/sci/ - Science & Math

>Higher level math like algebraic/differental geometry, algebraic/geometric topology, manifold theory, etc is much more interesting
They are the exact same shit.

>>4923656

Im an undergrad I don't find my babby undergrad work that fun.

I don't know much beyond it, but my favorite math class so far was stochastic processes.

>>4923660
What do you mean? The proofs or the first principles?

It's the same in every field.

Do you think physics majors find classical mechanics interesting?

Do you think chemfags enjoy basic ochem?

Do you think the biologists like memorizing shit?

Only autists and Asians like bland exercises

undergrad math is boring

There are mathematicians who still focus on and publish papers on those branches. To ignore them or consider proofs annoying shows that you are the type of person who will only ever practice mathematics and never actually create it. I.e. a sciencefag.

Eat dick.

>>4924673
I'd love to see a journal of point-set topology or the representation theory of the circle group.

>>4923680
Classical mechanics of complex situations is no less beautiful than more advanced methods, indeed I'd argue it's often more so because it's so mathematically elegant.

>Applied math master race reporting in

I don't like analysis much, but there are plenty of interesting problems in elementary math. Especially baby topology, imo. Things like the long line, shrinking (or expanding) wedge of circles, etc are awesome.

>>4924673
>mfw all the major advances in mathematics have been made by scientists trying to figure real shit out
- Euclid
- Laplace
- Fourier
- Newton
- Lagrange
- Levi-Civita
- among soooo many others...

>>4924731
Try naming one who lived past 1900 smart guy.

>>4924717
It's a naturally interesting subject, and the covariant field theory formalism is elegant, although there are no open theoretical problems or research topics.

I think that's what he is trying to convey.

>>4924718
>being a code monkey
>"master race"

>>4924731
Name one breakthrough in science that has led to a breakthrough in mathematics.

>>4924737
There certainly are. You just don't know them because they haven't been discovered yet. That's why it's called RESEARCH.

>>4924741
No, there are none. As a physicist who did an undergrad thesis on the BV-complex formalism of CM, I can safely confirm this to you. I am not including fluid dynamics or other nonsense, just the pure theory. There is nothing to add to the action functional or the symplectic structure.

The topics available in the applied area are mainly in computational approaches and optimization to various n-body problems.

>>4924743
>The brachistochrone problem
Calculus of variations

>you uneducated nigger

I just want to be clear, I am >>4924741 but not >>4924717 .

I was taking OP and the guy I responded to to be speaking about the intellectual interest the fields produce, not how active they still are. >4924717 is obviously wrong, any "active research" in true classical mechanics is basically just engineering.

>>4924751
If you think we can be absolutely sure that we have found the most elegant, efficient, and powerful formulation of everything in mechanics, or any field, you are an idiot.

>>4924743
all of calculus
almost all of geometry
most of functional analysis
most of topology
most of commutative algebra
most of operator algebra
most of group theory
most of vector algebra

All came from people working in science

For a modern example, some huge contributions to Galois theory came from physicists studying spontaneous symmetry breaking

>>4924736
>Anything in wavelet analysis
- Haar
- Gabor
- Morlet
- Daubechies
- Mallat

>>4924743
You do realize that the Heat Equation (which totally comes from physics) was used to model diffusive curvature and was the basis for the solution of the Poincare Conjecture, right?
>You double nigger

>>4924773
>If you think we can be absolutely sure that we have found the most elegant, efficient, and powerful formulation of everything in mechanics
I don't think you understand what classical mechanics is.

It is the theoretical framework of Newton's laws. It is empirical. It is not compatible with any new or existing observations on the atomic scale nor the galactic scale, hence the introduction of topics such as quantum mechanics, general relativity, and quantum field theory. These are separate subjects and their dynamics are completely different. Research in classical mechanics has halted since the 1800s after the introduction of variational calculus.

Please provide your level of education so I can confirm I am not arguing with someone who has the strong case of the Dunning-Kruger effect.

> or any field
I have not claimed such.

>>4924751
why do people (especially undergrads/new graduates) always quote the topic of their stupid held hand research project as if anyone outside of that specialization should be expected to know what the fuck they're talking about?

you just exude unwarranted superiority

>category theory
>baby math

gtfo faggot. But then again, you did say you like algebraic geometry, which is pretty much the best mathematics of the 20th century imo. Now faghole homotopy theory is so famous, but I find that like ripping my brain open on the fat girl in my class' crotch.

>>4924811
If you knew anything about applied mathematics, you would know BV/BRST formalism is the standard method to mathematically and rigorously define a theory in physics. It's very well known, and there's about 20 or so Wikipedia articles on it.

>>4924829
>If you knew anything about applied mathematics
I don't, I try to stick to pure math.

>>4924850
Well, it's technically pure math too. I stated applied as it's often used in physics, but it's a major part of Lie theory as BRST in general involves the study of the algebroid <span class="math">L_\infty[/spoiler].

http://en.wikipedia.org/wiki/Lie_algebra_cohomology#Definition

>>4924850
And this is why you are a tremendous faggot

>>4924922
;_;

>>4924975
Lol wannabe scientists discuss the sense of math and everything

>oh look, I just passed my babby-tier algebra course where we proved the first isomorphism theorem. Shit was so cash

algebraic topology is the only real branch of maths

By the way guys, is computational algebraic geometry any fun? I'm thinking as an engineer I would have an easier time getting into grad school in computational stuff, and as algebra and topology are my favourite branches, algebraic geometry looks interesting to pursue.

>>4925515
Your career will consist of being a code monkey slave to string theorists by computing superpotentials for a bunch of sigma models that you do not understand

>>4923656
You just included category theory in the babby list for extra troll value, did you not?

>>4924731

>Euclid
>Science

Your first example is supposed to be the strongest, bro. Otherwise people don't bother reading further.

>higher level math

OP has no idea what that means. Get out of my /sci/, you undergradb&

>>4925525
>Implying geometry was invented for the sole purpose of masturbation
>mfw

>/sci/
>insulting category theory

I find all math fun, just because it's math.

>>4924742
I am a pure math guy too and I'm not the guy you're talking too, but please stop using the term 'code monkey' it's ridiculous and unjust.

Differential Geometry is higher math than Group Theory?
You must be kiddin me...

>>4927174
You have no idea what you're talking about, highschooler.

>>4924815
>>4925524
>>4927149
Jelly mad, assblasted autists.

Only computer science trash adores undergraduate category theory

>>4927869
this is hilarious, 7/10

no one in the academic world would take this seriously, but it's a good laugh

>>4927930
>he thinks completing a 2nd year undergraduate 1 semester course on "category theory" makes him a mathematician

>>4928017
Welcome to /sci/, summerfriend.

fuck this thread is retarded

Engineering, well ok but seriously what are you going to do with a degree in Math?

ITT: People who have never actually contributed anything to the field of pure mathematics and feel like they can look down on it anyway