a mathematical discipline that uses the techniques of differential calculus and integral calculus, as well as linear algebra and multilinear algebra, to study problems in geometry.
Geometric modeling (including computer graphics) and computer-aided geometric design draw on ideas from differential geometry."

I´m a CS student btw

>> No.6270327

>>6270326
>I´m a CS student btw

We can see that. Please stop talking about things you don't understand.

>> No.6270358

>>6270317
Obviously you haven't done any significant graph theory.

Idea for a proof that takes a couple of hours to prepare for and then another few to actually formulate it is in no way obvious.

>> No.6270362

>>6270358
>implying "a couple of hours" is long

Either you've never seen non-highschool math or your IQ is just too low for higher math. A couple of hours is nothing. A real proof takes years of preparation.

>> No.6270364

>>6270362
I was talking about known proofs that have been perfected through the years, not someone attempting it for the first time. In either case, it is surely not obvious, especially if you need to delve into other fields.

>> No.6270369

>>6270364
Welcome to university math. If it gets too hard for you, you can always switch to biology.

>> No.6270402

>>6270256
Mine is graph theory as well. So much shit can be done in graph theory and so much more elegantly as well. Not to mention that there's a ton of unsolved problems and shit that's been proven to be np-hard in the branch.

>> No.6270436

>>6270369
no one is gonna bite you know

>> No.6270438

>>6270436
Bite what? You're making no sense.

>> No.6270447

Why are you silly people hating on each other here?
Rather talk about math constructively. Thanks!

>> No.6270449

I made a kitten berserker for my first character. 2 cute

>> No.6270451

>>6270447
This. Why argue as if you've got a name to uphold when we're clearly all anonymous posters?

It seems the disagreement all comes down to the out of context subjective opinion over whether several hours to work out a proof is a long time or not.

I think the interesting approaches used in graph theory keep people thinking outside the box. This as opposed to being given some starting point and something to prove via manipulations.

>> No.6270460

Optimization and control theory!
> Why not graph theory?
it's k, but doesn't do as cool stuff as controls

>> No.6270572

>>6270301
>>6270314
I third this opinion. It's fun to see some of those tricks work out. But I don't get the feeling that I'm seeing techniques that will be applicable to some other problems

>> No.6270641

I like number theory.

>inb4autist

>> No.6270683

Riemannian Geometry, some Algebra and measure theoretical probability theory are probably my favourite. I also enjoy category theory, at least the babby stuff.
I've never tried graph theory.

>> No.6270687

I like the area of math that deals with paradoxes like Monty Hall, Schrödinger's cat and 0.999... = 1.

>> No.6270696

>>6270289
graph theory is a SHITLOAD of linear algebra and algebraic topology.

my favorite areas of mathematics also involves a lot of algebra (a lot of group theory, all the generalizations of linear) and a fuckton of topology: based functional and harmonic analysis.

>> No.6270704

>>6270641
let's be real, number theory is pretty autist. but not nearly as autist as logic and first principles.

>> No.6270707

>>6270687
But those aren't paradoxes.
Is that some kind of, like, meta-paradox? Deep, man.

>> No.6270708

>>6270707
He was baiting.