What's your favorite branch of math?

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You are currently reading a thread in /sci/ - Science & Math

You are currently reading a thread in /sci/ - Science & Math

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What's your favorite branch of math?

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>>7784433

Complex Geometry

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Algebra

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>>7784433

set theory, it's also the most useful desu

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>>7784443

>it's also the most useful desu

No that would probably be arithmetic.

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>>7784433

Statistics

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Number theory

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>>7784433

Calculus because muh Vector Calc.

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>>7784433

Calculus because i like drawing the funny long S symbol

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Inb4 some meme field like "topology"

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>>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

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>>7784433

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

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>>7784596

>homotopy type theory

No meme math, please.

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>>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?

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>>7784433

>With [math]A, B, C[/math] not all zero.

A true algebraist would just write

>With [math]ABC\neq 0[/math].

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>>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.

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>>7784689

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

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>>7784433

math is just conventions

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the theory of trees

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>>7784469

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

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>>7784433

not really a branch but cryptography

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Dynamical Systems.

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>>7784443

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

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K-Algebraic Twisted-Knot Theory

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Where would nonlinear pde be in that list?

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>>7784804

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

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>>7784433

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

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>>7784471

â†‘ this â†‘

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>>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]

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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)

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>>7784700

Not ALL zero.

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>>7784889

Formal verification, security and shit.

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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

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>>7784924

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

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stochastic processes

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Goatology

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48Ã·2(9+3)ology

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Banach spaces

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>>7784700

retard

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>>7785435

Penguinology has far more applications breh

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>>7784689

> Topology

>Functional Analysis?

Kek. Quit baiting mate

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>>7784433

Triple integrals.

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>>7785650

>2016

>not using duckology and its applications to discrete maths

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>>7784689

Fuck this post. Combinatorialist out!

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>>7784689

>Their's

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>>7785780

>inb4 "gb2 /g/"

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Barnett's spaces of triple integrable functions

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>>7785780

combinatorialist, huh?

repsect

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>>7786101

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

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>>7784689

excellent

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>>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"?

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Quantum linear multivariable polydimensional algebraic analysis

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>>7784793

trees are actually pretty cool

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>>7784488

Why would topology be a meme field?

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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.

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>>7786421

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

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>>7786469

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

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>>7786471

Lol okay I get it now.

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>>7786101

>combinatorics

>graph theory

>underdeveloped

literally what

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

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Spoon theory.

>read the wiki

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>>7784471

this desu senpai

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>>7784700

false algebraist detected

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>>7784433

calculation of phononesa and lambdoma i find very interesting

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>>7784846

Combinatorics and Number Theory desu

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>>7786101

They do in my uni

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>>7784438

This, together with Algebraic Geometry

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>>7786621

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

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>>7784433

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

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>>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

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Inter tech-mÃ¼hle space timey whimey twistey turney goobledy doobledy theory

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>>7785780

>Combinatorics

>A real field

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>>7788876

>implying algebraic combinatorics isn't a field

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>>7788876

>field

>a real field

>a real field field

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>>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.

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>>7787499

nigga how u kno to working in integral domain

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Bayesian statistics

Please don't bully me.

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>>7789770

superior graph coming through

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