'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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File: 1608527960881.pdf (1.12 MB, (Undergraduate texts in ma….pdf)

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.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.

>>6632

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

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

>>6980

>I fuck up the basic math and make stupid mistakes, and then I end up ruining the whole question

Iktfb

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.

>I fuck up the basic math and make stupid mistakes, and then I end up ruining the whole question

Iktfb

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.

>>8120

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

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

>>8121

http://www.mecmath.net/trig/index.html

> 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.

http://www.mecmath.net/trig/index.html

> 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.

>>748

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

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

>>8450

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

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

File: 1635980982019.jpg (152.57 KB, 914x960, 1635941534428-3.jpg)

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?

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

>>390

pink = all - 4 green = red + blue

>>404

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

>>493

>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.

pink = all - 4 green = red + blue

>>404

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

>>493

>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.

File: 1640036083879.jpg (34.34 KB, 655x527, 02f.jpg)

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?

File: 1640174261184.gif (940.02 KB, 498x280, crying yoko.gif)

Why is math so hard?

File: 1640267707310.jpg (4.4 KB, 225x225, images.jpg)

>>9042

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

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

>>9033

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

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.

>>7466

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.

>>9033

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.

>>7466

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.

>>9033

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.

File: 1640980123202.pdf (3.38 MB, 168x255, Schattschneider-Amateurs.pdf)

>>9138

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

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

>>9138

>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).

>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

>>9141

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

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

File: 1641073288829.jpg (1020.77 KB, 1727x2440, 2b1cb76ffcdf21c9cc5182f357….jpg)

>>9154

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

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

>>9155

?

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'

?

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'

>>9168

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

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

File: 1642884362013.png (19.9 KB, 640x480, plot.png)

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

>>9475

f(x)=x**(1/x) => f(x)=e**((1/x)*ln(x)) f'(x)=x**(1/x)*(1-ln(x))/x**2 f'(x)=0 => 1-ln(x)=0 => x=e x<e => f'(x)>0 \ => max x>e => f'(x)<0 /

>>9478

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

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

https://www.youtube.com/watch?v=v68zYyaEmEA

does this video have to do with mathematics

is maths the way to solve wordle the best?

does this video have to do with mathematics

is maths the way to solve wordle the best?

>>9731

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.

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.

can we continue with you responding to

>>>/leftypol/873853 here?

>>>/leftypol/873853 here?

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

>>10113

>https://www.wolframalpha.com/input?i=%7C%7B%7D%7C%3D

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?

>https://www.wolframalpha.com/input?i=%7C%7B%7D%7C%3D

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?

>>10113

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

https://math.stackexchange.com/questions/283/is-0-a-natural-number

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

https://math.stackexchange.com/questions/283/is-0-a-natural-number

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.

You're not being good central planners with this attitude.

>>338

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.

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.

File: 1674152759964.jpg (59.39 KB, 595x603, photo_2023-01-19_12-56-09.jpg)

>>344

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

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

>>5504

> I like things involving theory, writing, critical thinking, etc.

That sounds like mathematics…

> I like things involving theory, writing, critical thinking, etc.

That sounds like mathematics…

https://archive.org/search?query=subject%3A%22little+mathematics+library%22

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.

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.

>>12234

WEEWOO POSITIVIST DETECTED, WE'RE HERE TO TAKE YOU AWAY FROM THE GOOD DIALECTICAL CITIZENS

WEEWOO POSITIVIST DETECTED, WE'RE HERE TO TAKE YOU AWAY FROM THE GOOD DIALECTICAL CITIZENS

>>12235

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:

https://archive.org/details/TarasovCalculus

https://archive.org/details/QuestionsAndAnswersInSchoolPhysics

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:

https://archive.org/details/TarasovCalculus

https://archive.org/details/QuestionsAndAnswersInSchoolPhysics

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?

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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