/sci/ - Science & Math

[Anonymous No.4504514]

Hey /sci/

What's your favorite division of mathematics, what is it's real-world application, and why do you like so much?

[Anonymous No.4504534]

>>4504514

The reason I ask is that I don't have a clear grasp over which fields of mathematics apply to which real-world occupations/problem-solving skills.

Not necessarily trying to decide which to study for my future or anything; general curiosity.

[Anonymous No.4504540]

i like number thoery, it's mostly, but not totally, inapplicable to anything

[Anonymous No.4504543]

>>4504540

What aspects/Why do you enjoy it?

[Anonymous No.4504544]

>fractal geometry
>makes people shit their pants
>it makes me shit my pants

[Anonymous No.4504572]

>>4504544

Is it used in any occupations today?

[Anonymous No.4504584]

>>4504514
*its
And I like number theory as well. It's so fucking beautiful and elegant. It's just the coolest aspect of math. There's something beautiful and mysterious about the primes and the Collatz conjecture. Also, it's applied to the real world through cryptography.

[Anonymous No.4504591]

>>4504572
3d computer modeling

economics (lol)

[Anonymous No.4504596]

>>4504591
also it's used in physics for self scaling stuff

[Anonymous No.4504598]

>>4504544
Oh Fibonacci numbers, how you are oversensationalized

[Anonymous No.4504655]

Graph theory is my current favourite. Can be very useful to show certain aspects of connected things. For instance network routing / path finding, searching, social relations or AI stuff... But also has very "beautiful", precise formulas and proves. If you look closely, then you find graphs in the real world everywhere.

Stochastic, if you can master it, is probably also a very powerful one, being able to predict things reliably can make you very rich and influencial. But personally never couldn't quite get a hang of it.

During high school I liked linear algebra / analytic geometry quite a lot. And all the vector and matrix stuff turned out to be very, very handy for robotics and 3d simulations.

[Anonymous No.4504668]

>>4504655
is Stochastic used in the stock market or...?

I'm a bit obsessed with finding real-world applications for mathematics rather than using math as ab interpretive medium to understand the real world. Unfortunately, there are so many maths, and I am not sure which are immediately applicable.

[Anonymous No.4504677]

Combinatorics!
Fuckin' countin' shit.

[Anonymous No.4504696]

graph theory

[Anonymous No.4504703]

Finite group theory, as the proofs are so slick.
Real world applicability, probably in the future.

[Anonymous No.4504710]

Lie Algebras
Linear Algebra
Differentiable Manifolds
Ring Theory
Prime Distribution
Dub/Trip Int W/ Partial Differentials.

Favourite objects.

[Anonymous No.4504778]

>>4504668

Although it might sound funny, they are indeed used heavily in the stock market. Wikipedia: "The financial markets use stochastic models to represent the seemingly random behaviour of assets such as stocks, commodities and interest rates. These models are then used by quantitative analysts to value options on stock prices, bond prices, and on interest rates, see Markov models. Moreover, it is at the heart of the insurance industry."

And of course, stochastics is also heavily used for AI. Also your xbox360 online games will funnily use stochastics for your ranking :) (see TrueSkill(TM) / Bayesian inference).

[Anonymous No.4504817]

>>4504696

[Anonymous No.4504822]

algebraic topology.
can be used in robotics

[Anonymous No.4504835]

>>4504710
you looked up a list of math topics on wikipedia and posted a few. it is unlikely you would include both lie algebras and multiple integrals in the same list.

[Anonymous No.4504839]

What do I need to know in order to understand set theory and graph theory?

[Anonymous No.4504860]

>>4504839

nothing more than a brain for starting, as they both start from scratch.

[Anonymous No.4504880]

>>4504860

What texts (online or other) can you point towards in beginning graph theory?

I can gather from the nature of the topic that it's not something one can learn through autodidact, but I'd enjoy trying

[Anonymous No.4505018]

>>4504880

Not to take away from the other discussions on /sci/, but..
Bamp.

[Anonymous No.4505032]

>>4504880
I don't know anything about graph theory, but I think you should just get a book on it. Check amazon for a cheap dover book.

[Anonymous No.4505056]

>>4505032
>okay.jpg

[Anonymous No.4505058]

As an econfag, I have a love of statistics.

I just wish undergrad statistics (and math in undergrad econ in general) wasn't such baby math. Fucking failed business majors ruining my love of numbers...

[Anonymous No.4505062]

>>4504860

Yep, you're right. Though sometimes some set and group theory can be helpful in advance as terms from this field happen to occure again in graph theory, maybe in slightly different, but similar contexts.

>>4504880

The book "Graph Theory" by Diestel explains everything from the scratch and has everything in it. The proves are sometimes a little short, so you might need some time for every page to read. Google for "graph theory diestel pdf", the third of four versions seems to be quite easily available.

[Anonymous No.4505068]

>>4505062

>graph theory diestel pdf

Thank you for that instant gratification

captcha: I love you.

[Anonymous No.4505195]

>>4504778

Can anyone tell me what pre-reqs are needed for stochastic mathematics?

[Anonymous No.4505208]

Probability and Set Theory used in CS/AI

[Anonymous No.4505216]

>>4505208
Is there a tree diagram anywhere that displays the successive nature of math?

i.e. algebra -> geometry -> trig -> ...... -> hardest math ever

[Anonymous No.4505236]

>>4505058
Hear ye brother. Baby math made it incomprehensible and really hard. It's a system built for rote learning instead of understanding.

[Anonymous No.4505240]

>>4505216

[Anonymous No.4505250]

>>4505240
lol wrong one

[Anonymous No.4505267]

>>4505250
Thank you!