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/edu/ - Education

'The weapon of criticism cannot, of course, replace criticism of the weapon, material force must be overthrown by material force; but theory also becomes a material force as soon as it has gripped the masses.' - Karl Marx
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 No.338[View All]

All good communists study math.

What are you studying right now? What is your favorite field of mathematics and why?

Personally, I really like the book "Linear Algebra Done Right" by Sheldon Axler. It is on Libgen if you are interested and I attached a pdf.
153 posts and 27 image replies omitted. Click reply to view.


Late on this but there are none. Quantum computers are computationally equivalent to Turing machines


>I fuck up the basic math and make stupid mistakes, and then I end up ruining the whole question
And to be honest I never really figured out how to deal with it, I just lucked out and managed to not make enough blunders to pass. But something that kind of helped was really slowing down and doing nearly every calculation by hand, writing down all the steps for the question instead of just diving in, etc.


File: 1634294994481.pdf (527.84 KB, 232x300, short-math-guide.pdf)


Do any of you know a good collection of geometry problems? Something that I can think about when I have nothing better to do. I want to train my visual thinking.


NTA but can anyone drop me some Geometric Trig please? I did Calculus in college but I've basically forgotten it at this point.


> This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed. A brief tutorial on using Gnuplot to graph trigonometric functions is included.
> There are 495 exercises in the book, with answers and hints to selected exercises.


i doubt theres any mathematical value besides proof verification. contrary to popular belief, mathematical thinking is precisly what cannot be formally reduced to modus tollens. the likes of agda or lean may be of interest to logicians or TCSists, but can hardly assist mathematicians with their work


also im happy to find a math general on leftypol. though i think marx's math manuscripts showed his poor understanding of the state of mathematics then


Number theory, counting, comparisons, ratios, addition subtraction multiplication division, exponentiation, negative exponents, rooting, factoring, GCF, LCF, primes, prime factoring, distributive property, adding like terms, fractions, order of operations, variables, isolating variables, polynomial equations, graphs, discrete and continuous values, difference, rise over run, y = mx + b, quadrants, points, lines, polygons, circles, higher dimensional topology, angles, soh cah toa, algebra with sohcahtoa, trig functions-1, perimeter, area, surface area, volume, units, unit conversion, si notation, significant digits, measurements, estimation, rounding, patterns, circumference, diameter, radius, y = x^2, y = a(x - p)2 + q, y = ax^2 + bx + c, x = 0, x int, y int, x = (-b +- sqr(b^2 - 4ac)) / 2a, a^2 + b^2 + c, itg(x -> 1/0)*dif(x), transformation, translation/reflection, rotation, radians, unit circle sin = y val & cos = x val, Pi * rad = 180deg, analysis, sets, coordinates, groups, mapping, matrix operations are about the operations on coordinates from vectors


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Can anyone of you guys link any torrents or megafiles that can give me a comprehensive reading list of books pertaining to self teaching math?


Well not a torrent or megafile, but you can search all these books on libgen I reckon >>2922




File: 1639926858435.png (6.05 KB, 740x380, proof.png)

pink = all - 4 green = red + blue

The rocket pigs version: https://bartoszmilewski.com/2014/10/28/category-theory-for-programmers-the-preface/

>differs from sets to avoid Russel's paradox?
The standard solution is based on von Neumann's work and predates category theory. Cantor's naive sets are renamed to classes. Classes are partitioned into sets and proper classes. Sets are those classes that can be built up using ZFC, which removes unrestricted comprehensions. You can no longer take "all X [with P]", you have to take "all X from S [with P]" where S is already a set. The question becomes whether the class of all sets is a set. The resolution to Russell's paradox is to provide the negative answer by becoming the proof that the class of all sets is a proper class rather than a set.


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How to keep myself fit when it comes to mathematics? I had analysis, linear algebra and probability theory and I'd like to keep myself fit so my knowledge and capabilities don't atrophy. Do you know any websites with plenty of exercises?


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Why is math so hard?


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Not as hard as this dick haha, am I right fellas


I would be interested in this too, as I have already forgotten much of what I studied in university. Would Anki help?


Anyone here reading more "historical" mathematical texts? I've started reading through Bourbaki's theory of sets, just to kill some time until I go to university. Its a little incomprehensible to a brainlet like me, but its very nice to read about mathematical concepts that don't get much or any use these days.
Amateur mathematicians aren't taken very seriously by academics, because a lot of quacks come up with "solutions" that are blatantly incorrect. All of the open problems require a lot of study to even understand, or exist in highly specific fields. If you want to study math for the hell of it, just pick up some books on the fields that interest you and read through them.
Not sure if any website with exercises beyond high school level math exists. Getting a textbook in the topic you'd like to brush up on, and looking at the exercises in there should work. Skimming through the chapters might also be a good way to see if you've forgotten anything too.


What about stuff like this? Does it no longer happen?


>a lot of quacks come up with "solutions" that are blatantly incorrect. All of the open problems require a lot of study to even understand
Counter-example to your second claim: Collatz conjecture (also a great example for your first claim).


Do you mean to insinuate that the Collatz conjecture is misleading?


How do you solve word problems with a reading comprehension like that?


First claim in the quote you've addressed is 'a lot of quacks come up with solutions that are blatantly incorrect'
Second claim is 'all of the open problems require a lot of study to understand'


I'm not that anon lol. The Collatz conjuncture is easy to understand, which contradicts the claim that
> All of the open problems require a lot of study to even understand


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Why is the maximum of \(\sqrt[x]{x}\) at e?


f(x)=x**(1/x) => f(x)=e**((1/x)*ln(x))


f'(x)=0 => 1-ln(x)=0 => x=e

x<e => f'(x)>0 \
                => max
x>e => f'(x)<0 /


cute and aesthetically pleasing reaction image
i am monke


Yeah that's how I found it but why is that the case?? It's very suspicious.


>pose problem involving exponentials
>wtf why does e suddenly appear?



does this video have to do with mathematics
is maths the way to solve wordle the best?


I don't have time to watch the whole thing, but at the beginning it looks like they just tried out every combination ever? That doesn't sound very mathy.


Math is the biggest waste of time


someone here redpill me on the concept of infinity


iz big


are you here {}anon?


can we continue with you responding to
>>>/leftypol/873853 here?


File: 1648014604783.png (5.45 KB, 832x114, ClipboardImage.png)

Wolfram is interpreting it as the absolute value and not cardinality of sets. (See pic 1)
>you can't have a set without an empty set, no?
Can you clarify this question? Are you referring to the construction of natural numbers starting with the empty set?


NTA but reposting a link (archived version is available).


Another day I didn't study. Why do I do this, the exam session is about to start aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa


>search page 0 results for optimization or operations research.
You're not being good central planners with this attitude.


Math seems like such a massive field that It would be impossible to master in a lifetime unless you have a specific interest or use it for practical purposes.


we're all in the /cybersoc/ thread


e = lim{x to infinity} (1 + 1/x)^x



That's reassuring, I guess I just need to learn linear algebra then


> I like things involving theory, writing, critical thinking, etc.
That sounds like mathematics…


Cute short books by Soviet mathematicians. They are based on lectures given to high school students, so they should be accessible to most of us here.




There are some pretty cool books in the rest of the publisher's catalog: https://archive.org/details/mir-titles
These two for example present topics in a very fun dialog style:


Taking Calc II at a community college.
I think i am going to switch declared major from Computer Science to Mathematics, it seems more useful for building utopia.
How important is statistics for applied math? Can I get away with just taking the upper-division level later or should I study it at the expense of vector calculus?

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