What's your favorite branch of math?

>>7784433
Complex Geometry

Algebra

>>7784433
set theory, it's also the most useful desu

>>7784443
>it's also the most useful desu
No that would probably be arithmetic.

>>7784433
Statistics

Number theory

>>7784433
Calculus because muh Vector Calc.

>>7784433
Calculus because i like drawing the funny long S symbol

Inb4 some meme field like "topology"

>>7784488
This is a troll, everyone ignore.

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>>7784482
>tfw still can't draw decent looking integral signs

the always end up either looking like an S or like a very slightly bent straight line

>>7784433
it is called homotopy type theory/ have you heard about it ?

>>7784596
>homotopy type theory
No meme math, please.

>>7784433
I like basic and general areas of mathematics; namely pure mathematics. Their's four big areas; algebra, analysis, geometry, and topology; number theory and arithmetic is scattered all elsewhere. So it's better to pin point your interests in four areas of mathematics instead of one.

Anyways its...

> Algebra
Abstract Algebra

> Analysis
Real Analysis

> Geometry
Differential Geometry

> Topology
Functional Analysis?

>>7784433
>With [math]A, B, C[/math] not all zero.
A true algebraist would just write
>With [math]ABC\neq 0[/math].

>>7784700
A true >90IQ would know that A,B,C not all zero actually translates to A^2 + B^2 + C^2 > 0, because A or B or C could actually be 0.

>>7784689
Functional analysis was where it all came together for me, felt like a pretty seamless blending of LA, analysis and topology.

>>7784433
math is just conventions

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the theory of trees

>>7784469
Fake maths for pussies that can't handle real maths.

>>7784433
not really a branch but cryptography

Dynamical Systems.

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>>7784443
Cool, another set theory bro. What field specifically are you into?

K-Algebraic Twisted-Knot Theory

Where would nonlinear pde be in that list?

>>7784804
I'm interested in this too, do you have any idea about post-degree employability if I study crypto?

>>7784433
I don't understand the equation next to "Analytic", anyone care to explain?

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>>7784471
↑ this ↑

>>7784924
y'' is an old way of expressing
[math]\frac{d^2 y}{dx^2}[/math]
so let u = y'' and the equation becomes
[math]\frac{d^3}{dx^3} \left ( \frac{1}{u^{2/3}} \right )=0[/math]

I probably like algebra the most, but I have been very impressed by the power of probability.
I think it has a stigma attached to it causing people with a "pure" bend (which sounds kinda stupid to begin with) to dismiss it as a nonrigorous or purely applied field whereas it yields without much effort some powerful theoretical results (for example, I remember a very elegant proof of the Radon-Nikodym theorem for the Lebesgue measure using a martingale convergence argument)

>>7784700
Not ALL zero.

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>>7784889
Formal verification, security and shit.

Graph theory

But then again I like anything about maths but usually am too stupid to fully understand it
Didn't have that feeling with graphs though

>>7784924
It's a compact way of writing: [math] 9(y'')^2 y''''' + 45y'' y''' y'''' + 40(y''')^3 = 0 [/math]

stochastic processes

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Goatology

48÷2(9+3)ology

Banach spaces

>>7784700
retard

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>>7785435
Penguinology has far more applications breh

>>7784689
> Topology
>Functional Analysis?
Kek. Quit baiting mate

>>7784433
Triple integrals.

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>>7785650
>2016
>not using duckology and its applications to discrete maths

>>7784689

Fuck this post. Combinatorialist out!

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>>7784689
>Their's

>>7785780
>inb4 "gb2 /g/"

Barnett's spaces of triple integrable functions

>>7785780
combinatorialist, huh?
repsect

>>7785780
Combinatorics and Graph Theory are too underdeveloped

>>7785786
>He thinks CS majors learn Combinatorics and Graph Theory

top keke

>>7786101
Well most CS majors take discrete which encompasses the very basics of these fields.

>>7784689
excellent

>>7786129
Combinatorialist here. That's stupid. I borrow heavily from computer science, especially data structures and algorithms, in my work.

It's true you barely cover the basics in a discrete math course, but why be so divisive?

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>>7784433

Seeing conic sections again got me thinking about cases. But I was also thinking about a few degenerate cases.

Can /sci/ think of any more degenerate cases, where the cone is "nice"?

Quantum linear multivariable polydimensional algebraic analysis

>>7784793
trees are actually pretty cool

>>7784488
Why would topology be a meme field?

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>>7786318

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>>7786134

Because most CS majors act like they are masters of the subject after taking a single discrete math course while barely grasping the material in it.

>>7786421
I've seen this /sci/ meme before but I don't get it. Care to explain? Is this a real book or something?

>>7786469
https://www.crcpress.com/Discrete-Mathematics-with-Ducks/belcastro/9781466504998

>>7786471
Lol okay I get it now.

>>7786101
>combinatorics
>graph theory
>underdeveloped

literally what

functional analysis right now, but i'm a physicist so what do i really know rofl

Spoon theory.
>read the wiki

>>7784471
this desu senpai

>>7784700
false algebraist detected

>>7784433

calculation of phononesa and lambdoma i find very interesting

>>7784846
Combinatorics and Number Theory desu

>>7786101
They do in my uni

>>7784438
This, together with Algebraic Geometry

>>7786621
They are though, by virtue of not having been around as a traditional field for as long as more classical subjects.

>>7784433

None. They are all absolutely useless to me. Passed differential equations with an A, btw.

>>7788233
>I aced an engineering class on plug-chugging some memes from diff eqs

good job, you're great and mindlessly repeating like a good engineer :^)

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>>7787738

see >>7786129

Inter tech-mühle space timey whimey twistey turney goobledy doobledy theory

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>>7785780
>Combinatorics
>A real field

>>7788876
>implying algebraic combinatorics isn't a field

>>7788876
>field
>a real field
>a real field field

>>7787719
>>7784443
Are you broken?

>>7785651
toplelogy is definitely one of the pillars of math. you will use results of it in some form in nearly every graduate level pure maths class. we used it in model theory (logic), it's used a lot in homotopy, algebraic geometry (and also in both of their connections to number theory), not to mention some complex analysis, and the theory of manifolds as a whole.

>>7787499
nigga how u kno to working in integral domain

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>>7785754

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Bayesian statistics

Please don't bully me.

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>>7789770
superior graph coming through