/sci/ - Science & Math

>>10245512
Yes

27/?

>>9853068
Let [math]\phi[/math] be an isometric homeomorphism from the political compass map to [-1,1][math]\times[/math][-1,1]. Then my political point of view are normally distributed along the bottom left quadrant.

Can I have some non-brainlet maths memes?

>>9269608
bump

> mech eng

>only gf no bros

>>9198437
where has international effort got us so far?
ISS is cool but like... thats it. its been 40 years, time for a more effective plan

Hey sci

I'm really curious about some of the algebra behind ODE's and other seemingly-separate areas of math. For example, I always thought it was kind of arbitrary that, for an n-th order linear homogeneous ODE, the solution space is generated a linear combination of n linearly independent functions.

I'm not much of an algebraist, or whatever the proper term is, but I'd like to start looking into that side of things. I've only read the first few chapters of Artin -- would that text elaborate on some of these issues? Would Pinter suffice? I'm looking for something I could hopefully get through somewhat quickly, if possible.

Thanks in advance

>>9146515
>feels good being a math + physics major in germany

>math teachers here have to do real analysis+abstract algebra

>mfw when only 8% of teaching students pass analysis 1 and >80% switch major after first year.

> every math or physics major has the fallback option of a comfy high paid low stress teaching job because the teaching students are brainlets and not enough finish their degree.

I mean its pretty useless that high school teachers have know sylows Theorems but you can do your phd in algebraic topology or high energy physics and don't have to worry about a job at all

>>9092256
I should have been more clear, what I gave was a proof to the contrary; that, in fact, the converse of statement (11) in the text is true! And I essentially began my proof by saying, "suppose otherwise." That's why it leads to a contradiction.

It helps to see others think the same way I do about this. I'm guessing it must have been an issue about {a(n)} possibly diverging towards negative infinity instead of positive infinity.

Apologies, I haven't learned latex yet.

>>8929673
>there are no points in Euclidean geometry

Lol europoor education

>>8905190
>Tried to keep his kids out of math because he thought they would harm the family name

That is pretty ruthless, what a cunt lol

>>8848476
Sorry, saw the other anon posting, thought he would answer.

Stewarts is decent only for people who don't care about the subject any deeper than basic "calculus 1-4" classes.

Apostols is a much better text in regard to teaching you how things are derived, although it is a bit dry.

Spivaks is brilliant and witty, but he takes most people offgard, with jokes in the middle of an almost narrative style method of exposition. His "calculus" is also more of an analysis text, including bounds, fields, construction of reals, etc.

I bought both, and used both, and I think it was a good decision to get multiple perspectives. Isolating your growth leads to fewer chances to expand your understanding and capability.

Again, poorfags should use bookfinder.


>>8848480
Essentially, in a non rigorous text, like Stewarts or any other normal undergrad cal 1-4 book, they show you the basic tools like integration and differentiation, they show you how the different cases with transcendental functions, and they show you how to solve problems with them.


However, they never show you why the math works, they never say why. They just tell you it does, with maybe a few appendices covering basic proofs or derivations.

Calculus isn't a "real" field of math. It is an old construction newton and Leibnitz worked on. People came after him and expanded the field into analysis. They took basic axioms from algebra and newtons work, and made it follow set theory, which gave it "rigor". You can construct why a derivative works from just a few theorems.


>>8848568
Just so everyone here is clear, this list is bait. None of these should be attempted unless you're bored in your modern algebra or harmonics classes. All of those books are intended for graduates or very bright upperclassmen.

>>8848536
Yeah they're coming along, I'm just very busy. The summer will easily give me enough time though, should be done by mid-June.

Alright /sci/, serious question time. Any ivy league, elite-faggots need to get in here.

I would really like to get into a decent grad school program, so that naturally entails getting into a decent school. I have the typical list: safety net, match, and reach. My question is about getting into my 'reach' schools.

I go to a meme-as-fuck state school in Oregon that is really only known for our football team. So I know I'm already at a disadvantage because I'll be competing with people who took Math 55 their freshman year, or some other equivalent at a reputable undergrad program. I understand that most of the people who go to schools like mine never really close the gap and make the leap to a top-tier program in grad school.

I'm in the honor's program, though, and that means that I'll be expected to do some very minimal research as an undergrad, so that might help, but I'm just starting my junior year and I have no idea what areas I should be looking into.

What do you think? Am I essentially bound to my current station, or can I get into a reach school of mine? Does anybody have any advice/experiences they would like to share with me?

For reference:
My ideal match school is UW
and my reach schools are the typical tryhard schools:
UChicago, UC Berkeley, Stanford, ect.

Thanks in advance

>>8758720

anyone ever done bayesian statistics?

>>8569045
fucking kek

I'm a freshman right now, majoring in biology. I've discovered there's tons of people who do biology to go to medical school, and as a result, it's a very saturated degree. What are my realistic job prospects if I continue on with this? i'm interested in more than one field of science, and it's not too late
for me to change. What is my best choice financially? I just want to enjoy what I do in life, but still be able to sustain myself.

Also how soon should I start looking for internships?

How would I go about resolving the curl of a surface vector field in terms of the surface tangent vectors and normal vector?

I tried just plugging the vector components into the general formula for curl in curvilinear coords, but that equation has three indices (i,j,k) and the surface cross product only seems to have two (α,β). The answer key gives a linear combination of the curvature tensor components and the surface tangent vectors plus a linear combination of the Christoffel symbols and the unit normal vector. Some fucking how.

Help a stupid fucker out