/sci/ - Science & Math

>>5748329

it's an integral that is being evaluated

take trig then take calc

for physics, find a calculus based physics book

there's a lot of different books that will be fine

It's pretty straightforward stuff in multivariable calculus.

As for your first question, I'm afraid I'm not well-versed in tryhard literature.

Integration. Grab a "Calculus for Dummies" book. It won't be very rigorous, but you will know what the symbols are and have an idea of how to perform the operations.

>>5748334
This
And if you want to succeed later, really really learn trig, it'll show up everywhere

>>5748339
basically this, you cant just jump into advanced stuff, got to start out small and work your way up

>>5748353
You can jump straight into analysis, though it's a bit frustrating not to have a good handle on logarithms beforehand.

But you can certainly deal with point-set topology and get a good handle on continuity and limits without knowing any algebra.

This would be fun, and afterward calculus will be much much easier.

>>5748368
To clarify, I am suggesting he read chapters 2 and 4 of rudin (and do ~half the exercises).

As always, lib gen dot info.

>>5748329
I would first read a book or two about Metamathematics.
Thats because University math, esp. pure math is very different from what you learn in highscool.
I recommend: "Reading, Writing and Proving", "Creative Mathematics" , "How to prove it" and the classic "How to solve it" by Polya.

If you try to solve exercises from college math with the tools from hs you will not only make slow progress, you might not make progress at all.

>>5748334
>for physics, find a calculus based physics book

Not OP but can you name some examples, please. I've done calculus I II and III and basic linear algebra as well. I don't want something too rigorous as I would probably loose interest. I just need the basics to advance.

If you want to learn how to compute, Transcendental Calculus by Stewart. Go through the whole thing. It's nicely laid out with some precalc (trig, algebra, functions) followed by derivatives, application of derivatives, integrals, application of integrals and finishes off with a little bit on sequences & series.

If you want to understand thoroughly, Calculus by Spivak. This is not an easy textbook. Save the "pi is irrational" proof for when you've finished the whole thing.

a high school student

>>5748431
halliday

OP, don't listen to the physics majors here advocating their shitty textbooks. If they had enough critical thinking skills to recognize the blatant flaws and inconsistencies in their "non-rigorous" texts, they wouldn't be physics students.

Stewart is crap, Halliday is crap, anything titled "Thermal Physics" is crap. The fact is that these books are logically unsound and unable to justify any of the statements that they make. There is no benefit to reading them. There is no benefit to knowing what is in them.

Read chapter 2 of Rudin and see what you think. If you like it, post a new thread saying so and that you want to study mathematics. Otherwise try the first few sections of "The Art of Computer Programming vol 1" to get the same idea for CS/discrete math. The "study metamathematics" fellow also had some good advice if you're interested in philosophy.

>>5748437

no, stewarts book for calc 1 - 3 is a piece of shit.

There's a bunch of equations shown without much explanation to it. Skipped steps, most of the homework isn't covered in the texts.

>>5748329
>impress my cheers
>my cheers
>cheers
you're welcome

>>5748329
>pic related, the fuck is that?

That's not advanced mathematics, you should have covered that in high school.

>>5748475
Often he would cheer and the echoes would realize how uneducated he was. So they'd go up to space where the air is thin and they could go really really fast, then speed down to earth, redshifting to the brown note as they came, finally forcing OP to shit his pants with a sonic boom.

I see no problem with wanting to impress them.

>>5748473
>Skipped steps, most of the homework isn't covered in the texts

i have never come across any of your problems with stewart, and i used it for all three calc classes. essentially every problem has a relevant example, and those that dont can be figured out with JUST A LITTLE critical thinking

<span class="math">Baby ~ level:[/spoiler]
Smith et al. A Transition to Advanced Mathematics
Apostol's CALCULUS Vol. 1 & 2
Tenenbaum's Ordinary Differential Equations
Shilov's Linear Algebra
Young and Freedman's University Physics with Modern Physics

<span class="math">Child ~ level:[/spoiler]
Artin's Algebra
Munkres's Topology
Rudin's Principals of Mathematical Analysis
Do Carmo's Differential Geometry of Curves and Surfaces
Strauss' Partial Differential Equations
Taylor's Intro to Mechanics
Griffiths' Intro to Electrodynamics
Shankar's Principals of Quantum Mechanics

<span class="math">Man ~ level:[/spoiler]
Stein's Fourier Analysis
Stein's Complex Analysis
Stein's Real Analysis
Stein's Function Analysis
Jacobson's Basic Algebra I&II
Goldstein's Classical Mechanics
Jackson's Classical Electrodynamics
Sakurai's Modern Quantum Mechanics

>>5748473

Yeah, you're right. I thought it was a good book because I had no trouble whatsoever with any concepts. It does, however, lack much of the context needed to really understand.

>>5748472
>Otherwise try the first few sections of "The Art of Computer Programming vol 1" to get the same idea for CS/discrete math. The "study metamathematics" fellow also had some good advice if you're interested in .

CS and discrete math and philosophy are crap meant for people with brain functions at the level of a chimp.

>>5748493
>Man level
>Basic Algebra

>>5748351
>And if you want to succeed later, really really learn trig, it'll show up everywhere
trig isn't that import pass vector calc where you can spam e^ix-e^ix/2 everywhere and anywhere with even a hint of trig in it.

>>5748353
You can't jump into ODE/PDE/Differential Geometry but Abstract Algebra, Linear Algebra, Real Analysis, Topology, Set Theory, and Mathematical Logic/Metamathematics are all very easy to skip into without knowing anything.

>>5748495

there is an unabridged version that's a lot better, but i don't know where you'd even get that or how much it costs

can someone tell me in which countries you don't learn integrals in highschool?
seems weird to me

>>5748732
USA?

>>5748732

In Canada, it's optional

There is like a normal stream for people who don't want to go to university and just want to graduate
There is a stream for people who want to go to uni, this usually requires single variable calculus taught in a non rigorous way of course.

>>5748754
>USA doesn't teach integrals
wut? Where the fuck did you go to school?

>>5748756
A lot of uni programs don't require that you took calculus in high school anyways (in Alberta anyway). Even if you end up needing it for your uni course, you can just take it in uni. The only program I know of that requires high school calculus is engineering, and that's only to lower the number of applicants.

>>5748781
Taking calculus in highschool in Alberta right now and our school only offers one class per semester. So out of of my entire graduation class, only about 45 people even know what a derivative or integral is. It's courses steps above the mandatory curriculum, so not many people decide to take it unless they plan on going into engineering or mathematics.

>>5748535
You may think that because some of the textbooks give all the definitions you'll need to go through with it, but you gotta be more mature to delve into these subjects.

Just look at all these threads trying to disprove Cantor's theory or the soundness of p-adic numbers because they've read all that but they still can't figure out the most basic concepts.

>>5748776

in my highschool, the highest math you had to take was algebra II and geometry. after that, everything was optional

this was 6 years ago, though

>>5748821
I'm graduating this year, and it's the same way at my school. That's mostly for students who aren't planning on going to college at all, though--the majority of kids I know get to precalc. Out of ~400 kids in my class, maybe 40 get to calc I and another 30 or so get to calc II (that's 70 total, to clarify). We do not offer multivariable calculus or anything past calc II, which is kind of a shame but oh well.

>>5748493
>Using Taylor instead of Kleppner/Kolenkow
shiggy, man. shiggy

>>5748776
Most kids at my school ended at precalc or lower. There was 1 class of about 25 students for AP Calculus BC and 3 for AB every year.

>>5748828

yea, I had this kid going to the university I was. He was 17 and taking upper division physics classes. The feels when I wish I lived in a metropolitan area so I could get a double major in physics/math by 21

>>5748776
Not from US. I got that from my friend.

>>5748835
taylor is a junior level classical mechanics book
k&k is freshman

also, morin is the superior freshman text

>>5748828
my highschool STOPPED at precalc.
I stopped at Algebra II because "I'll just learn it in college, no big deal." Which was the case, I probably learned more by taking it in college anyways. I wouldn't have trusted any of my highschool teachers to be as good as the professor I had for Trig/Calc I.

Kahn academy is decent, other than that find a good textbook and buy it (or get one from the library)... maybe find a tutor if you live in a college town?

> impress my cheers

Cheers aren't impressed by your ability in mathematics and physics. They are impressed by good looks, athletic ability, wealth, confidence, and dominance. Sorry.

>>5748855
Oh god I know that feel. Since I'm an education major I'm in the metropolitan schools all the time and I'm just like "daaaaaaaaaaamn." Like entire wings of the school for just 1 subject that were the size of my entire highschool campus and sports complex.

Then again in american like 40% of school funding is from local government, so go figure.

well if by this time you dont know about khan academy of MIT open course ware , you really have to live in a very shitty town

Yeah more than anything I feel cheated by the time I spent in highschool. All of our teachers sucked and there was that huge leap between focus on computational thinking to conceptual thinking.

>>5748339
Is that actually above high school level in America?

>>5748776
At my high school all we ever did was arithmetic. I don't even know how to do functions, equations and all that basic stuff everybody else at my uni knows.

I should probably kill myself.

>>5749067
That stuff takes like a month to learn.

>>5748329
I seriously thought I was the only person alive that wrote my limits of integration on the brackets like this.

>>5749077
I know, it looks really easy and I'm going to start learning it from tomorrow, I just feel cheated. I wasn't taught shit all my high school years, I didn't know I wasn't learning what I was supposed to learn either, and in my country HS years are four ;_;

Now I'm 19 at a meh-tier third world uni and don't know a thing.

>>5748969
I took BC calc in highschool. No that is not above highschool level.