The Map of Mathematics

[@HCTripleC]

I'm more amazed at the fact that you didn't try to pitch me a brilliant subscription at the end

[@gamesbond006]

True😂😂

[@alexwang982]

I used brilliant before all the sponsors, it's genuinly good

[@crimsonnite9291]

@@alexwang982 No one cares, bitch.

[@thatsagoose4039]

Pi did anyone ask?

[@Marctary]

I think it's better to understand that creators don't necessarily decide to pitch you a 'brilliant ad subscription' for the love of god. A lot of creators tries to make a living from KZbin and KZbin is becoming harder everyday on its regulations. Thus affecting monetization. Creators find themselves with a lack of revenue. Sponsorships like brilliant is a way for them to get a salary but also a way for you to get those vids right to you. So if you find yourself at the sponsor session of a video please just double tap on your screen to avoid it.

[@WGFinc]

“The more you know, the more you know how little you know” - Someone Smart

[@kakyoindonut3213]

"I hate math, but I need it" -Sun Tzu, the art of hating math

[@spec_wasted]

"The human mind isn't like mine, it cannot understand the universe" - Albert Einstein

[@AB-zg5vy]

@@spec_wasted i cannot believe he ever said it, does he?

[@shahrukhs1637]

Someone smart. Pretty funny name isn't it

[@padkirsch]

"The More You Learn, the Less You think You Know!" ✅

[@ericzhan3454]

The funny thing is every single item on the map could probably have a full-scale map of its own.

[@pamelafrancis4476]

Yes, just as every discrete number has a multitude of numbers between them. 0 to 9 is the most mysterious sequence possible.

[@ericzhan3454]

@@pamelafrancis4476 Ok almost every single item lol

[@dcterr1]

So perhaps the map is a fractal. I wonder what it's Hausdorff dimension is.

[@suicidaldiabolical248]

Exactly

[@Morningstar_37]

@@dcterr1 Yep, because every item on the plane here has an own plane where every item has its own plain and so on until after hundreds of layers its just planes of zeroes and ones, which are finally the only items that dont have an own plane.

[@allrounder2367]

I am a Physics undergrad student but trust me, there is nothing that can beat the Math. Math is the most interesting subject ever discovered. You will in love with it once you know how things work there.

[@nitxbms]

Teach me 😭

[@TheRookieWarrior]

@@nitxbms Linear algebra is great.

[@jimmicrackhead12]

Just wish it was easier, some people are too bad at it to appreciate

[@peteplayz-norskgaming5723]

This is surprising

[@AMINE-dd1qy]

math is all about asking u ask u get

[@hussfarsani8135]

Just realized my current math skills are at the same level as those in 50,000 BCE.

[@NazTheGreat]

😂

[@atishmistry6959]

Belief is a beautiful thing my friend. I believe you have the ability to be a good mathematician:)

[@garytherrien1675]

That's an epiphany in itself! I'm in the same boat.

[@MsReemable]

🤣🤣🤣

[@charleswilliams8368]

I got pretty good at algebra in college, but have forgotten the majority of it. I find these math videos fascinating, even though I don't understand it. For one, I need to understand the notation. That would help.

[@thishirokh3172]

When you find solutions for math it called "pure math" When math find solutions for you it called "applied math"

[@learnmathjadel-hawat7958]

kzbin.info/door/9zWut-PVOkVufFtVpQsYlw

[@shavigautam9398]

😆😆 true.

[@poushalinag7942]

I am in for appplied maths more than pure maths.

[@Darcy83]

Sorry i see them as the same thing where do i learn the math to separate them in to there smaller form of 1x1= all the way to 100 I am dyslexic so only understand thing from a 3-D way but can only half translation it to 123 and abc i am so lost looking for the right way to start math

[@siddharthrajan616]

Well said!!

[@nono-mu9rw]

I love being a math student and coming back here once a semester and tick off more boxes

[@SerafinMx]

Goals

[@Serendipity-nh2uk]

this…..is genius. what a way to keep you motivated.

[@rickdoesmath3945]

currently ticking off topology and measure theory

[@mariaalejandra1573]

Wow, you sound amazing

[@Anu32148]

Currently studying integration!!

[@fenil9226]

"Mathematics is the closest thing to perfection we will have as humans." - Fenil B

[@kalevala29]

hmmm... “Without music, life would be a mistake” ― Friedrich Nietzsche

[@AdityaKr2510]

Math is the music of thinking reasoning

[@Chomta]

"2+2=5" -Me

[@Spookspek]

I wish this is how they explained mathematics in school, instead of hyper-focusing on some specific part taken out of context, telling you it just works and making you do the same menial task over and over.

[@Yuskan]

And thats why most students cant do maths, they dont understand why. But this is maths, the question of why? And the system called school doenst do a good job in educating so.

[@Yuskan]

@aids I think what he more wants to say it, to focus it on the logic and not tje formulas. Maths isnt formulas, its the logic behind. Mathematiciams of course have to know these formulas, but they have to understand the logic behind and create new ones.

[@achyuththouta6957]

@aids No he probably means he wants to solve questions which actually require critical thinking. When I was in seventh grade , I was taught the formula for Pythagoras theorem and had to do like 20 problems which involved direct application of the formula and the only difference between those questions was the change in numbers. Maths felt easy then, now that I'm in eleventh grade, I don't have enough problem solving abilities required. That's the problem you see. The maths till tenth grade is shit and they expect you to be super smart in eleventh grade out of nowhere

[@Dejawolfs]

thats what bureacracy does, it takes something wonderful and orderly and destroys it. entropy i guess.

[@iseeyou3129]

Lol our schools still use an old system taken from prussia. The system was made too make citizens easy to control. One of known myths is "School kills creative thinking" and this myth very true, sadly. Everyone of my classmates hate "english" xd Btw english ain't my native and didn't learn it from school but from internet. I still don't know all English tense XD

[@sreekarg9553]

“The mathematics we do in school doesn’t quite do the field of mathematics justice.” So damn true

[@phs125]

I didn't even know 90% of these existed!!!

[@dybiosol]

To be fair, most of our schooling is based on Pure Mathematics and within that we are mostly taught the Number Theory and the Changes Section from this video. The spatial is usually left out in the early stages of education and is slowly brought in after 10th grade. By engineering, we are mostly taught applied mathematics for about 5 semesters so its not like we are missing out on anything.

[@dybiosol]

@@phs125 There's a very good chance you already know the mathematics behind it if you have completed your 12th grade, but you might not know where it exactly lies in which leads to that very question in school when we ask "WHY DO WE EVEN NEED THIS?!"

[@younghirsch]

Study engineering at uni and you will encounter almost all of it

[@soyoltoi]

@@phs125 This doesn't even scratch the surface! Mathematics has been tending to increasing levels of abstraction that it's hard to even describe many of the active areas of mathematics.

[@behindthepie9430]

this video is actually incredible when you think about it, even after three years. at first glance it just seems like another cool "wow interesting math video." but if you look through this video and studied all the math subjects covered here it would take you forever, and you would just be that much closer to understanding the universe we live in. math is such an underrated subject, i love math and i barely passed it in high school. i would suggest to everyone who hates math, start studying it a bit.. just take it at your own pace, i started by relearning basic math. its a very incredible subject, really.

[@BongRamilBaladjay]

Umm did you get better at Math? And if you did, can you please explain to me how I can be better at it too? (I'm just curious because I'm not very good at Math but I really want to learn the subject more)

[@AJMaths]

@@BongRamilBaladjay Practise more, Keep reading, watch videos on topics you struggle with. You need to start with the basics and work your way up. Learning Maths is slow but is very rewarding it just requires hard work.

[@BongRamilBaladjay]

@@AJMaths Thank you! I will do my best to learn!!!😊😊😊

[@AJMaths]

@@BongRamilBaladjay It's a beautiful subject, if you ever want help just drop me a comment and i'll help :)

[@BongRamilBaladjay]

@@AJMaths Thank you so much! And sorry for the late replies haha😅✌... actually I think I have "Math Anxiety" that's why the subject is so hard for me, but I'll ask for your help if I need it! Thank you again!!!

[@guywhyre2543]

I got a degree in Applied Math in 1973. If I had seen this video first, I would either have done better and learned and understood more, or I would have changed my major to Bowling. Thank you for a Fantastic Video; I am going to show this to my math & physics anxious nephews, so they have a broader understanding of what math can do to assist their understanding of the physical world. This should be shown to ALL Math and Physics majors in every university, and even to math students in High School. Bravo to You.

[@paulmccharmley]

hello, i’m currently in school to earn my applied mathematics degree. how was it for you?

[@ksofficerofficer7858]

​@@paulmccharmley I struggle math do you think you could help me 🥺🙏

[@NoahArk-xy2nb]

​@@ksofficerofficer7858no

[@jimmyli319]

Bowling 😂😂😂😂😂😂

[@justyouraveragegamer8733]

0:08 what you learn in class 0:10 *what’s on the test*

[@navagharkiran5769]

That's the beauty of India

[@dariaholom4011]

haha

[@raeadrianarevalo6512]

yep

[@kevinsun7617]

WONDERFULLY DIVERSE

[@PersonManManManMan]

wonderfully diverse subject, what's not to understand, it's easy they said

[@colinjava8447]

Some people think high level maths is just multiplying really big numbers together.

[@thomasj3559]

If only it would be as easy as that

[@colinjava8447]

@@LuizFernando-ux8yi lol, I rest my case

[@Haniel93]

​@@nobody7817 Computers can't do its job. The mathematics part is to develop and prove concepts and in the area of computational science and numerics it is to find ways a computer can either solve or approximate stuff. The mathematicians job is not to actually take the formulars and concepts for calculating real world problems. Thats the part for the computer. A computer can calculate. But calculating is not mathematics

[@elijahanitalis3425]

@@Haniel93 The day will come when computers do math. Or the day we change and improve our brains and make math primitive and useless. Just try to imagine that future.

[@elijahanitalis3425]

​@NPC #369369 1) "High level mathematics is basically just abstract illogical thinking". Did you mean creative/lateral thinking? 2) The way we think is pure consequence of how our brain works. You change that, it changes everything. 3) What computers do now is just a fraction of what them will do with in decades

[@ananya.a04]

Math was, still is and forever will be one of my favourite subjects to study. I feel in love with both its simplicity and complexity; the way it never makes sense when you go through it, but at the end everything fits together with such ease to form an answer. Some of the best memories of my school days were formed in the math class, and everytime I come back to it it astounds me all over again. I feel extremely privileged and lucky to be able to enjoy such a wonderful subject, and I hope our education system can improve enough to spark interest in more and more students. 😊

[@rlybro]

I wish i coul express my feelings like you, haha ..for the Ielts test

[@jimmyli319]

@@fariarahman9444 treat them like a puzzle. It’s hard at first but once you are familiar with that topic it would be interesting to solve them. Especially for geometry and trigonometry, they are really just IQ question at some point when you grind them enough.

[@yuumir1072]

@@fariarahman9444 It's simple, forget all what you know or think about maths, lose your inhibitions, act like you don't have any idea about what is it about and try to "discover" it at some point, especially, understand the essence of it, why is 1+1 always equal to 2 ? Why does Pi have this value ? Why are things like this and not otherwise ? And to answer this you gotta look beyond what the horizon shows you, don't focus on the surface of the ocean, go deeper than that and find the treasure it hides

[@fibonaccisequins4637]

So well said. I grew up thinking I hated math and realized at the age of nearly 30 that I love it for all the reasons you mentioned. Part of me is angry at the teachers who made it so hard for me to comprehend and never seemed to care when some of us whose brains work differently (I have ADHD) needed more guidance. However, another part of me is just so happy that I discovered my love for it while I’m still young. I can’t wait to learn more and teach it to my children in a way that’s fun and easy to absorb. I want them to love and embrace math as well, because it’s extraordinary, how it’s like this one language that unites all of us. I hope it becomes more accessible in the future and that more people realize just how fun and interesting it actually is. Because way too many kids like myself feel like it’s not “for them” when the beauty of it, is that it truly is for all of us.

[@fibonaccisequins4637]

@@yuumir1072 Yes! Great advice. I used khan academy and just relearned the basics starting from the ground up. I always wanted to know the answers to those questions growing up and was always told “it just is!” but being able to learn at my own pace, thanks to the internet, has made math so much fun haha

[@apektua1958]

I graduated with a BSc. Maths major & Physics minor...I really enjoyed watching the video and vividly recalled learning all of and applying some of them at work. Congrats on the effort in producing this video....enjoyed watching it!!!

[@RainerGaming]

I'm only in high school, but I love this map cause it makes me feel like I am in a video game upgrading my skill tree with experience points lol. i am 100% going into something math related in life, no idea what yet, but i find it absolutely fascinating.

[@nadiasanz3779]

Have you thought about becoming a mathematician? Physicist?

[@BowgFrowg]

Keep going bruh. It fr is brain scratching stuff. Educate yourself finely.

[@a.y3075]

There's many different career choices you could choose from with a math background. Hard work pays off. It's even better if you enjoy what your doing. The best of luck.

[@ankitthakurankit4764]

High school?? 10th?

[@christiaanmcdonald]

same

[@ultimateloser3411]

Back in highschool, my main goal in life was to study all the maths and science to understand the universe I was in. Turns out I was just delusional lmao.

[@user_2793]

I want to specifically learn classical EM in physics, and in math Topology seems very interesting. Maybe later in life I'll try to learn as much as I can, if I can, the theory of relativity.

[@user-wo4vo5nz8e]

Yes I love mathematics and science too.

[@codenamedelta9991]

Ah yes the dreamer, i am one of them

[@mathmeetings9861]

kzbin.info/www/bejne/mXbFfn-NbLBklcU

[@itsoktobedummythicc8996]

Ultimate Loser why delusional? How did u know u were delusional?

[@KingsleyIII]

Mapthematics.

[@TheAiriph]

tongue twister

[@fossilfighters101]

+

[@excellentbill69]

mapematics

[@Alkis05]

Mapmatics, with a mute 'p'

[@ultrakool]

mathemapics

[@Grace-ix6oc]

Math is one of those things that continually fascinate me. Mostly because I try so hard to grasp and understand it, whether it be geometry or algebra(I’m scared to even try learning about calculus) but my brain can’t seem to grasp and understand it. I applaud those who have the talent and ability to learn the ‘language’ of mathematics, in any of its forms. (Probability, statistics, algebra, calculus, geometry, etc.)

[@ananas_6029]

In my opinion calculus is boring, but it is certainly not that hard as people make it out to be. Try it and you'll see!

[@anxiousbaddie444]

i think that if schools explained and showed us the beauty behind math like this, more people would appreciate and love it

[@rutvikiz]

Maths unplugged is also good 👍 for those who are starting from beginning or to even to go advanced level

[@halbarad7932]

I don't think so. It may sound nice to learn the scope of maths, but trust me, as a person who studies physics, very few people would actually enjoy learning it. This guy also pretty much says incorrect information about a lot of topics here. For instance, saying that group theory studies groups is really retarded way of saying it, even if it is somewhat true, he doesn't say what a group is, which if you actually delve into it, you'd find that group theory and abstract algebra in general is one of the harder math subjects. I didn't like this video, because it is clear that this guy had very little experience with math, which makes sense because he studied biology, but it really doesn't feel good to listen to him talk about stuff he know nothing about.

[@emmared9110]

I struggle with math in school and always have. I just returned to college at 21 and got an 18/100 on my pre-test for college algebra. Probably the lowest score in the class. I wish people knew that I am actually passionate and excited about math. I wish I could learn all these things, and I hope I get to understand at least some of them someday. Trigonometry was actually my favorite class in high school. I got a C lol.

[@n_man-im2fv]

Marks don't really matter, they only show how good are you at the test. If you like maths, learn it and do not let some schooling system destroy it for you. Good luck!

[@DezzysDream]

same here. keep going!

[@dorotheatsatsou9878]

If you're passionate about a math subject then you do already understand it in its core. In your case you just haven't found someone who can communicate it (or even really understand it) the way you would receive it. Find someone to teach you or even teach yourself - we got all info online now, you don't have to rely on poorly skilled ppl to teach you. You totally got this.

[@HardwareDealer]

Dope, 64th like, a number which will always remind me of Minecraft and remind me that math is universally applicable and can make sense while being entertaining if the teaching method is right. I liked Minecraft, and thus I liked the inventory full of numeric patterns as I halved each stack... School has taught me a few more ways to write or dissect the number 64, but it's hard to find a learning platform that offers as much fun as a video game. If you find the right teacher or teaching style and keep going because you like math, as suggested by the 3 other replies, you've got this. I loved math in High School, did terribly, decided I wasn't cut out for math, and now I'm in school for engineering at 23 and have had to entirely reassess my approach to math and studying in general. Neuroplasticity for the win! A Growth Mindset is better than a Fixed Mindset! American school systems are designed a specific way, I might have to struggle in that system to achieve the same success as everyone else, but that's just because my learning system is designed a different way. Find your best learning method, make and keep useful study habits (this is my downfall), and know that you ARE a math person. Keep your head up, fellow nerd (aka a person who is enthusiastic about their interests)!

[@1KingFisher]

Don’t give up. Master the basics and the rest isn’t so bad.

[@Drakonus_]

The more I learn about things, the less I understand.

[@duzacsp1376]

The more I know, the more I discover that I don't know

[@vividbunny7194]

@@duzacsp1376 scio nescio

[@antonioamsouza10]

"But knowledge puffs up while love builds up." 1 Corithians 8:1

[@kasajizo8963]

The more you learn, the more you realise you don't understand.

[@Sir_Isaac_Newton_]

think about it

[@1134_BAVANESH]

Aspiring Mathematician here! Great effort,love it ❤ But as a learner of pure mathematics,i should say that we need atleast another map like this to cover a good amount of it. I'm sure it would be the same for applied people too It's just fascinating(sometimes overwhelming) to see how much progress humans have made as a species!

[@Arsenalfanx562]

I wanna learn all of this.

[@jeffonspikes5567]

Ruslan Zarifov let him do it lmao who are you to tell him what to do . He could discover another type of math

[@sejalb725]

Ruslan Zarifov actually the hard work involved in it is what gets me excited.

[@sejalb725]

Ruslan Zarifov o.o...I’m sorry man. Your point is correct, I was just talking about me and my love for the painful hardships of drawing

[@adamh2077]

r/im14andthisisdeep

[@etalezt5909]

@@raggedclawstarcraft6562 I agree with you wholeheartedly. I have my own example. 5 years ago my friends used to read "Popular Science books" because they wanted to become Physicist or Mathematicians while I used to study Dummit and Foote( a rigorous math book). Now most of them have long left the idea of becoming a mathematician because they romanticised the idea of being a mathematician rather than the idea of studying hard every day . I loved studying it and kept on doing it even if things were difficult now I'm doing pretty good maybe 5-6 years down the line I might actually become a professional mathematician. The crux here is loving the work and being continuous with it.

[@hemanshpandya542]

My Mathematics teacher used to say "Without mathematics the world would be zero, and that also belongs to Mathematics".

[@ishaqali9347]

How would the world be zero can u elaborate ?

[@covermaiden]

The world would be the same

[@Kristenkore]

@@covermaiden no it wouldn't, Math is literally the most important thing you are taught in school

[@Kristenkore]

@@ishaqali9347 It would be 0 since the world needs math in order to function

[@covermaiden]

@@Kristenkore I agree with you, but you are talking about OUR WORLD MADE OUT OF LANGUAGE, not the real world: shamans survived without math and the world was better back then.

[@enas7547]

I am a writer but a few years ago I discovered my curiosity towards mathematics & this video definitely gave me an idea about what I need to cover. People think mathematics can be boring but Alkhayam was both a mathematician & poet. Lewis Carroll was a mathematician. You can be creative at anything you love.

[@michelekurlan2580]

Mathematics is a universe of its own and this whiz mapped it out for use, kinda like how scientists recently presented the world with a "map of the universe." Maybe they're overlays of each other..they certainly relate! This is AWESOME. GREAT WORK. 👏

[@SUDEEPSRC]

When I was learning in school I hated mathematics but now I'm passionately learning mathematics for my competitive exams, I love to learn that what feels hard to me and my respectful regards to those mathematics geniuses

[@speedbreeze4768]

same ngl, idk what changed

[@KrishnaVamshi111.]

JEE aspirant??

[@ACrOXDhn]

Jee 🤨

[@ntp5358]

I've personally always been interested by maths, but it took one good teacher to really spark all this interest I have, now Im upset if I didn't spend a week learning new stuff lol

[@techreviews1462]

what da sudeep showing too much cock?

[@blub3rry116]

As a math major this really helped me get a glimpse of what I actually know and have built over so many years

[@shurima1137]

Where you from, by the way?

[@rishikkeshsuresh3692]

MATH ---- YES EXAM ---- NO

[@bilgeersayn2490]

Totally agree with that

[@hxcq5883]

Yup

[@deactivatedchannel3115]

😂🤣👆🖕😂🤣😂🤣😂😃😂🤣😅😊🤣😂🤣

[@sergioandresbenitezhernand2542]

Projects > Exams Change me mind.

[@bilgeersayn2490]

@@sergioandresbenitezhernand2542 the projects or researchs (about your interests or about the subject that you want to work on when you grow up) that you have done lately,are the things that will bring succses in your carrier

[@thesiblingsgames8646]

Math is so confusing and interesting at the same time. It facinates me how everything fits perfectly like a puzzle.

[@entitydoesvids]

Maths are cool But alike other subjects, school makes it suck

[@alberteinsteinscousin5966]

Bull

[@alberteinsteinscousin5966]

You can make maths fun, by 1. Learn on your own *Google exist* 2. practice even when you don't have exams 3. Stop blaming others, and stop blaming yourself, only thing you should blame is the lack of practice or study

[@clipit4503]

Khan Academy is the best!!!!

[@alberteinsteinscousin5966]

@@clipit4503 Khan academy taught and is still teaching me Mathematics. Teachers can't teach you everything because of the stagnant, caged, School curriculum that has a time limit. I like to have fun while doing Mathematics and khan academy offers great content that is not limited due to age or grade.

[@JulesMoyaert_photo]

@@clipit4503 True!!

[@goldCrystalhaze]

Even though mathematics are part of my life as an engineer, this video is something I've been searching for a very long time, to help ease my mind. At this age and experience, I can understand why so many people hate or afraid of mathematics. Teaching maths should not be a collection of problem solving steps. There is more than that! And the first thing that should be said, is the content of exactly this video. Thank you so much. And I thank for the technology that provides means to communicate and share knowledge and opinions. Things were a lot different back in my studying days.

[@yuzuruyamai9526]

Well certainly I'm no good at mathematics, but this gave me a new perspective on mathematics. A perspective from a psychologist which certainly still uses mathematics in research mostly statistics (Applied Mathematics) makes me want to appreciate the complexity and the importance of mathematics in every field of science.

[@AdityaKumarSingh-h3c]

if you know in india NCERT is the main book of mathematics from class VI-XII. The structure of pure mathematics you described in this video is followed by NCERT such as IN class - IX and X chapter 1 - Number System chapter 2 - Polynomials and so on...... This show how brilliantly NCERT books are made

[@StochasticMCSG]

I remember watching this about two years ago and everything just flew over my head. watching this vid again just made me realize how much I've learned :)

[@Zeerialo]

poker0001 year?

[@Batill0]

Same

[@sambryce321]

Same!

[@tortolito56]

Same

[@kayleemuyu8184]

Can’t wait for that to happen to me :)

[@drivesmartitsanart]

This was just absolutely amazing, I started watching this video 1 second ago and now, 2 seconds later, it has been 11 minutes and no wonder I have lost track of time, this literally blew me away with many new things I did not know, but also with the BEAUTIFUL graphics and the emotional touch in the end. If all maths teachers were like you, humanity would have reached this Star Trek future and gone way beyond by now. Thank you dearly for putting this work together, respect!

[@thecubeman5197]

I love the way he pauses for a second after he says " some infinity are bigger than others " 3:02

[@abzuck5043]

He gives us some time to think about it 😯

[@android12921]

All are equal. But some are more equal.

[@XxAlexanderProxx]

@@android12921 Why does that makes sense?

[@YuvrajSingh-qy9gi]

@@XxAlexanderProxx Animal farm by George Orwell.

[@bambo418]

@@android12921 We say two sets have the same size if we can create a function from one to the other that is invertible. You could make such a function between all of the natural numbers and the even natural numbers by doubling each number. Then every element basically had a unique counterpart in the other set. So there are as many natural numbers as there are even natural numbers. However, you can show that it's impossible to do this between the natural numbers and the real numbers, proving that the infinity of real numbers is bigger than that of natural numbers.

[@BPSchauhan]

Aryabhata, an Indian mathematician and astronomer, is considered to have been one of the first to develop the concepts of algebra. His work, known as the "Aryabhatiya," was written in 499 CE. Al-Khwarizmi, a Persian mathematician, is also considered to have been one of the first to develop the concepts of algebra. His work, known as "Al-Kitab al-mukhtasar fi hisab al-jabr wa'l-muqabala," was written in the 9th century AD. Both mathematicians made significant contributions to the field of algebra, but it is generally acknowledged that Aryabhata came first.

[@moinudin6629]

I learned and taught mathematics at school and college level for over 40 years. My time with my students in the class and outside with them remains my best time ever.Now when I am enjoying my retired life I have the greatest respect from my students who themselves are grandparents. All thanks to mathematics.

[@sasuri901]

As someone that has seen the incompleteness theorems in class, incompleteness doesnt make math purely made up, it simply means that no system will answer every possible question in the system. A great example is the continuum hypothesis. Current math doesnt know whether there is an infinity between the size of the natural numbers and the size of the real numbers (the infinities you mentioned). It was in fact shown that there is no way to answer it, meaning our axioms are ok with either possibility. The continuum hypothesis suggests there are no middleground infinities. But once that axiom is put in place, there must be some other unresolved question according to the incompleteness theorem.

[@dAvrilthebear]

Thank you! Wanted to make this comment, but could not give an example, of course!

[@karthikeyavishwanatham4261]

Its not natural numbers. Its integers.

[@sasuri901]

@@karthikeyavishwanatham4261 Well yes and no. Yes in the sense that the integers and the natural numbers are the same size, so it doesn’t technically matter which you choose. However when discussing cardinality, we term a set to be countable if there exists a bijection between that set and a subset of the natural numbers. So a set is generally termed countably infinite when it is infinite and bijective to the naturals, not integers.

[@שגהש]

It makes no sense that one infinity is bigger than another, infinity is a symbol that represents something that has no end. You can’t have “more” no end or “less” no end. So the most reasonable answer is that both natural and real numbers have infinite numbers, or “the same amount of numbers”. You cannot divide infinity by 2 etc… infinity is not a number it only symbolises a never ending amount of numbers

[@שגהש]

Kind of like how 3 times 0 and 9 times 0 are the same number

[@TheTaghound]

Brilliant! I now know what it is that I so love about mathematics in a nutshell! I would have loved to have had this insight when I was teaching maths for 30 years. Some of my pupils got it and many went on to study maths in some form and have had successful careers, including professorships. At 83, I'd like to believe that kids will always remain curious about the mathematical world.

[@avidrucker]

What is it that you love, your insight, about mathematics?

[@Yoowwyawwye]

I wish i can feel like that,like my thoughts are always like “whats the point of all this whatever math languages and stuff,you wont even use it in real life”,all you need to learn is basic math,i rlly wish i can feel what it actually feels like on liking math,because im sooo interested in math,but my brain cant comprehend it

[@arianajustin3221]

Segway: if maths hurts your brain, then take a break. Chill out. #/Relax. Look up: Party with Justin's Turkey The Chill Bah Cabello Camello International Beach Holiday So Summertime

[@DiacoTaaeb]

I love this form of content. The only thing is that you should make a much longer video, to fully, in depth, explain everything.

[@leonardoparedes9823]

First, thanks for this video. In highschool I wasn't bad at math but I used to get really frustrated when I couldn't get the answer , that led me to a lack of interest in math. Now at 23 years old (turning 24) I've been in the past 1 or 2 years developing more and more interest in math cause I realized I'm really good in memorizing/remembering numbers and everything we are surrounded by is created at some point through math. I hope it is not too late for me to learn the more complex part of math but this video (and others in KZbin, like Khan academy) just give me so much energy and interest to keep studying. Each day I see videos like this one I realize more and more that no one is bad at math, it's simply lack of interest that leads to "not understanding", is impossible for a human to learn something that them are not interested in.Thanks again mate!

[@pamelafrancis4476]

I have just started learning maths from scratch and am incredibly impressed with this Map. It must have taken much thought, time, and patience to complete, even though you are expert!

[@sidrum1010]

From where did you start? I'm intersted in learning it (sorry for my english)

[@pamelafrancis4476]

@@sidrum1010 Math Antics for starters. Great for any level to build a foundation.

[@sidrum1010]

@@pamelafrancis4476 thank you very much

[@Anu32148]

@@pamelafrancis4476 can u send a link of the playlist plzz

[@RandomGuy-yf4wf]

Critical?

[@mayank_singh_0969]

I m amazed to know that I have studied almost every section of Pure Mathematics in either School or College and still I don't remember anything

[@kossiscott1002]

My thoughts exactly..

[@danielbelkin4652]

This is a pretty bad overview of pure math. Matrices and vectors are a fundamental part of linear algebra, but linear transformations, and, well, linear algebras themselves are quite fundamental. The theory of rings and fields goes unmentioned, as does Galois theory. Topology here is made out to seem like a small subfield of geometry, but it is far more complex. Really, topology should itself be a large branch of the map, containing point-set, algebraic topology, etc. Algebraic geometry is unmentioned too. "Number systems" is not a field of mathematics - it is at most the object of study of some parts of NT, which should be divided into algebraic and analytic number theory. There is no mention at all of probability in the pure side. I could go on, but this is a pretty surface level understanding of what pure math entails. Worst of all is that real analysis, functional analysis, etc, goes more or less completely unmentioned, when its basically the largest field in pure math in terms of number of people working on it? It's kind of baffling.

[@Arkan1986]

@@danielbelkin4652 Also, out of all abstract algebra sections he took only permutation group which itself only a chunk of group theory.

[@danielbelkin4652]

@@Arkan1986 The Langlands program also goes totally unmentioned, as does category theory, and formal logic is missing too... it's pretty bad.

[@nickfleece5562]

Arkady Zhelezniak *Cayley’s Theorem enters the chat*

[@Vergil4093]

channels like this makes me smarter each day and i can realize the changes in me in how i see things before if my mother said books can make me smarter then so is the internet as everything is in the internet in this Age of Information thank you Domain of Science for this as it expands my point of view of mathematics

[@ivana4638]

By watching this, I learned that I know nothing

[@yousifkhalil9655]

you're at a good level bro, i still haven't learned that

[@learnmathjadel-hawat7958]

kzbin.info/door/9zWut-PVOkVufFtVpQsYlw

[@JordanSullivanadventures]

That's a great thing about learning! :D I'm a physicist, which means I'm constantly confronted with my own lack of understanding in the face of a strange and wonderful universe, and my life's goal is to understand slightly more than I do now :)

[@terrsus]

so there' s room to learn something :)

[@Mashruumm]

College: Applied Mathematics Business: MS Excel

[@konigvonpreuen8065]

I ♥ spreadsheets

[@kumarupendra]

kzbin.info/www/bejne/r5C7qIShmM2qqKc

[@himanshu7103]

deep

[@chrissmith1152]

@@himanshu7103 learning

[@himanshu7103]

@@chrissmith1152 ?? sorry i don't get it ? what r u suggesting

[@xa7045]

I've been watching this video since the start of my journey. I come back here maybe once a year . It feels so good to have covered up some parts of this map. A dream I had when first seeing this

[@mareknovak2144]

How it is going?

[@nourdarwish4277]

I started my own journey in mathematics some days ago, I started from zero even if I know a bit of mathematics. I will do the same every single year, I will come back and check my progress insha'a Allah. 🦾🌌

[@calbarog]

Amazing summary of so much complexity. This is what we non-experts need in order to strive to learn more.

[@scottishbananaclan]

I have always hated math and have been a huge history nerd, but this video made me interested in math....somehow. good job :/

[@AIexOtto]

I dislike math aswell and enjoy history and drawing, math is very important when it comes to drawings aswell.

[@armakresnamurti]

let's go dive in.

[@julieditzler890]

Me too! I’m actually considering studying history and physics in Uni :)

[@zayn1212-z1d]

​@@julieditzler890 ooh Are you a grad student ? Which major are you taken?

[@Tanknuggets217]

YOOO SAMEE

[@tommyboy2836]

I love the way in which you describe the connections and applications of math it has really broadened my horizons , i wish we had more math teachers like you in our schools.

[@achintya-7]

I love everything about maths except maths exams

[@persistentlydriven9390]

🗣🤣🤣🤣🤣

[@khytron06]

I love EVERYTHING about maths even maths exams.

[@jacktherapper1129]

I’ve have never agreed more in my life until now

[@varuno7560]

👏👏👏

[@4th_wall511]

I watched this video multiple times before I started my math undergrad, and had no idea what 80% of these topics were about. I've just completed my degree, and now can say I've dabbled in 80% of these topics and understand the scope of the rest (more or less). I want to thank you, as I can't help but feel that all those previous viewings primed my attention towards the big picture, and now it's wonderful to see everything come to fruition.

[@syntheticfox_real]

“Math is a beautiful field” *camera pan to every college student screaming in Cal B*

[@kuntalmukhrjee3993]

They are pursuing marks and they arent really learning for the sake of it They usually get stressed because they cannot keep up with tge syllabus due to various factors

[@kwisatzhaderach9087]

@@kuntalmukhrjee3993 so true, all information compressed into three years is too much to retain. Not enjoyable and stressful

[@thetrickster9885]

what cal b tho?

[@lipstickcardigan]

@@thetrickster9885 I would assume the University of California Berkeley?

[@jakeboston5705]

@@lipstickcardigan he could also be referring to Calculus II since some schools call it “Calc B”

[@hurricane7800]

Normal person: so....Why'd you choose to get a degree in maths? Me: "to get an edge and win all those fat stacks"

[@anymaths]

watch my maths tricks and videos.

[@JesusChrist-lx4vm]

Haha, humans...

[@jackwisniewski3859]

@@JesusChrist-lx4vm says the axiomatic human of the west

[@user-us5kq2yv3e]

@@JesusChrist-lx4vm You don't exist. Gods don't exist. Hence you did not make that comment. And I did not make my comment. Boom

[@ajayajena3022]

Jakhighermsthematics

[@neureaper479]

"Education is a kindle of a flame, not a filling of the vessel" Don't be stressed lel

[@giuseppegaleotti9149]

So educating is dark souls and not hollow knight? Noted

[@autumnspring6624]

YES YES YES!!!

[@saakimin2340]

man love the way you explained everything in brief!!!!

[@DevlogBill]

I think what a lot of people don't realize is that with math there is a lot of creativity involved. To conceptualize abstract idea's by thinking out of the box and coming up with creative solutions which express through logic a method used to create action. I am referring to programming incase my explanation may seem vague. Or a perfect example would be that portion of your KZbin video where the image is magnified and your taken deeper into this beautiful abstract image which folds deeper into different layers of hues of color, that would be a perfect example of math imitating art, or simple math and art being one and the same, thank you for the video.

[@DrexFactor]

What are the odds you'd be willing to print up posters of your map? I'd surely buy one :)

[@mike-williams]

The description links to where you can buy them!

[@ghexhsdhujvcfbsdhucvrej5452]

What if I recreate this and sell?

[@LakeyProductions]

Instead of just taking someone's hard work you appreciate and finding a way to get it free show your appreciation by purchasing the poster legit.

[@Jon-jb4dq]

Lakey Hinson don’t be a sucker😂

[@caraloganadhan2399]

i would buy to

[@momo_user6lyqz]

Is it just me or the math being so beautiful that I swear I can enjoy studying this beauty however old I get

[@anditsbeautylife2880]

Ikrrr

[@Soul-cu8zn]

Same

[@deetm1502]

+1

[@avneesh7300]

Tbh it's just the education system that has ruined the beauty of math, I enjoy maths only when I'm doing something out of my syllabus and not for the sake of exams. Imagine chess being a subject...

[@Gattacacas9]

Its just you

[@michelejones711]

Math is truly beautiful and awe-inspiring. That we humans have been granted the opportunity to discover so many branches of it, blows my mind!

[@erickuhn1042]

I am finishing up my BS in Mechanical Engineering and minor in Mathematics. I recently had one of those epiphany moments where I could see how everyday physics and maths connect.

[@bcnicholas123]

This was really interesting, thanks! I only recently started to enjoy and appreciate math after years of struggling with it. The right mindset is everything.

[@shannond5350]

I completely agree. Im going back to college next year after a 5 year hiatus and I feel more confident already just after this video.

[@sangramkale3243]

Yes. Mathematics can only be understood with right mindset.

[@beulahvenicebayhon7364]

I love it! And I agree with what he said in the end. I became interested in mathematics (although not good at it) because of how amazing that when you solve numbers and equations, you will arrive to an answer that is related to what the universe offers.

[@SonGojit456]

Now You have 58 Likes And Now What is 58 x 2?

[@PRO-TUBER.]

THE THING WHICH JUST TOUCH MY HEART THAT YOU SAID ABOUT "ZERO" WHICH IS FIRST INVENT.

[@Yotam1703]

Some small-ish inaccuracies that I found (feel free to correct me): 2:39 - irrational numbers like pi aren't special because they "go on to infinite decimal points" (more accurately “have a non-ending decimal expansion"), 1/3 (0.33333...) does so just fine. They do have a non-repeating infinite decimal expansion, but that is hardly the most interesting property of them nor the best way to define them. 2:43 - the word "number" isn't really defined. If you want numbers to have addition and multiplication that play nicely (e.g. having commutativity, a*b = b*a, and associativity, (a*b)*c = a*(b*c)) then you're out of luck - quaternion multiplication isn't commutative and octonion multiplication isn't associative. 2:50 - the "exponential" isn't the name of the number you're referencing, it is 'e' (~2.72). The "exponential" is the name of a related function (exp(x) = e^x whenever x is a real number). 3:10 - the study of structures more commonly relates to the way operations interact with sets and is confusingly also named "algebra" (or abstract algebra). 3:46 - group theory, ring theory, field theory and many more iare sub-categories of abstract algebra. The explanation you're giving for what group theory is isn’t very informative at all. 4:29 - fractals aren't always self similar, they are shapes with non-integer dimension. There are shapes that are scale invariant that are not fractals, like the sqare - you can take four copies of a square which are half its size and make another square. With fractals, the amount of smaller shapes you need is not an integer power of their size. 4:43 - the fact that the mobius strip is "one surface" doesn't mean anything. It does, however, have only only one side, a property called "inorientability". 4:51 - coffee cups are not the same thing as donuts, they are just homeomorphic, meaning they can be transformed continuously into one another. 5:18 - I think you mean "derivatives" and not "differentials". The differential is a type of operator from vector calculus. 5:51 - compelx analysis is much closer to real analysis than to dynamical systems and to chaos theory (which are related to differential equations and vector calculus), assuming distance indicates closeness. 7:37 - probability, as opposed to statistics (the science of making models from data), is much closer to pure math than to applied math. 9:06 - there is no need to "prove" there is a fundamental set of axioms - each such set will give rise to different, interesting fields of math that are used to study different subjects. The results you get from picking different axioms are so varied that there are areas of math that deal just with the consequences of picking different axioms (universal algebra). Most of modern mathematics is however derived from one set of axioms called ZFC (Zermelo-Frankel + the axiom of choice). 9:11 + 9:25 - Godel proved that a strong enough axiomatic system wouldn't be able to prove it is complete (meaning every theorem has either proof or a disproof) unless it inconsistent (it has contradictions). This means that in any set of axioms free of contradictions, there are unprovable statements. Ex: in ZFC, the continuum hypothesis isn’t decidable. If we assume ZFC is consistent, then both ZFC + CH and ZFC - CH (ZFC plus the assumption that CH is false) are consistent. 9:33 - everything is made up. The fact that mathematics can be used to model the universe doesn't contradict that. This is not a consequence of Godel's incompleteness theorems. The philosophical talk about Godel's incompleteness theorems triggers me to no end, but otherwise - the video is fantastic with outstanding visuals. I Love the way parts of the map get colored light and dark as you go through them. Addendum: many if you are asking me for tips and resources for learning more math. First, I’m incredibly flattered you think I know a lot of math :) in fact, I probably know less than the average math undergraduate. I mostly know the type of rigor that is “this is almost correct, but not quite accurate/rigorous/general enough”. This lack of mathematical rigor was very apparent in this video since it tried to address an average audience. Second, all of the math I know i learned on the the internet! Resources like: Quora (Alon Amit, Senia Sheydvasser, the space “Mathematical Pedantry”), blogposts (mostly Hebrew, sadly) and KZbin videos (3blue1brown, mathologer, numberphile). Also, as my friends often shame me for, I read Wikipedia articles on mathematical topics on my spare time. Reading about math is very much like browsing social media for me, in a procrastination-y way ;) I hope it helps all of you to make your dreams of knowing math come true :))

[@SAAARC]

Gold

[@eyueltessema5708]

Thanks for this. It's a great video but his misunderstanding of Godel's incompleteness theorem really bugged me

[@user-yv8bw3zf6n]

This comment is great and was badly needed. It should be the top comment to this video. I shall jump at the invitation of adding stuff. Concerning the topology remarks: this whole one surface thing is really a problem of "embedded understanding"! Topology doesn't require the structures to be embedded in some higher dimensional space! That's why the above comment on "inorientability" is important. In order to understand the Möbius strip one should consider line bundle topology as a special case of fibre bundle topology. I don't think that the cup "=" doughnut is technically wrong because he adds a vague "topologically speaking" which implies just what the above comment clearified, that is "homeomorphic". For topologists "being homeomorphic" is precisely "being (basically) the same", although this is clearly only obvious to people familiar with the concept so... maybe this helps shedding some light on this matter ^^ Finally, I would like to add to the whole "why does nature use maths?" subject because I think it is outrageously interesting and somewhat underrated a topic! I highly recommend the article "The Unreasonable Effectiveness of Mathematics in the Natural Sciences" by Eugene Wigner - it does what it says and is totally worth your time. It's available here: www.maths.ed.ac.uk/~v1ranick/papers/wigner.pdf Edit: I came back add that, in fact, physics (as the first example of applied maths) does provide insights for mathematicians as well. So there's things to be learned about pure maths from physics, which is neat. This is happily touched upon in a fun talk by David Tong; a talk, he slyly named "The Unreasonable Effectiveness of Physics in Maths" and that is available here: kzbin.info/www/bejne/i4fYfKyQadV1sMk

[@finwefingolfin7113]

Also , he completely failed to mention Clifford Algebra (Geometric Algebra) which is critical to the study of vector spaces and can be seen as the fundamental mathematical language of physics.

[@SuperDrim]

Yeah no doubt all very valid points perhaps there's a way to make them understandable to a general audience and fit them in a short video summarising the whole field of mathematics?

[@sadiakhalid92]

This video is perfectly optimized. It provides the most concise map of mathematics with the maximum information and it was really entertaining to watch.

[@davidgago826]

I think that I might show this video to my classes at the beginning of the school year to show them how math is interconnected!

[@XxAlexanderProxx]

@@nobody7817 LOL

[@D.KlWA-aG]

The virgin group

[@danielblich8854]

math is a godly language, thats why we think it inconsistent with itself. it's consistent with a higher level of quantum logic.

[@pokeyujie1987]

Each sentence he says is what I spent 1 semester in Uni learning

[@bulkboys5122]

kzbin.info/www/bejne/oZ2qmpKNj5Zqi5I

[@malkidrs4520]

10:24 exactly this... like after i learnt how some type of math work and understand it, i just subconsciously feel that it can be used everywhere in the universe for something, like it has an absolute purpose, then i can feel some sort of dopamine rush after preceding to do a few more questions on that certain math 'pattern', which gives me confidence and more faith in my maths.

[@JordanSullivanadventures]

Yessssss! I so wish that more of the juicy interesting math was taught in primary and secondary school -- so many people mistakenly believe they hate math, but in reality they have only seen a tiny corner of the possibilities!

[@fullmetal929]

3:05 Hahaha, I like the moment of silence for "some infinities are bigger than others."

[@shaf_7579]

Great job buddy. I was having a pretty rough day studying Biology 😭 So came into KZbin for some refreshments and got your video. Really an interesting video. Made all my fatigues go away.

[@unrestrictedpot3003]

@@DefinitelyDrained depends on the type of biology. biostats and biophysics is hardcore

[@pgopa]

Awesome map of mathematics!! I wish I had known this when I was studying pure maths at an introductory level - specifically how it connects and comes together!!!

[@HereIsKhansu]

My teacher : ~Explaining... Me : I can't take this anymore :C KZbin : *Recommend this* Me : It's that simple? :D...

[@homursumpsen8748]

"simple"

[@topaznico3414]

maybe u r the kind who needs to see the big picture first before the details though there r others who need to see the details first before the big picture

[@BlacksmithTWD]

@@topaznico3414 indeed, people who don't have a preference for either a top down view or a bottom up view are rare. People who are aware both are valid ways to get to the truth and as such prefer to know about and are able to understand both are even more rare. Most people are quite reluctant to changes being made in their model of reality.

[@topaznico3414]

BlacksmithTWD oh but i never knew what i prefer or which one i am so i read abt both of them yet i agree with both :/ hence, i took a test to find out which suits me better so that i can study more efficiently i ended up with 49:51 for detail oriented vs big picture i consider myself rather common and average though and also bcos i dont hav one that suits me very well idt i can excel lol cos both suits me moderately only how do u know it’s rare?

[@BlacksmithTWD]

@@topaznico3414 I don't know about the test you took, perhaps my concept differs from the concept the test intends to convey. In my concept bottom up approach starts with quantum physics, top down approach starts with god. I doubt the test took it to such extremes. The human experience tends to start somewhere in between, that's why I consider those who have no preference rare, since most humans seem to pick either one or the other, but seldom both. I don't have any formal statistical data on this, just my personal experience.

[@pseudoexpertise]

I've been watching that video probably six years ago. It was "okay" or "kinda nice". Now as I'm taking courses for the second and fourth semester (weird situation) I decided to rewatch this video and it was so so exciting! You really nailed it! I started making a sort of "to-do list" for myself to get an overview of what I actually know in order to make a proper scedule. This video was really helpful. it matches my internet research - except it's beeing a little bit better.

[@KkMandal-um8np]

7 8

[@nikolasdoubouridis9244]

keep up the great job, you should do one for chemistry some day

[@twanwilting3770]

+ Biology, History, programming/Ict , ... C:

[@TheMarkussMC]

We need a chemistry one

[@AweboElAldaiir]

Yeah , it would be the best !

[@prashantraghu5202]

nikolas doubourhydes we dont need chemistry.. chemistry is leech

[@bestenoyan4128]

We definetly need chemistry. Its fundamental

[@ankkol2011]

Believe me , everytime I feel bored on any subject I hop on to your maps to see its origin and application. And that kinda motivate me to learn it.

[@mire1390]

In my opinion, that is what differentiates a student with understanding from a student with knowledge. Curiosity is a great motivator and the beginning of knowledge. To understand the value and importance of something is a great motivator to keep learning it.

[@3Dusers]

0:58 hey look the arabic letters arent jibberish its literally Alm AlJabr Alm more read as ilm, word for knowledge. Al Jabr for well Algebra So the Knowledge of Algebra aaaaa pretty details

[@fireflies15]

riiight! I was happy when I saw that

[@samirfakoua]

I can speak Arabic pretty fluently, but struggle to read it😂

[@mrepic8129]

@@samirfakoua how is that possible at this time ?

[@sunnyk3770]

@@mrepic8129 I can speak 6 languages but can't read or write in two of them. If you grow up speaking a language, you don't necessarily have to be able to read or write it because certain languages have very different scripts.

[@kameliyaoppal]

mr epic what is possible?

[@Icefieldz]

This is incredible! Great explanation for such a wide coverage of mathematics.

[@criticadordevideos5369]

I would like a T-shirt with all the map ;)

[@kumarupendra]

kzbin.info/www/bejne/r5C7qIShmM2qqKc

[@chewinggum5550]

@@kumarupendra LOL I thought the link would take me to a T-Shirt. again, lolololol

[@kumarupendra]

@@chewinggum5550 u r real baklol in this world

[@lavinku6717]

7

[@MM-uw5uj]

kumar upendra umm what does that mean

[@GraveTraine]

This made me want to study math in school even more!

[@kelisiwe444]

then you start studying and question 1 already messes you up.💔😪

[@_carrbgamingjr]

@@kelisiwe444 then quarantine hits

[@retrofilmwork]

@@_carrbgamingjr then vaccine hits

[@seanmatthewking]

Pineapple Head XD Then mutated people hits aka x-men aPCka x-people.

[@nameisrango]

@@seanmatthewking then apocalypse hits

[@joubinlee3944]

This helped me so much, my friend who is a genius when it comes to school education and he used this to get a basic foundation of where I am so we know where to start, thanks so much, you gained another sub! Keep up the great work! (: I know it’s a lot of work but I would love to make a very in depth video, one for each of the subjects you mentioned in this video!

[@newwaveinfantry8362]

More things that can be added: Split geometry into algebraic, projective, hyperbolic, Euclidean, analytic, arithmetic, discrete, tropical. Add ring theory, field theory, Galois theory, commutative and noncommutative algebra next to group theory. Split topology into differential, algebraic, point-set, infinite-dimensional and applied. Split differential equations into ordinary, partial and maybe stochastic. Add mathematical modelling on the applied side between physics and differential equations. Add functional analysis, fourier analysis, calculus of variations, optimal transport, hamiltonian analysis. Add model theory and topos theory in the foundations section.

[@leonardoorellano6652]

i think its great he had statistics there but what about operations research... is it inside "optimization" ?

[@BeauFuller]

This needs to be a required watch for anyone declaring a science/engineering/math degree coming out of high school, seriously.

[@ronmalgeron7525]

When in math class: I hate this 1 AM in youtube recommended feed: Pog Math

[@countablyinfinite4904]

I used to think I was good at math in high school. Then university came and I get destroyed by discrete mathematics cause it’s much more theory than calculus or algebra

[@areenageorge4732]

That's so true

[@silky_merkin]

No matter how good at math you are, there is always something harder.

[@memersm8251]

i was good at math in high school too so i became a math major…i didn’t realize that math is so much more than just calculus and algebra until it was too late haha

[@alkasharma4115]

@@memersm8251 how much discrete maths is in bsc?

[@power2657]

I am currently doing Discrete/Decision maths at A level and I don't find it too hard but still, I only went thru 2 chapters so yeah.

[@yanakaizzz9335]

You know, I watched this to refresh my understanding of mathematics since school. While googling Bayes Theorem I realised that I developed a talent for probabilty mathematics through playing Warhammer 40k. Had my teachers been aware of what my parents labelled an obsession from the stand point of its component skill set, then they could have expanded my natural interest into practical fields and I would be much more likely to find an enjoyable career pathway sooner (or for some at all). Thankyou Domain of Science. You have a new subscriber today!

[@untermann322]

No, game theory is about a guy who talks about fnaf for a few years and then decided to make emotinal videos. Trust me, I have a PhD on this

[@pongangelo2048]

lol, you're right. But his emotional video about the guy who called all the advertisers to pull out on KZbin was on point, entertaining and not useless. ...in comparison to his current Game Theory videos.

[@untermann322]

@@pongangelo2048 yeah agreed

[@FrancisGoForever]

Clever girl.

[@ArstotzkaEmpire]

Dir Hell one of his coworkers died but aside from that fact everything they did is bullshit. Their videos are terrible and are not even accurate. Plus they just make outrageous claims and call them theories.

[@HELLO-cn9gx]

That's the problem about matpat. I remember watching his Fullmetal Alchemist Video and he got his stoichiometry incorrect. Loads of people were buying his trash (he came to the correct conclusion but with wrong calcs). The funny thing is, HE NEVER ADDRESSED HIS INCORRECT CALCULATIONS. No annotations, no disclaimers, nothing. The guy can't admit he's wrong. It also showed in his For Honor video where everyone was criticizing his video which he ignored as "hate" throwing in constructive criticism into the same bin. I think both his ego and his brainless fans are what has really torn down his channel.

[@corruptbytes]

ah yes, a list of things that lower my GPA

[@youkids123]

Too real.

[@sameerachaganti8137]

a map*

[@nicewhenearnedrudemostlyel489]

you lower your own GPA. lol. noone but you has any effect on it. maybe that kind of thinking is why you cant understand basic human concepts.

[@projetobrava848]

r/iamverysmart

[@anupkumargupta3915]

@@sameerachaganti8137 Only a few will get that (y) :D

[@arefeshghi]

While studying math in high school, we had different subjects related to math, including linear algebra, geometry., calculus, differentials and integrals, etc. I always thought these are very related, why doesn't our teachers start by telling us about the relation of these topics and then start lecturing us?! I went to the university, having the same question until I drew a semi-map in my mind for myself while I was doing my Masters! By the end of my PhD, I had a relatively good map in my mind! :))) But I'm glad that finally someone answered my question, almost comprehensively! Thank you! :) A related note: In my point of view, the interesting is that our brain loves creating categories and then, making relations between them, and by this, learn stuff. And this is one of the best methods to create machines that understand and make sense of the stuff.

[@behavior2836]

Your way of speaking starts high, but then lowers. It also starts fast, but as you end you slow down. I noticed this and couldn't unhear it. Great video!

[@einSteppenwolf]

9:55 Complexity theory is not about _"what is and isn't computable"_ but about the amount of resources needed to compute what is computable. What is and isn't computable is the subject of _computability theory._

[@einSteppenwolf]

@Tom Golden I just wanted to point out an inaccuracy. Let's call the area "computability and complexity (theory)."

[@nicewhenearnedrudemostlyel489]

@Tom Golden if it isn't notable enough to have it's own section, why does it have it's own name? i think nebraska is basically idaho, but with corn. irrelevant, because they're part of the USA, which is part of north america, part of our hemisphere, on the planet, in the solar system, in the galaxy...

[@cliffchen7428]

You should make a poster of this! Great video, such a great way to generate interest in new subjects to learn

[@beerichm5]

I felt the same way about physics in HS. What I've learned is that every new learning reveals more I don't know and that the volume of what I don't know grows faster than what I do know. This makes it entirely worthwhile.

[@1992ilikepie]

I need this map but for philosophy (ranging from religion to western psychology), science, and computer science/IT. Beautiful!