Thats not posible as the number that you mentioned is so big that even if the youtuber was saying "this is a branch of math once every milisecond it would still take about 23125897009712.172 years to say .Which is not posible as the video is 8minute and 49 seconds long.
The original invention of game theory was made in 1176 by Mattheus Pattheus, although the popularity of it only spread around the world in 2011 - 2024. By his descendant, Matthew Patrick, and he found all the papers "del theory of games"
One has to note that the entirety of mathematics can't be categorized in such a simple way - there are many more fields, and different ways of categorizing them, as well as intersections between fields. For example: real analysis, probability theory, discrete mathematics, algorithms, graph theory, abstract algebra, algebraic topology, group theory, category theory, dynamical systems theory, etc.
"Every" is very generous. Not even abstract algebra. Also geonetry isnt for understanding the world around us, look at non-euclidean geometry for example.
@@f_i.0587 Ok ok valid... but we also live in 3 spacial dimensions, so the study of higher dimensional objects then would be an example of where geometry doesn't overlap with reality. (idw to hear ANY string theory comments)
@@picardcook7569 Well, string theory is contentious at best; just because there may be applications doesn't mean that is IS the study of our world. It's maths for maths sake which we then find applications for later
@@omarrihani2599 Literally all of physics is a model. The widely accepted models are just the ones that seem best at describing the world. And considering numbers are a part of our reality, even pure math is a description of the world.
So, we are now entering the era of auto-generated videos, that slowly and monotonously recite chatgpt output. Or at least i do hope it is a beta version of such functionality.
Additionally, speed could be defined as sqrt ((dx/dt)^2 + (dy/dt)^2) Distance being the definite integral of that funtion Calculus still has to do with these just, in a different way than the video explained
Trigonometry is the a branch of mathematics that involves the study of angles the relationship between circles and other geometric shapes, not triangles. It is an elementary practice to symbolize the trigonometric functions as the relationships of triangles.
Arithmetic = operation with nºs and operators. Algebra = use letter and symbols to solve problems. Geometry = study shapes and spaces. Trigonometry = study triangles and angles. Calculus = Deal with changes and motion, envolves derivates that describes rates of changes and integrals helps to find the total amount of changes. statistics = collecting and organizing data Number Theory = properties and relationships of numbers Linear Algebra = deals lines, planes and spaces using equations and matrices helps system of equations. Differential Equations = How things changes, rates of changes. Topology = properties of spaces and deformations, not tearing neither gluing. Logic = Rules to true or false using statements. Mathematical Physics = Math used for Physics. Theory Of Computation = Set of ideas using algorithms and computers on how computer can work. Information Theory = How information is transmited and processed. secret codes and how eficient can transmited. Game Theory = choices in strategic situations to the best result.
Not entirely correct. Mathematical Physics is not simply "Math used for Physics." While mathematics is fundamental to all branches and areas of physics, they are not classified as mathematical physics. Mathematical physics specifically focuses on studying the underlying mathematical foundations and principles of physical theories. It is classified as a branch of mathematics, rather than physics, and aims to deepen our understanding of mathematics through the insights and applications derived from physics. For example, theories like string theory have contributed to the development of new mathematical concepts and techniques that benefit various areas of mathematics beyond physics.
Hey, I saw some people making kind of rude comments without really giving a constructive criticism, so I just wanted to do it myself. I must agree that your video really simplified the fields of mathematics, nobody expects you to give an in depth explanation of linear algebra or calculus (here I would prefer mathematical analysis) in a video which is meant to be "as short as possible", but maybe mathematics wasn't the greatest topic to choose for this kind of video. First thing that I would change about this video is instead of "types of mathematics" I would choose "fields of mathematics". Now you can just focus on "higher" mathematics and you don't really need to mention arithmetic, etc. Or maybe you could do a kind of timeline of mathematics? But nonetheless there is just so many fields of mathematics. I don't feel like a video of the first format that I just suggested would be possible in a satisfying way... Second thing: To give an example i am refering to your calculus explanation. If you want to describe a field of mathematics it would be better to focus more on terminology from mathematics, in this example you could mention limits, derivatives, integrals and maybe mention that it generaly operates with functions. I'm not saying your example with speed and acceleration was wrong, if you would like to take this path how about a video on the topic of "Real world problems solved by a particular field of mathematics"? But if you don't separate mathematical terminology from real world applications of the field people could get the impression that calculus cares just about speed/acceleration. I could brag about how you didn't mention galois theory in a 9 minute video that claims to mention every type of math, but instead I hope my feedback will be of more use.
If you talk about 'fields of mathematics', then every axiomatic sysem defines such a field. The list of fields of mathematics would be not only infinite, but would even be infinitely uncountable many.
@@konradswart4069 I think I suggested some division like the way mathematics is divided into fields at colleges. But I get your point, if you want to literally name every possible field of math (even the ones that haven't been constructed yet) there would be an infinite number of them.
@@Rohit-cj6eb “uMm aCtUaLlY GaMe tHeOrY Is a sUbJeCt iN AiMl cOuRsE ThAt bLaH BlAh bLaH BlAh wItH ThE HeLp oF AlPhA BeTa pRuNiNg” 🤓👆 Like bruh if you’re gonna be a nerd when someone says a joke on RUclips alone then you might as well stop using social media all together
I also thought that trigonometry was too simplified... It have relations to triangles, but it is way more than that, he doesn't even mentioned that in fact the triangle is used to study circles and cycles. The few examples he gave does not guide one to understand fully the areas of application. He literally said a slight modified version of the wiki introduction to trigonometry.
Logic isn't a type of math, though. Math is a type of logic. Logic is the "science of reasoning correctly," not just quantitatively as in math also qualitatively in arguing about concepts, facts, etc.
As far as I know did the two mathematicians or logicians "B. Russel" and "A.N.Whitehead" write the three-volume work of "Principia Mathematica" (PM) to try to proof that the field of mathematics is a subfield of logic. Gödel who read their work started the proof of his "completeness theorem", which actually lead to the conclusion that it can't be proven within the system of logics that the field of mathematics is a subfield of logic. The proposition can be given, not the proof. So as far as I understand, there is no bigger attempt to proof this than PM or a valid one, which opens up that if these propositons are true, it might be better to see logic and mathematics as two seperate fields with an uncalculated % of congruency. Greetings Léna
Not every type of mathematics. To mention a few big one's missing:. abstract algebra, Category Theory, Tensor Algebra and Tensor Calculus, Differential Geometry, Clifford Algebra and Clifford Calculus. And one that hasn't a name yet, which you might call: higher dimensional trigonometry. There are 2 two-dimensional trigonometries, namely complex analysys and hyperbolic complex analysis. There are 8 different 4 dimensional trigonometries, one based on the quaternion, The other based on the anti- quaternion. And there are 6 others. There are trigonometries of every dimension. See the RUclips videos of Dennis Morris.
Mathematics encompasses a diverse range of branches, each playing a crucial role in understanding the world around us. From arithmetic, which forms the foundation of basic calculations, to algebra, geometry, and trigonometry, exploring relationships between numbers and shapes, these branches provide essential tools for problem-solving. Moving into advanced areas like calculus and statistics, we delve into changes, patterns, and data interpretation. Specialized fields like number theory, linear algebra, and differential equations offer deeper insights. Beyond traditional math, logic ensures the soundness of our reasoning, while mathematical physics explores the physical world through equations. Further into the realm of computation, the theory of computation and information theory help us understand the capabilities and transmission of information. Game theory, a fascinating branch, analyzes strategic decision-making in interactive situations. Each branch contributes uniquely to our understanding of the mathematical universe.
Complex analysis might be included in calculus (as well as differential equations), but for example category theory, combinatorics, numerical methods, graph theory and measure theory are not included in the video
@@daaa2299 thanks for the comment, I didn‘t really know it could be associated with calculus. You seem to know what you‘re talking about edit: I also said the wrong type of math, Idk why I threw complex analysis in there but I meant discrete math. Wow I really should read my comments through before posting
@@daaa2299 Despite poor explanation they are mostly included: combinatorics is probability, graph theory is discrete math(which is labeled 'logic' here for some reason), measure theory is obviously 'real' analysis so it is calculus as well and numerical analysis is not a math subject but more of a 'tool' paradigm.
@@salvlox_ shortness should not be an excuse to do an oversimplified and partially wrong video. If he didn't want to make a longer video, the best option would have been not to do the video whatsoever. Main reason is that if you talk about a field you don't know, especially math, you are going to say some bullshit. I'd suggest him to make videos about more "easy to research" topics.
@@niccolocervelli7569Yes, some parts of the video are incorrect due to brevity. But it kinda has to, because it is only meant as an overview into the topic. The Paint Explainer, for example, went into different types of democracies and such, and he didn’t give all the intricate little details that make it 100% accurate. This video should be taken with a grain of salt, yes. But was it worth to make? Also yes.
@@salvlox_-algebra: it studies groups, rings, fields and other algebraic structures, not at all what he was talking about, which is middle school algebra. Before you say that I'm talking about abstract algebra, and not algebra, you should know that this distinction does not exist outside middle/high school, if someone is talking about algebra in the mathematical world, he is referring to abstract algebra. -trigonometry: it is more like the study of trigonometric functions, even tho they are defined using triangles, and can be applied to geometry, and it is not a field, it is just 1-2 chapters of a analysis textbook -calculus: no one studies calculus on a serious level, it is called analysis, and it extends far beyond slopes and areas, it can concern also complex analysis and differential geometry, just to give an idea -linear algebra: it is the study of vector spaces, he talked about probably the first 3 chapters of a bad LA textbook, and it is muuuuch more general than just studying planes and spaces, even tho they are vector spaces. Applications can be found in spaces of functions too, or graph theory, or groups, or whatever you can imagine -diff eq: not a field, is a part of analysis and uses linear algebra too -mathematical physics: it is just physics -logic: it concerns more the foundations of maths, because when was first developed math wasn't rigorous as now, and is strongly related to set theory I'd add -statistics: he talked about the word statistics as it is written in the dictionary, while mathematical statistics is different and uses a lot of made up things that for some reason work in the real world -number theory: much deeper, it can also use analysis and other various fields and its purpose is far wider than finding relations between whole numbers The list goes on but this seems long enough already
3:40 -The twin prime gaps become wider because the bigger numbers generally will have more factors thus less chance to have none and if they don’t that that’s what a prime number is. So yeah, you could actually kind of think of it as a limit from 2 -> infinity and approaching it there is a formula / function for prime numbers like (X sigma from 1 - 9 or something) and if it fits 0 then prime and then plus 1 of X fits that same function perameters then it’s a twin prime and the distance between them will become bigger. The gap “G” will trend towards infinity.
Good effort but there are atleast 100 problems with it few of those: 1.Differential equations is also calculas. 2.Linear algebra is much more than what u mentions its not just about matrices even if its huge part of it. And fun fact mostly used for computer graphics. 3.Theory of computation has more to do with study of formal grammar and languages than computers or Algorithms only Recursive set and REL are turing languages which computers are. And also these are used for compiler designing which also has to do with languages more than computers. 4.Discrete mathematics is core branch of mathematics u completely omitted Logic is just part of it. Probability set theory group theory relations mathematic logic syllogism argumentation and graph theory. 4.Trigonometry is not just about triangles even tho thats what name suggest as it was derived by studying triangles but its more diverse mostly in circle and wave. Trigonometry is also useful in computer graphics and calculas.
Here are a few good ones you left out: Group theory, abstract algebra, combinatorics, Fourier analysis, orthogonal functions, integral transforms, dynamical systems, chaos, fractals, measure theory, category theory, and algebraic geometry.
Here is the math branches/courses that I took in order: Arithmetic/Pre-algebra (K-7th grade) Algebra 1* (I took this in 8th grade [I took Honors Algebra 1 in 8th grade and it was a piece of cake]) Geometry* (I took this in 9th grade [I took the Honors version of this class]) Algebra 2 with Trigonometry (I took this in 10th grade [I took the Honors version of this class]) Pre-Calculus (I took this in 11th grade [I took the Honors version of this class]) Statistics/AP Statistics (I took AP Statistics in 12th grade) Calculus 1/AP Calculus AB (I took Calculus 1 in my first semester of college) Calculus 2/AP Calculus BC (I took Calculus 2 in my second semester of college) Linear Algebra 1 Calculus 3/Multivariable and Vector Calculus (I took Calculus 3 and Linear Algebra together in the first semester of my sophomore year of college though I did not pass Calculus 3 the first time.) Differential Equations (I took that class in my second year and spring semester of college along with Calculus 3. I did not pass Differential Equations the first time but did pass it on the second time just like Calculus 3. I found Calculus 3 and Differential Equations about the same difficulty for me. These were the last math classes I took.)
We often overlook the fact that mathematics is one of the most complex fields after quantum mechanics. The deeper we delve into it, the more we realize its vastness. No single video can comprehensively cover everything, but this one aims to be beginner-friendly despite some comments attempting to be overly clever.
"Topology is a branch of mathematics that deals with topological structures." What a great help. Would be cool if someone made a serious extended version of this that wasn't useless.
Your comment doesn‘t make sense, his goal was to do a short video explaining what the fields of math he is showing are about. Explaining these fields in simple terms isn‘t only to save time but it‘s also the type of content he wanted to produce, there are more and more videos of this type on youtube which go over by example all the ideologies or all the programming languages often in about 6 to 14 minutes. Another thing is that in order to know that you truly know and understand a subject of any field like "thermodynamics" in physics you have to be able to explain it to a 8 year old, that‘s what he did, he explained what a 8 year old could understand and he explained it in a way an 8 year old could understand it. This doesn‘t mean he masters math, but my point is that not only was his video meant to be short and not go over the full field but also that explaining in terms everyone can understand it/not throwing complex vocabulary around isn‘t necessarily a lack of understanding of the given subject.
@@Futurephysicist2first i don’t know so much about physics,not yet Second thing it not only about the explanation but also about the person you explain to if he is putting effort Third, arithmetic is not just about simple calculations, any calculation is arithmetic…etc Algebra is much more …. But he explained topology good
@@Fatehakhrib Not wanting to make a harsh debate, but what part of Algebra wasn't covered that would need to be, and isn't a part of Trig, Linear Algebra, or Geometry?
@@rosswalenciak3739 If someone watch this with out any previous knowledge he would take a wrong picture of almost everything . Did you study abstract algebra ? If you didn’t I get you,but if you did. Start again
What about analysis, partial differential equations, diophantine equations, or abstract algebra? Also, you mentioned differentiation and integration, but there's also the Sigma function, which tells you to add up a certain number of specific terms, sometimes an infinite amount which still sometimes converges to a number like the sum from 1 to infinity of 1/n^2, the Pi Function, which is the multiplication of numbers, and the Gamma Function.
He basically omitted whole descrete math. Set theory Group theory Relations Graph theory Probability Etc Only he touched was logic which is just extension of relations or argumentation
@@charlesmagnus742 Sure, so is Number Theory and Linear Algebra, but they're on the list. And Differential Equations are on the list even though it's a branch of Calculus. And he doesn't even mention groups at all in the video.
I will show that numbers are built from images Example , 4 always represents 4 images, like 4 squares for instance. To be specific numbers are "labels" for groups of images 1. The main idea here is that maths is built from images (a) example , geometry is clearly made of images b) example 2, We claim numbers are built from images too, as say 4 , always represents 4 images, like 4 squares for instance. C) imaginary numbers are connected to images too , which is why they have applications in physics D) In general any mathematical symbol that comes to mind is connected to images too.
I don't know what other people are upto but this was a fantastic overview on the branches of mathematics for me or anyone who is starting out, Ly bro ❤
Very good video , but it lacks rigor, it is noted that algebra is part of arithmetic as well as topology, trigonometry are part of geometry, the diferential equations are part of the caculus and I'm not going to correct everything but be careful with this kind of subtlety !!!!!!!!!!
I wouldn't say this list goes through EVERY type of math, but I'd say you picked out the most important ones and the ones that most people can relate to, as well as those with the most practical applications.
So... I found this observation. 2+2,(addition) 2×2,(multiplication) 2^2,(exponentiation) and 2 tetrated by 2 are all equal to 4. ( n^n^n^n is n tetrated by 4) So, I think it might go in forever. Does this fall into number theory?
To be honest with you, i think this video is made by AI from the monotone voice and from the comment section everything seems to be wrong? If not for checking the channel itself i think this video is AI created
I dont know if you will read this comment, but there is a spanis acount that has reaploaded this exact video coping the idea but not the images, even the thumbnail is the same, I have writen him a comment on his video telling him to atleast put some short of credits, but idk if it will help. Thats why i write you this comment, just for letting you know
Embarking on a captivating odyssey through the vast landscapes of mathematics! From the rhythmic dance of arithmetic to the intricate symphony of differential equations, each branch unveils the secrets of our numerical universe. Mathematics, a language that deciphers the patterns of existence, revealing the beauty in every equation.
Now combine a two and you get- Algebraic geometry (Algebra+ Geometry), Algebraic topology, Arithmetic geometry (The hardest). This is when things get nightmarish.
Huge,huge flashbacks to my high school and early college years. I was really strong in higher math. I enjoyed it so much that I found and purchased the textbook we used. While I did learn beyond calculus, and had a grasp on subsequent topics, college worked more to stifle me than encourage me, and I lost interest. In high school I remember a guidance counselor calling my mother and I into a meeting about my sophomore IQ test. He was very cautious about what he said, but eventually revealed that my IQ was 151. I had no idea what that meant, and neither did my mom. I continued strong in math and science, totally oblivious. College crushed that along with other personal issues. Through my adult career I've had flashes of brilliance. I was even able to meet the writer of a software program I was supporting for my employer because I was considered the most knowledgeable on the west coast of the United States. At the time these things did not trigger in my head. It's only in hindsight that I am realizing these things.
I think he posted it at a slower speed than what he recorded it at. If you go to RUclips settings and bump the speed up to 1.25, it sounds more normal.
![Megan Thee Stallion - Roc Steady (feat. Flo Milli) [Official Video]](http://i.ytimg.com/vi/HozPPyqW0dY/mqdefault.jpg)
![The most beautiful equation in math, explained visually [Euler’s Formula]](/img/1.gif)
Bro said “this is a branch of math” like 729,298,288,098,283,111,835,383 times💀
maybe because it is?
@@alberb maybe beacause it is branch of math
Thats not posible as the number that you mentioned is so big that even if the youtuber was saying "this is a branch of math once every milisecond it would still take about 23125897009712.172 years to say .Which is not posible as the video is 8minute and 49 seconds long.
@@nitinmaharana3706 which formoula did you use here
@@faisalhrbk I used basic arithmetics
7:25 Game theory was invented in 1176 by Mattheus Pattheus to more specifically describe all the ways in which games function and the lore behind them
_Oh I see what you did here_
But that’s just a theory
@@YontoBonkoA game theory
Actually, it was invented in 1987, but that’s just my theory
The original invention of game theory was made in 1176 by Mattheus Pattheus, although the popularity of it only spread around the world in 2011 - 2024. By his descendant, Matthew Patrick, and he found all the papers "del theory of games"
you can tell he was bored out of his mind making this video
LMAO
prolly he was thinking |"why the feck am I even making this vid "🤣
I love men
I love women
I love dogs
Blud is reading chatgpt
Bro is chatgpt
"blud" - 👶🤓
shut yo ass up
@@SackbotNinja03 fr
bro doesnt care he just need views and likes
@@StoicismAspects Your perception is flawed.
One has to note that the entirety of mathematics can't be categorized in such a simple way - there are many more fields, and different ways of categorizing them, as well as intersections between fields. For example: real analysis, probability theory, discrete mathematics, algorithms, graph theory, abstract algebra, algebraic topology, group theory, category theory, dynamical systems theory, etc.
ok
ok
whatever 😴
@@BluezDrako Peasant.
@@BluezDrakoSNOB ALERT
"Every" is very generous. Not even abstract algebra. Also geonetry isnt for understanding the world around us, look at non-euclidean geometry for example.
Actually 🤓👆 we live in a non-euclidean universe
@@f_i.0587 Ok ok valid... but we also live in 3 spacial dimensions, so the study of higher dimensional objects then would be an example of where geometry doesn't overlap with reality. (idw to hear ANY string theory comments)
@omarrihani2599 "Ok I was wrong, but I'll ignore that. Please don't mention other examples of supporting evidence even though I know they exist."
@@picardcook7569 Well, string theory is contentious at best; just because there may be applications doesn't mean that is IS the study of our world. It's maths for maths sake which we then find applications for later
@@omarrihani2599 Literally all of physics is a model. The widely accepted models are just the ones that seem best at describing the world. And considering numbers are a part of our reality, even pure math is a description of the world.
Love the enthusiasm keep it up
Hahahahahahahahahaha
everything about this video is so unintentionally funny
So, we are now entering the era of auto-generated videos, that slowly and monotonously recite chatgpt output. Or at least i do hope it is a beta version of such functionality.
Yeah this is the 5th paint explainer channel I’ve seen
if you dont like it, just dont watch nor comment.
@@Kevoc_Studiosince when people are forbidden to criticise?
@@CarlosCosta-gp4dvRUclips is not metacritic.
@@Kevoc_Studioyou have such an idiot mentality to say something like this 😂
Calculus goes from displacement to velocity to acceleration, speed and distance and two different formulas outside of these
I’d like to add that displacement refers to a position function as time progresses. This guy is correct about the other stuff though.
Additionally, speed could be defined as sqrt ((dx/dt)^2 + (dy/dt)^2)
Distance being the definite integral of that funtion
Calculus still has to do with these just, in a different way than the video explained
Trigonometry is the a branch of mathematics that involves the study of angles the relationship between circles and other geometric shapes, not triangles. It is an elementary practice to symbolize the trigonometric functions as the relationships of triangles.
Why do you think it’s called tri-gonometry?
Tri - gonometry involves study of triangles, tri- in the sense three angles. How can we study other shapes and circles.
@@Saidulu-ds2wf the term trigonometry is a misnomer, you can use trigonometry to study higher order polygons, not just triangles
@@trevorlee9949 thats because triangles are the most basic polygons, and they appear everywhere, thats why trigonometry is so useful
Arithmetic = operation with nºs and operators.
Algebra = use letter and symbols to solve problems.
Geometry = study shapes and spaces.
Trigonometry = study triangles and angles.
Calculus = Deal with changes and motion, envolves derivates that describes rates of changes and integrals helps to find the total amount of changes.
statistics = collecting and organizing data
Number Theory = properties and relationships of numbers
Linear Algebra = deals lines, planes and spaces using equations and matrices helps system of equations.
Differential Equations = How things changes, rates of changes.
Topology = properties of spaces and deformations, not tearing neither gluing.
Logic = Rules to true or false using statements.
Mathematical Physics = Math used for Physics.
Theory Of Computation = Set of ideas using algorithms and computers on how computer can work.
Information Theory = How information is transmited and processed.
secret codes and how eficient can transmited.
Game Theory = choices in strategic situations to the best result.
Not entirely correct. Mathematical Physics is not simply "Math used for Physics." While mathematics is fundamental to all branches and areas of physics, they are not classified as mathematical physics. Mathematical physics specifically focuses on studying the underlying mathematical foundations and principles of physical theories. It is classified as a branch of mathematics, rather than physics, and aims to deepen our understanding of mathematics through the insights and applications derived from physics. For example, theories like string theory have contributed to the development of new mathematical concepts and techniques that benefit various areas of mathematics beyond physics.
Hey, I saw some people making kind of rude comments without really giving a constructive criticism, so I just wanted to do it myself.
I must agree that your video really simplified the fields of mathematics, nobody expects you to give an in depth explanation of linear algebra or calculus (here I would prefer mathematical analysis) in a video which is meant to be "as short as possible", but maybe mathematics wasn't the greatest topic to choose for this kind of video.
First thing that I would change about this video is instead of "types of mathematics" I would choose "fields of mathematics". Now you can just focus on "higher" mathematics and you don't really need to mention arithmetic, etc. Or maybe you could do a kind of timeline of mathematics? But nonetheless there is just so many fields of mathematics. I don't feel like a video of the first format that I just suggested would be possible in a satisfying way...
Second thing: To give an example i am refering to your calculus explanation. If you want to describe a field of mathematics it would be better to focus more on terminology from mathematics, in this example you could mention limits, derivatives, integrals and maybe mention that it generaly operates with functions. I'm not saying your example with speed and acceleration was wrong, if you would like to take this path how about a video on the topic of "Real world problems solved by a particular field of mathematics"? But if you don't separate mathematical terminology from real world applications of the field people could get the impression that calculus cares just about speed/acceleration.
I could brag about how you didn't mention galois theory in a 9 minute video that claims to mention every type of math, but instead I hope my feedback will be of more use.
If you talk about 'fields of mathematics', then every axiomatic sysem defines such a field.
The list of fields of mathematics would be not only infinite, but would even be infinitely uncountable many.
@@konradswart4069 I think I suggested some division like the way mathematics is divided into fields at colleges. But I get your point, if you want to literally name every possible field of math (even the ones that haven't been constructed yet) there would be an infinite number of them.
Math is as vast as it gets, just behind quantum mechanics. There's always more the deeper we dig.
@@konradswart4069 that is such a nerd answer
This guy has made a crime. He didn't say "But that's just a theory. A GAME THEORY!" at the end.
LOL
Game theory is literally a subject in aiml course it help us to make decision in opponent based situation with the help of alpha beta pruning
@@Rohit-cj6eb i guess you're too old to understand the joke
@@Rohit-cj6eb “uMm aCtUaLlY GaMe tHeOrY Is a sUbJeCt iN AiMl cOuRsE ThAt bLaH BlAh bLaH BlAh wItH ThE HeLp oF AlPhA BeTa pRuNiNg” 🤓👆
Like bruh if you’re gonna be a nerd when someone says a joke on RUclips alone then you might as well stop using social media all together
AHAHAHAH
lmao also everything after like calc was like vague and just plain wrong 😭😭
The linear algebra one wasn't too bad
I also thought that trigonometry was too simplified...
It have relations to triangles, but it is way more than that, he doesn't even mentioned that in fact the triangle is used to study circles and cycles. The few examples he gave does not guide one to understand fully the areas of application.
He literally said a slight modified version of the wiki introduction to trigonometry.
Logic isn't a type of math, though. Math is a type of logic. Logic is the "science of reasoning correctly," not just quantitatively as in math also qualitatively in arguing about concepts, facts, etc.
As far as I know did the two mathematicians or logicians "B. Russel" and "A.N.Whitehead" write the three-volume work of "Principia Mathematica" (PM) to try to proof that the field of mathematics is a subfield of logic. Gödel who read their work started the proof of his "completeness theorem", which actually lead to the conclusion that it can't be proven within the system of logics that the field of mathematics is a subfield of logic. The proposition can be given, not the proof. So as far as I understand, there is no bigger attempt to proof this than PM or a valid one, which opens up that if these propositons are true, it might be better to see logic and mathematics as two seperate fields with an uncalculated % of congruency.
Greetings Léna
1:14 I feel the life exiting his boby
i can feel life exiting his boby too
I watched the video 3 times and I could never get that far in before his voice put me to sleep…
Not every type of mathematics. To mention a few big one's missing:. abstract algebra, Category Theory, Tensor Algebra and Tensor Calculus, Differential Geometry, Clifford Algebra and Clifford Calculus. And one that hasn't a name yet, which you might call: higher dimensional trigonometry. There are 2 two-dimensional trigonometries, namely complex analysys and hyperbolic complex analysis. There are 8 different 4 dimensional trigonometries, one based on the quaternion, The other based on the anti- quaternion. And there are 6 others. There are trigonometries of every dimension. See the RUclips videos of Dennis Morris.
where's abstract algebra, set theory, cryptography, real analysis, complex analysis, group theory, graph theory, probability, or set theory?
Abstract Algebra? Non-Linear Analysis? Combinatorics? Mathematical Modelling? Fractional Calculus? Optimization? Mathematical Statistics?
Mathematics encompasses a diverse range of branches, each playing a crucial role in understanding the world around us. From arithmetic, which forms the foundation of basic calculations, to algebra, geometry, and trigonometry, exploring relationships between numbers and shapes, these branches provide essential tools for problem-solving. Moving into advanced areas like calculus and statistics, we delve into changes, patterns, and data interpretation. Specialized fields like number theory, linear algebra, and differential equations offer deeper insights. Beyond traditional math, logic ensures the soundness of our reasoning, while mathematical physics explores the physical world through equations. Further into the realm of computation, the theory of computation and information theory help us understand the capabilities and transmission of information. Game theory, a fascinating branch, analyzes strategic decision-making in interactive situations. Each branch contributes uniquely to our understanding of the mathematical universe.
I like your video but you didn‘t put every field of math, obviously it would have been too long but you could have out by example complex analysis
Complex analysis might be included in calculus (as well as differential equations), but for example category theory, combinatorics, numerical methods, graph theory and measure theory are not included in the video
@@daaa2299 thanks for the comment, I didn‘t really know it could be associated with calculus. You seem to know what you‘re talking about
edit: I also said the wrong type of math, Idk why I threw complex analysis in there but I meant discrete math. Wow I really should read my comments through before posting
@@daaa2299 nor discrete maths???
@@daaa2299 Despite poor explanation they are mostly included: combinatorics is probability, graph theory is discrete math(which is labeled 'logic' here for some reason), measure theory is obviously 'real' analysis so it is calculus as well and numerical analysis is not a math subject but more of a 'tool' paradigm.
@@testentity9380 graph theory is not real analysis and measure theory is a real branch that explores different kinds of integrals
Not to be rude but the messy piano music and you sounding sooo bored makes this hilarious
I'm sorry but you have no idea what you are talking about. I don't want to hate, but the video is extremely incorrect and approximative
in which way? its goal is to be short and summarizing
@@salvlox_ shortness should not be an excuse to do an oversimplified and partially wrong video. If he didn't want to make a longer video, the best option would have been not to do the video whatsoever. Main reason is that if you talk about a field you don't know, especially math, you are going to say some bullshit. I'd suggest him to make videos about more "easy to research" topics.
@@niccolocervelli7569Yes, some parts of the video are incorrect due to brevity. But it kinda has to, because it is only meant as an overview into the topic. The Paint Explainer, for example, went into different types of democracies and such, and he didn’t give all the intricate little details that make it 100% accurate. This video should be taken with a grain of salt, yes. But was it worth to make? Also yes.
@@niccolocervelli7569 what did he get wrong
@@salvlox_-algebra: it studies groups, rings, fields and other algebraic structures, not at all what he was talking about, which is middle school algebra. Before you say that I'm talking about abstract algebra, and not algebra, you should know that this distinction does not exist outside middle/high school, if someone is talking about algebra in the mathematical world, he is referring to abstract algebra.
-trigonometry: it is more like the study of trigonometric functions, even tho they are defined using triangles, and can be applied to geometry, and it is not a field, it is just 1-2 chapters of a analysis textbook
-calculus: no one studies calculus on a serious level, it is called analysis, and it extends far beyond slopes and areas, it can concern also complex analysis and differential geometry, just to give an idea
-linear algebra: it is the study of vector spaces, he talked about probably the first 3 chapters of a bad LA textbook, and it is muuuuch more general than just studying planes and spaces, even tho they are vector spaces. Applications can be found in spaces of functions too, or graph theory, or groups, or whatever you can imagine
-diff eq: not a field, is a part of analysis and uses linear algebra too
-mathematical physics: it is just physics
-logic: it concerns more the foundations of maths, because when was first developed math wasn't rigorous as now, and is strongly related to set theory I'd add
-statistics: he talked about the word statistics as it is written in the dictionary, while mathematical statistics is different and uses a lot of made up things that for some reason work in the real world
-number theory: much deeper, it can also use analysis and other various fields and its purpose is far wider than finding relations between whole numbers
The list goes on but this seems long enough already
You forgot to mention interuniversal teichmuller theory bro
3:40 -The twin prime gaps become wider because the bigger numbers generally will have more factors thus less chance to have none and if they don’t that that’s what a prime number is. So yeah, you could actually kind of think of it as a limit from 2 -> infinity and approaching it there is a formula / function for prime numbers like (X sigma from 1 - 9 or something) and if it fits 0 then prime and then plus 1 of X fits that same function perameters then it’s a twin prime and the distance between them will become bigger. The gap “G” will trend towards infinity.
Thanks for explaining! Never knew about some of them
Good effort but there are atleast 100 problems with it few of those:
1.Differential equations is also calculas.
2.Linear algebra is much more than what u mentions its not just about matrices even if its huge part of it. And fun fact mostly used for computer graphics.
3.Theory of computation has more to do with study of formal grammar and languages than computers or Algorithms only Recursive set and REL are turing languages which computers are. And also these are used for compiler designing which also has to do with languages more than computers.
4.Discrete mathematics is core branch of mathematics u completely omitted
Logic is just part of it.
Probability set theory group theory relations mathematic logic syllogism argumentation and graph theory.
4.Trigonometry is not just about triangles even tho thats what name suggest as it was derived by studying triangles but its more diverse mostly in circle and wave.
Trigonometry is also useful in computer graphics and calculas.
Good effort, but he stated diff eq was a type of calculus.
Why do you spell it like that tho
Here are a few good ones you left out: Group theory, abstract algebra, combinatorics, Fourier analysis, orthogonal functions, integral transforms, dynamical systems, chaos, fractals, measure theory, category theory, and algebraic geometry.
Here is the math branches/courses that I took in order:
Arithmetic/Pre-algebra (K-7th grade)
Algebra 1* (I took this in 8th grade [I took Honors Algebra 1 in 8th grade and it was a piece of cake])
Geometry* (I took this in 9th grade [I took the Honors version of this class])
Algebra 2 with Trigonometry (I took this in 10th grade [I took the Honors version of this class])
Pre-Calculus (I took this in 11th grade [I took the Honors version of this class])
Statistics/AP Statistics (I took AP Statistics in 12th grade)
Calculus 1/AP Calculus AB (I took Calculus 1 in my first semester of college)
Calculus 2/AP Calculus BC (I took Calculus 2 in my second semester of college)
Linear Algebra 1
Calculus 3/Multivariable and Vector Calculus (I took Calculus 3 and Linear Algebra together in the first semester of my sophomore year of college though I did not pass Calculus 3 the first time.)
Differential Equations (I took that class in my second year and spring semester of college along with Calculus 3. I did not pass Differential Equations the first time but did pass it on the second time just like Calculus 3. I found Calculus 3 and Differential Equations about the same difficulty for me. These were the last math classes I took.)
I appreciate how you break down complex ideas!
We often overlook the fact that mathematics is one of the most complex fields after quantum mechanics. The deeper we delve into it, the more we realize its vastness. No single video can comprehensively cover everything, but this one aims to be beginner-friendly despite some comments attempting to be overly clever.
"Topology is a branch of mathematics that deals with topological structures." What a great help.
Would be cool if someone made a serious extended version of this that wasn't useless.
Algebra is a branch of mathematics that deals with algebraic problems ass explanation
Bro you are explaining something that you don’t understand. Every thing you said is true for elementary school kids
Your comment doesn‘t make sense, his goal was to do a short video explaining what the fields of math he is showing are about. Explaining these fields in simple terms isn‘t only to save time but it‘s also the type of content he wanted to produce, there are more and more videos of this type on youtube which go over by example all the ideologies or all the programming languages often in about 6 to 14 minutes.
Another thing is that in order to know that you truly know and understand a subject of any field like "thermodynamics" in physics you have to be able to explain it to a 8 year old, that‘s what he did, he explained what a 8 year old could understand and he explained it in a way an 8 year old could understand it. This doesn‘t mean he masters math, but my point is that not only was his video meant to be short and not go over the full field but also that explaining in terms everyone can understand it/not throwing complex vocabulary around isn‘t necessarily a lack of understanding of the given subject.
@@Futurephysicist2first i don’t know so much about physics,not yet
Second thing it not only about the explanation but also about the person you explain to if he is putting effort
Third, arithmetic is not just about simple calculations, any calculation is arithmetic…etc
Algebra is much more ….
But he explained topology good
@@Fatehakhrib Not wanting to make a harsh debate, but what part of Algebra wasn't covered that would need to be, and isn't a part of Trig, Linear Algebra, or Geometry?
@@rosswalenciak3739 If someone watch this with out any previous knowledge he would take a wrong picture of almost everything . Did you study abstract algebra ? If you didn’t I get you,but if you did. Start again
@@Fatehakhrib elementary algebra and abstract algebra are completely separate topics, he's talking abt the former
Which branch is toughest and which is easiest
Game theory reminded of dominant and recesive traits.
What about analysis, partial differential equations, diophantine equations, or abstract algebra? Also, you mentioned differentiation and integration, but there's also the Sigma function, which tells you to add up a certain number of specific terms, sometimes an infinite amount which still sometimes converges to a number like the sum from 1 to infinity of 1/n^2, the Pi Function, which is the multiplication of numbers, and the Gamma Function.
Was waiting for set theory but that's fine
He basically omitted whole descrete math.
Set theory
Group theory
Relations
Graph theory
Probability
Etc
Only he touched was logic which is just extension of relations or argumentation
This was such a great explanation, thank you so much!
Where's Analysis?
thats calculus basically, or combinations of calculus with other stuff
@@Illuminat-ve5ue saying analysis is basically calculus is a crime💀
In France we only use the term "analyse" : can you explain me the difference ?@@niccolocervelli7569
@@Illuminat-ve5ue bro there's a whole lot of stuff not cover by calc, like elementary analysis on number fields
@@niccolocervelli7569 ig i am a criminal now
I’m surprised Group Theory isn’t included.
group theory is part of algebra
@@charlesmagnus742 Sure, so is Number Theory and Linear Algebra, but they're on the list. And Differential Equations are on the list even though it's a branch of Calculus. And he doesn't even mention groups at all in the video.
@@charlesmagnus742if differential equations and linear algebra get their own sections, abstract algebra should too
GREAT VIDEO! Liked and subscribed ❤
Pretty nice to use Liszt’s benediction de dieu dans la solitude as the background music. Not a common piece at the standard repertoire
I will show that numbers are built from images
Example , 4 always represents 4 images, like 4 squares for instance.
To be specific numbers are "labels" for groups of images
1. The main idea here is that maths is built from images
(a) example , geometry is clearly made of images
b) example 2, We claim numbers are built from images too, as say 4 , always represents 4 images, like 4 squares for instance.
C) imaginary numbers are connected to images too , which is why they have applications in physics
D) In general any mathematical symbol that comes to mind is connected to images too.
7:22 But hey that's just a theory.
A *game* theory, thanks for watching.
SO how is calculus different from differential equations?
I don't know what other people are upto but this was a fantastic overview on the branches of mathematics for me or anyone who is starting out, Ly bro ❤
taught me more in 9 minutes than i would learn in school for 6 hours
This is useless information. Not that school info isn’t useless, but on a useless scale, this vid is more useless
1:44 bruh he was really feeling that miserable
This video really helped clarify things for me!
Very good video , but it lacks rigor, it is noted that algebra is part of arithmetic as well as topology, trigonometry are part of geometry, the diferential equations are part of the caculus and I'm not going to correct everything but be careful with this kind of subtlety !!!!!!!!!!
Another fantastic explanation, thank you!
I had this running in the background and got me surprised when first said "Game Theory"
Hey, Mentor Mike.... Can you tell us anything about Quantum Physics? ... In mathematical terms... Of course.😊
Aint no way you forgot Mathematical Analysis
Bros using chatgpt and reading it at 3am
I wouldn't say this list goes through EVERY type of math, but I'd say you picked out the most important ones and the ones that most people can relate to, as well as those with the most practical applications.
Despite sounding completely indifferent, I 100% prefer your voice than some fake British auto reading thing.
Thank you for reading your own stuff
Liszt Harmonies Poetiques et religiuses 3 - music for anyone wondering
Thank you 🙏
Nearly half a million views... Well done mate 🙂
A nice summary, but I guess at least the graph theory is missing. Unless it can be considered as a sub-branch of one of the branches given.
A very successful video. Entertaining and managed to generate comments his cool calculating logic produced the outcome he was hopeful for 😂
Saving this video for late night when I can't sleep
Thank God you didn't put Category Theory in there, that stuff is scary
I’m "Old, smart, and can't trust a fart".
I can see alot of hate comments, maybe because their dumb enough to not understand it. Keep the great work bro
Pro tip: listen to this video at 1.5x speed.
You’re welcome. 🤘
Why do I keep seeing these kinds of videos getting popular now. I saw paint explained so it and now more are following
So... I found this observation.
2+2,(addition)
2×2,(multiplication)
2^2,(exponentiation)
and 2 tetrated by 2 are all equal to 4.
( n^n^n^n is n tetrated by 4)
So, I think it might go in forever.
Does this fall into number theory?
Number theory studies the behaviour of numbers, so yes, it could.
where’s set theory and complex analysis
2:18 "Statistics is a branch of math" BOOOOOOOOOOO
We need a part 2 of this bro. Good video.
To be honest with you, i think this video is made by AI from the monotone voice and from the comment section everything seems to be wrong?
If not for checking the channel itself i think this video is AI created
There are more fields, like probability and combinatorics
I dont know if you will read this comment, but there is a spanis acount that has reaploaded this exact video coping the idea but not the images, even the thumbnail is the same, I have writen him a comment on his video telling him to atleast put some short of credits, but idk if it will help. Thats why i write you this comment, just for letting you know
An abridged, yet very academic, explanation of all types of math! Very intellectually stimulating!
where would vector stuff will belong?
I notice that spelling is not a constituent part of Linear Algrebra.
I appreciate your work but also I think that you missed Probability and Sequence/series.
Keep up the good work 👍
Embarking on a captivating odyssey through the vast landscapes of mathematics! From the rhythmic dance of arithmetic to the intricate symphony of differential equations, each branch unveils the secrets of our numerical universe. Mathematics, a language that deciphers the patterns of existence, revealing the beauty in every equation.
Bot
Man, is it a must to add the music
Bayıldım, matematik çok güzel özetlenmiş
There are things on the boarders between mathematics and social /philosophy, like for example: Deterministic stuff and Game theory!
If those are branchs of math then whats the tree of math?
What happened to *Quadratic Equations?* And Determinants? And Chaos Theory ⁉️
Quadratic Equations are a small part in the Algebra catagory.
quadratics are part of algebra
determinants are part of linear algebra
Nicely explained
isn't differential equations just related rates from calculus??
Now combine a two and you get- Algebraic geometry (Algebra+ Geometry), Algebraic topology, Arithmetic geometry (The hardest). This is when things get nightmarish.
Every time he says “branch” makes me think he’ll say “brand new”, makes me nervous :)
i really like it but a request ,can you make the same for physics plzzzz.....
You’re voice is so bori- I mean soothing it puts me to sle
Was the person who recorded this coming down while doing so?
0:03 The easiest branch of mathematics everybody knows.
Trigonometry uses sin, cos and tan
Ctg:😢
Very informative!
Huge,huge flashbacks to my high school and early college years. I was really strong in higher math. I enjoyed it so much that I found and purchased the textbook we used. While I did learn beyond calculus, and had a grasp on subsequent topics, college worked more to stifle me than encourage me, and I lost interest.
In high school I remember a guidance counselor calling my mother and I into a meeting about my sophomore IQ test. He was very cautious about what he said, but eventually revealed that my IQ was 151. I had no idea what that meant, and neither did my mom. I continued strong in math and science, totally oblivious. College crushed that along with other personal issues.
Through my adult career I've had flashes of brilliance. I was even able to meet the writer of a software program I was supporting for my employer because I was considered the most knowledgeable on the west coast of the United States. At the time these things did not trigger in my head. It's only in hindsight that I am realizing these things.
P-Adic could be added to the list, it helped to solve the last Fermat theorem
is part of number theory
I think he posted it at a slower speed than what he recorded it at. If you go to RUclips settings and bump the speed up to 1.25, it sounds more normal.
Which of these types of math have you done before?
Calc
All of them and way more. Loved the video!
arithmetic😂
addition
Counting
Is it Information theory or cryptography?