/sci/ - Science & Math

Become one of us brother, cast away your consciousness. I promise, you will be much happier

:^)

>>12420004
no

>>12419233
I'm working in harmonic analysis. Give me ONE reason to learn category theory.

>>12420527
because you're working in the category of faggots

>>12420532
if that would be true, I would know c*****y theory, as it is the domain of trannies, faggots AND niggers.

>>12419233
>category theory
Is it an anglo thing?
I've never heard of it in university or seen it mentioned in textbooks that aren't explicitly about the subject.

>>12420559
we learn group theory in france

>>12420004
>>12419233
Don't fall for the NPC trap.

To address whatever little seriousness may be in the OP, I'll remind you it's a __science__ & math board. There are plenty of brainlet fields among the natural sciences.

>>12419233
Any good resources to learn abstract algebra?

>>12420824
i like saracinos book. very good explanations and examples. a lot of topics too, you only need the first half of the book for an intro undergrad class

>>12421029
thanks

>>12419233
i know OP. It sickens me.

>>12419233
I have never studied mathematics beyong high school graphing. Y=mx+b baby.

>>12421092
lmaooooo i've never studied algebra in the slightest
i'm actually kinda interested in trying just for the lulz

>>12420527
harmonic analysis has plenty of applications in algebraic settings, such as representations. If you want to do any of that you need the language of category theory.

>>12420559
its a higher math thing

>>12421105
basic algebra is fun, but math gets terrible real fucking fast once you hit shit like calculus and linear algebra. you have to actually enjoy math otherwise you'll want to slit your wrists.

>>12420532
I laughed out loud, loud enough that my wife asked me what I was laughing about, and I had to explain to her why it wasn't worth an explanation.

>>12420559
it's a masturbatory thing for people who love utilizing all the convoluted and obtuse terminology they had to memorize for their research papers.

>>12419233
enlighten this heathen please. im precalctard

>>12420824
>>12420824
aluffi

>>12421950
Is this a good book to start with if I don't have any background in Linear Algebra, but I do have experience with Analysis?
I've heard in some math discords that the book is meme tier since the exercises are quite trivial, is it true?

>>12421963
The exercises are pretty easy, but its a good into to the subject. I wouldn't say they're all trivial, but you shouldnt have to put all too much work into them.

>>12419233
>calls people NPCs for not being interested in his spergy branch
>posts the dumb frog

>>12421106
But they are just repetition of the results from real harmonic analysis, they really don't bring anything new to the table. What is a tangeble benefit of knowing cat. theory for pure analysist?

>>12419233
>How is this possible?
I'm not really into science anon.

>>12420560
Yes, group theory, rings and all that I've learned in first semester linear algebra.
But category theory looks like an abstraction of that.

>>12419233
Can Iearn it with my linear algebra and calculus knowledge? I don't know how to proof tho

>>12422384
>what’s the benefit for a pure analyst
More than you’d think. One neat example is understanding results related to interpolation space. A lot of the results due to Reisz have a natural category theoretic questions which admit both more generality to interpolation and well as giving precise succinct formulations. You’ll find category theory show up pretty often when you want to do analysis on weird spaces that you need the power of structure to comment on a priori.

>>12419233

>>12423334
failed quads

bump

>>12422710
Yeah. Read aluffi Algebra chapter 0. It has a set of preliminaries you can go through at the start.

>>12421233
This picture makes me feel retarded.

bump