Numbers/Counting (00:00) Logic (00:50) Euclids Elements/Euclidean Algorithm (2:16) Cryptography (3:05) Calculating the Radius of Earth (4:54) Calculus (5:06) Graph Theory (6:20) Topology (7:51) Fourier Analysis (9:17) Group Theory (10:15) Boolean Algebra (12:21) Set Theory (12:45) Markov Chains (15:40) Game Theory (17:05) Chaos Theory (18:17) Geodesics (19:51) Fermat's Last Theorem (20:08) Millenium Prize Problems (20:40) You can maybe go back to doing that homework you're procastinating (21:17) Not everything in the video is exactly in chronological order but most of them are. I know I didn't include everything of course but there was constant back and forth of should I go over more topics in less detail, or less topics in more detail...I hoped this would be a happy medium.
All it takes is practice, friend. I already notice an incredible improvement in myself after studying 3+ hours a day. I don't really have to worry about passing anymore. Instead I can worry on getting a 100. I used to keep myself down by telling myself I wasn't a math person, but if you tell yourself you can't do something, you most certainly won't. It's all about self-motivation.
I have a bachelor's in math , I'm working on my master's and I have good news for you. Most people who end up doing math feel like they aren't particularly good at it, but they work at it a lot because they like it. Work hard and you can succeed in it too!
So, in 3rd Century BC, Mathematicians calculated to 99% accuracy the radius of the Earth, without any special tools, or equipment. And today, we have Flat Earthers.
The Internet gave an unfiltered voice to everyone and anyone, including stupidly retarded inbred Neanderthals idiotic morons with the I.Q of a refrigerator light bulb. And then they spreaded their corrupted erroneous views, conjecture, speculation and mere opinions as if irrevocably factual, and a bunch of other low life forms agreed with them, to form that new subset of humanity: Truther, anti vaxer, climate change denier, NWO conspirationnists, reptilian, planet nibiru, creationists, chem trail and flathearter, just to name a few.
@Sunny Shah: I mean the movie "Idiocracy" is becoming reality (Idiocracy is a 2006 satirical film that depicts a future in which humanity has become dumb. The title of the film, a coinage meaning "government by idiots"). What gets me is that the earth being a sphere has been proven time and again beginning most notably with Eratosthenes about 2200 years ago (his rigorous proof depicted in this excellent video). Yet, the Flatearthers will "flat" out tell you that we Globers are wrong. However, their arguments have been disproved and refuted time and again. All of their arguments are based on pseudo-science and voodoo-math. Granted, I have never seen the Earth from space, but every argument I have heard that I live on an oblate spheroid makes sense to me and not just on a "knowing" level, but a deep intuitive understanding level ... and yet the Flatearthers want me to accept their view of the cosmos without rigorous proof ... oy vey ...!!!
Can you believe my boss said "I've never used Algebra in my life" As a maths grad I love the subject, especially the counter-intuitive stuff where understanding the answer is more important than knowing it. The biggest problem with Mathematics is that people try to know it rather than understand it.
Nice post... !!! I am not a mathematician, but I do play one on TV ... ;) ... seriously, I will revisit the steps I went through to solve a problem, even if I get it right ... I want to have a deeper understanding of not just the problem or the solution but as to how they fit in the greater scheme of things and if these lead to other problems and solutions. I also think we can never truly know the full impact of the problem or the solution ... I doubt Archimedes realized the full impact of his calculating an accurate estimation of pi and all the math, science and technology that would come from that over the course of 2200+ years ... Archimedes just wanted to understand .... As to your Boss' statement, from what I understand, Algebra is based on solving problems with relationships between things. Whether we do this formally or informally, we solve problems with relationships between things every day. I think all human beings use Algebra every day over their entire life. We just don't stop to think about it or consider it Algebra. Or is this too loose an interpretation of what Algebra is? Someone please help me with this, I am not a mathematician so this is just an observation ...
@@dvd11811 You hit the nail on the head. We use Algebra in everyday life even if we don't write x + y = z we are still intuitively using the concept of algebra. My bosses comments infuriated me enough to start a educational programme teaching people within the company about algebra as well as other branches of mathematics. My first module takes a look at what mathematics (and our understanding of the universe ) is without algebra. The course looks at number theory, mathematical operations, big numbers, infinity and humans inability to comprehend numbers of this magnitude. If my company enjoy and learn from the course I may make my own TH-cam series. Thanks for the kind words
@@davidtalbot2061 Thank you for the confirmation. Please let me know if and when you start your TH-cam channel as I would like to subscribe ... While being interviewed by Bill Moyers for the "Power of Myth" series, Joseph Campbell (one of my favorite authors) said, "Everything we say and do has both good and bad consequences. Our job is to lean toward the good and do what is right.". David, from what you have written in your post to me, it sounds like you are leaning toward the good and doing what is right. God Bless! ... I also like to reiterate what you said about understanding being more important than knowing and apply it to humans, as Carl Jung once wrote, “Everything that irritates us about others can lead us to an understanding of ourselves.” BTW, Speaking of BIG numbers, I once used the word googolplexian in a sentence ... OMT, my name is David as well ... !!!
Gotta get learning then haha Or rather MrLappis + A lot of learning = 6 million (More realistically) MrLappis + a lot of learning = Satisfaction of trying, but no 6 million. Both would be pretty great, to be honest.
Switched majors from Electrical Engineering to Physics & Mathematics. And as a friend of mine stated, Math might be intimidating but, I definitely understand why Math is beautiful. Even though I don't understand all of it, you see all these zigzags that may seem random, but you know that they hold a meaning for educated people. It's like a unique language, one that is both human and not entirely so.
I’ve been in school for about two decades now and this is the most inspiring thing I’ve seen to learn math. When you think about it, it’s kinda weird how we start teaching kids math before telling them what it’s power is. Aside from counting 42 bananas
It's strange, all of my school years I did nothing but try and escape math. I hated it, and I was never good at it because I simply didn't apply myself. Now that I'm 22 and have spent time learning more about it, I find myself so inclined to learn more, and I feel it will help my perception of the world so much. I'm starting college for computer science this summer, and I couldn't be more excited! I never in my life thought I'd pursue something that is math heavy.
This is me with literally all my subjects, math, science, and history. I’m 16, and only recently have I been interested in learning and being fascinated in the world, it’s definitely motivating to see others who are now wanting to learn more about things their weak at rather than not doing anything about it
I have the most wonderful proof of the Riemann Hypothesis but i do not have enough room in the margins of this post to contain the answer. Lol if you get the joke then your a math nerd like me.
Great video, inappropriate title. The title would be more appropriate if it was “real life applications of mathematics”. Not enough history. The father of Algebra wasn’t mentioned. A man which the word “algorithm” is named after, not to mention that he solved the quadratic equation. The fundamental milestone of mathematical history was skimmed through. The Ancient Greeks, Indians, Italians, Babylonians, and Arabs would be insulted.
I'm mathematician I teach calculus, linear algebra, differential equations but sometimes I feel so sad because only few students desire to learn, although I love maths many students are lazy and dont want to work
Im currently not the greatest at math, but i found love in the subject. I think the problem is, to many teachers do a disservice to teaching mathematics.
I love math. I’m going to school to teach it. Everyone thinks I’m crazy, but we all have our things. I may not always get it, I took calc twice, but I just passed with a B+, so it just takes a little blood, sweat, and tears
hi, althoough my major is in environmental sciences (yeah i hated math in school) but i want to learn math on my own. Where should i start. I know basic math and concepts but need to refresh them as well. I am always fascinated by the universe of mathematics but never took interest in learning because my school did a bad job of presenting math as a fun or interesting subject
The words Algebra and Algorithm derived from Arbic . The numbers 1234... the Arabic Numeral replaced the Latin I II III IV V . In Your math history you jumped from 2500 BC to 12-13 century, you ignored the important critic time that make a huge development in math at 6 to 12 century when the Muslims&Arabs made the modern Math : Aldebra and 0 , 1 , 2 , ....
Me being a math major and a really huge math fanatic, I really want to take a class in each of these topics even though most of them would probably kill my gpa.
@@edswalkthroughs Fair point. It says a lot about the brokenness of higher ed that they still rely so heavily on a metric as unrepresentative as gpa. I'm very happy with my decision not to pursue any advanced degree.
A truly whirlwind flight through mathematics - thanks!! A few additional remarks I hope might interest some viewers: • Numbers/Counting - that a rational number is a ratio of two integers (the 2nd of which ≠ 0) is their actual *definition.* That they all have terminating or repeating decimal (or any other fixed-base!) representations, is a *consequence* of that definition, not the definition. • What an algorithm actually is, is a well-defined, finite sequence of steps that is guaranteed to produce a solution to a given problem. • The Euclidean Algorithm is closely related to a method of "best" rational approximations, known as "continued fractions." • The measurement of Earth's radius about 2200 years ago, was done by Eratosthenes (ancient Greece). His final error was about 10%, quite good for the time. • Calculus was co-invented by Gottfried Wilhelm von Leibnitz (Germany) and Isaac Newton (England), using different notations, both of which are useful in different contexts. Many of the ideas behind it go back centuries, including to Archimedes, but it was only formalized starting in the 17th century AD. • Group theory was invented by Évariste Galois (France). As the story goes, he scribbled his findings down feverishly the night before a duel, in case he would be killed. He was. At 20. • Game Theory was not the only thing John von Neumann gave us - in the 1940's he developed one of the earliest electronic, stored-program, digital computers (nicknamed the "Johniac" [sp?]), which was at the IAS in Princeton. He also did some important work in quantum physics. • Chaos Theory - you can thank Ed Lorenz for explaining why the weather forecast will never be perfectly reliable, and why it will always be worthless beyond some finite time horizon, no matter how advanced computation and physical models of the atmosphere, and the density, frequency, and precision of observations, become. • Geodesics and non-Euclidean geometry in general, were invented by Lobachevsky, Bolyai, and Riemann (the latter, on prompting by Gauss). • Around the turn of the 20th century, -British- German mathematician David Hilbert gave a talk in which he outlined the then-most prominent unsolved problems in mathematics. I believe that among them were the Poincaré Conjecture, Fermat's Last Theorem, and the classification of all finite groups, and of all 4-dimensional manifolds (which, among other things, constrains the possible solutions of Einstein's Equations of General Relativity). Thanks again! Fred
iam an ECE enginnering student the fourier analysis saved my project a mini project which cost 11 credit i used the signal from hear rate sensor and subtracted every other signals and used the high frequency signal which says the amount of blood iron and other trace minerals which was like my last minute project but my professor was so happy that i used application of the subject and gave me 10 for just using Fourier analysis i project i made whole project for about 400 rupees and all of the students got 6 or 7 credits because they made projects which you can copy from online
Why start with the Greeks? The Babylonians found the square root of 2 to 15 decimal places and were using the Pythagoras theorem 1,000 years before Pythagoras was born.
Damn I at first felt that I was a fucking nerd for being familiar with the work of every person name dropped in this video but then I remembered I am a third year math major.
As someone who is horrible at math, but finds it really interesting- it always amazes me how people back then even figured it all out, and to some degree, created it with nothing but their brains and eyes
If you have all day and no 9-5 job with overtime, then yeah, you're bound to figure something out. These people were also part of the wealthy elite, so they didn't have to worry about basic needs, plus had some schooling.
@@Shvetsario still, it takes amazing concentration to get to these conclusions, regardless of privillage. Also, they didn't have youtube and other dopamine hackers to distract them. We have the access to the information but minimal focus :(
1% of teachers can teach mathematics. Teachers know the results, they don’t care about anybody else in explaining why the topic is there from A to Z. Teachers start by talking about math information and in the middle of nonsense the put e, sin(x) and i somewhere in the sentence, boooom, you are finished. If you (students) get it, you get it. The teachers don’t care before they arrive and when they left.
Sorry but this is not the history of math. It's a list of some important discoveries, their description and their applications (mostly modern). The history should include context, evolving states and relationships + how the world was being changed by math as it evolved. In the modern world everything has some math in the background, but that doesn't tell us much. Tell us something interesting about the revolution that was kicked off by the discovery of calculus and so on..
Thank you! There was a lot I wanted to throw into the video that I just had to take out unfortunately. But I kept in markov chains so there was something related to stochastic processes at least.
I just found you, I know only basic math, but your videos are interesting, informative and understandable and It makes me want to understand math just a little bit better in my middle age.
Some opportunity was lost not mentioning the sumerian counting system was sexagesimal (base 60). The reason we have 60 min/sec and 12 hours. en.wikipedia.org/wiki/Sexagesimal
right now I feel a lot less smart than a proportion of the world and a bit more in relation to another. I'm a computer programmer so I work with logic, I wasn't good at math growing up, but logic and philosophy & working with this has made me able to see and understand maths much better. Holy shit were those guys good at abstracting
This video is so great. This is something that I have been looking for. I tried so hard to understand the areas of mathematics I could go and things I can do but could grasp during my 4 years of undergraduate but this video just sums up everything. Loved it !!!! Thank you so much
May you make a video about the “aptitude tests” engineers take before getting accepted in college? I googled some and there are a lot of tests, but it would be nice to hear from your experience during the application process involving tests. (I know it depends on the college, but if someone knows about practice test or what to expect it would be nice to hear some advice).
I love how you mentioned (0,1,2,3,4,5,6,7,8,9, etc), logic, algebra, algorithm, cipher, average, degree & named the video "history" and never mentioned that is was Muslims who created AND pioneered it... literally I'm not gonna accuse you of being racist and ignorant but I challenge anyone to give another 'logical' reason as to why they weren't mentioned in a history video.
I expected a detailed history of math but this was too rushed and you skipped a lot of things. Why not cover trig and geometry? Would have made a really long video? Yes, but that can be fixed by making series, covering maybe one branch of math on each video. I wanted names, dates and stories of important people in detail.
India invented mathematics, all modern-day mathematics is built up on top of everything the Indians invented. Indians invented zero, infinity, and all of the numbers in between (numbers 1 to 9 and the decimal system, the way we write the numbers left to right, were all invented in India) On top of this basic foundation without which modern mathematics would not be possible at all, the Indians also invented things like algebra, trigonometry, geometry, quadratic formula, equations, infinite series, etc. It was only about a decade ago that we started to openly acknowledge that the numbers (that we have now been using for hundreds of years) are actually Indian numbers... going by that it may still be a few decades before we finally start to acknowledge the true history of the Indian origin of Mathematics.
Digits, or fingers.. Base 10 Joints and fingertips, 19 Base 20 Tip of thumb on pads and between joints, 12 Base 12 12 x 5, Base 60. 💚 17 + 0 =17 ⛬ 17-17=-0 💙 17-0=17 17-17=0 🖤 I have no assume that "the mid nineteen hundreds" is an Americanism for "the mid Twentieth Century"? Ordinal Numbers are so difficult to use, so much like the Subjunctive....
It does not really wotk that way every time , for instance: If a function is properly increasing it is a one to one function. If a function is not properly increasing it could be a one to one function.
I know this is an old comment, but no, given the first statement, the contrapositive is actually "If a function is not one to one, it is not properly increasing". A implies B means not B implies not A, it doesn't (necessarily) mean not A implies not B.
- People that got the logical and the binary thinking in with ease, and the people that though they understood it but really were too proud to admit they don't get a shit* Now there are people that just flex iconic sayings to show off their ability in grasping the math's! ( a reason why many aren't so fund of mathematics.
the rain/ground example contains equivocations that render it incorrect. It can only be correct for true dichotomies - and rain vs wet ground is not a true dichotomy.
Oh my God finally!!!!!! I paused the video to write the truth tables and everything. The arrogance too. 1:16. "Everyone who has learn even basic geography can answer this in a second". Bruh chill.
The human mind is so strong that a man (einstein) using a pen a book and his mind predicted existence of black hole using math..this really just blow me away..how the universe is perfectly designed to have a viable pattern and how we as a small species in this vast universe had understood even tho little portion of it yet
Excellent It would be nice that some some specialists in industry can complement your video with their own experience/examples , maybe including their links to some resources of value they could recommend But your video is a super good invitation to dig in
using mathematical construct and using mathematical preponderance of ranking system mathematics will always be lower ranking than reality mathematics will always be lower ranking than imagination There for mathematics will never ever be able to explain the universe or reality
Loved this video man! Please do more! I would love it if you could do a history of specific mathematical subjects like “The History of Calculus,” or Algebra, Geometry, Topology, etc... and physics and engineering subjects like fluid mechanics, engineering mechanics, quantum field theory, and so on. Just an idea, I think you have a wealth of potential and material for this “A History of...” type of video.
At the video time 5:54 second , the trajectory drawn is wrong. It has to be tangentional the directional field and shouldn't intersect the arrows. No problem colored trajectories already drawn.
Sometimes it's good to take a step back and relearn the basics. Maybe your university has introductory courses or such for the math that is being taught. And also practice a lot. Do all exercises.
I am an amateur programmer and you were definitely right on the algebra in computer science. In machine learning, all you need to know is math pretty much such as linear algebra, calculus, and some other stuff. Good video.
Taking a digital logic course now. I absolutely love boolean algebra. Especially once I realized the use of it. As an electrical eng. student its so exciting to make a truth table of a simplified expression, then make a double NAND or NOR gate realization and have the same output. So frickin cool.
Numbers/Counting (00:00)
Logic (00:50)
Euclids Elements/Euclidean Algorithm (2:16)
Cryptography (3:05)
Calculating the Radius of Earth (4:54)
Calculus (5:06)
Graph Theory (6:20)
Topology (7:51)
Fourier Analysis (9:17)
Group Theory (10:15)
Boolean Algebra (12:21)
Set Theory (12:45)
Markov Chains (15:40)
Game Theory (17:05)
Chaos Theory (18:17)
Geodesics (19:51)
Fermat's Last Theorem (20:08)
Millenium Prize Problems (20:40)
You can maybe go back to doing that homework you're procastinating (21:17)
Not everything in the video is exactly in chronological order but most of them are. I know I didn't include everything of course but there was constant back and forth of should I go over more topics in less detail, or less topics in more detail...I hoped this would be a happy medium.
lol I clicked the last timestamp and felt guilty
That last timestamp is so relatable
bruh that last time stamp.... how did you know lmao
Where is zero ?
....the truth is that math is math ...shit is shit ....
What a fantastic video ?
Math without zero....🤣🤣🤣
long division 3➗111= ＼(^^)／
Does anybody else love Math but are currently terrible at the subject?
I love math, and i am making a fast and solid progress to improve it.
Tomorrow is my mathematics paper, and i am confident.
@@roshgilluw good luck
All it takes is practice, friend. I already notice an incredible improvement in myself after studying 3+ hours a day. I don't really have to worry about passing anymore. Instead I can worry on getting a 100. I used to keep myself down by telling myself I wasn't a math person, but if you tell yourself you can't do something, you most certainly won't. It's all about self-motivation.
@@SuperSaltyFries I agree.It's also much easier to become a good math person if you enjoy it
I have a bachelor's in math , I'm working on my master's and I have good news for you. Most people who end up doing math feel like they aren't particularly good at it, but they work at it a lot because they like it. Work hard and you can succeed in it too!
Do you guys want one for physics and one for engineering as well?
Yes
MajorPrep Yes please!! I love physics!!
Yes.
Physics first.
YES
So, in 3rd Century BC, Mathematicians calculated to 99% accuracy the radius of the Earth, without any special tools, or equipment.
And today, we have Flat Earthers.
That is because they all are born with the "stupid gene" firmly imbedded in their chromosomes!
Nah, deep inside they know the truth. They just wanna feel special. Just like us, leaving useless comments about some stupid, misled idiots.
The Internet gave an unfiltered voice to everyone and anyone, including stupidly retarded inbred Neanderthals idiotic morons with the I.Q of a refrigerator light bulb.
And then they spreaded their corrupted erroneous views, conjecture, speculation and mere opinions as if irrevocably factual, and a bunch of other low life forms agreed with them, to form that new subset of humanity: Truther, anti vaxer, climate change denier, NWO conspirationnists, reptilian, planet nibiru, creationists, chem trail and flathearter, just to name a few.
@Sunny Shah: I mean the movie "Idiocracy" is becoming reality (Idiocracy is a 2006 satirical film that depicts a future in which humanity has become dumb. The title of the film, a coinage meaning "government by idiots"). What gets me is that the earth being a sphere has been proven time and again beginning most notably with Eratosthenes about 2200 years ago (his rigorous proof depicted in this excellent video). Yet, the Flatearthers will "flat" out tell you that we Globers are wrong. However, their arguments have been disproved and refuted time and again. All of their arguments are based on pseudo-science and voodoo-math. Granted, I have never seen the Earth from space, but every argument I have heard that I live on an oblate spheroid makes sense to me and not just on a "knowing" level, but a deep intuitive understanding level ... and yet the Flatearthers want me to accept their view of the cosmos without rigorous proof ... oy vey ...!!!
@@UTUBESUCK666 How dare you insult Neanderthals by comparing them to flat earthers!
Actually the reason we have ten fingers is there are ten integers
I did not get it! Can you please explain this more from an Evolutionary point of view?
@@aysoodaagh3167
It was a joke
@@JJean64 oh! I see.
Underrated
Can you believe my boss said "I've never used Algebra in my life"
As a maths grad I love the subject, especially the counter-intuitive stuff where understanding the answer is more important than knowing it.
The biggest problem with Mathematics is that people try to know it rather than understand it.
Nice post... !!! I am not a mathematician, but I do play one on TV ... ;) ... seriously, I will revisit the steps I went through to solve a problem, even if I get it right ... I want to have a deeper understanding of not just the problem or the solution but as to how they fit in the greater scheme of things and if these lead to other problems and solutions. I also think we can never truly know the full impact of the problem or the solution ... I doubt Archimedes realized the full impact of his calculating an accurate estimation of pi and all the math, science and technology that would come from that over the course of 2200+ years ... Archimedes just wanted to understand .... As to your Boss' statement, from what I understand, Algebra is based on solving problems with relationships between things. Whether we do this formally or informally, we solve problems with relationships between things every day. I think all human beings use Algebra every day over their entire life. We just don't stop to think about it or consider it Algebra. Or is this too loose an interpretation of what Algebra is? Someone please help me with this, I am not a mathematician so this is just an observation ...
@@dvd11811 You hit the nail on the head. We use Algebra in everyday life even if we don't write x + y = z we are still intuitively using the concept of algebra.
My bosses comments infuriated me enough to start a educational programme teaching people within the company about algebra as well as other branches of mathematics.
My first module takes a look at what mathematics (and our understanding of the universe ) is without algebra.
The course looks at number theory, mathematical operations, big numbers, infinity and humans inability to comprehend numbers of this magnitude.
If my company enjoy and learn from the course I may make my own TH-cam series.
Thanks for the kind words
@@davidtalbot2061 Thank you for the confirmation. Please let me know if and when you start your TH-cam channel as I would like to subscribe ...
While being interviewed by Bill Moyers for the "Power of Myth" series, Joseph Campbell (one of my favorite authors) said, "Everything we say and do has both good and bad consequences. Our job is to lean toward the good and do what is right.".
David, from what you have written in your post to me, it sounds like you are leaning toward the good and doing what is right. God Bless! ... I also like to reiterate what you said about understanding being more important than knowing and apply it to humans, as Carl Jung once wrote, “Everything that irritates us about others can lead us to an understanding of ourselves.”
BTW, Speaking of BIG numbers, I once used the word googolplexian in a sentence ...
OMT, my name is David as well ... !!!
Your boss is an idiot. Confusing algebra with the notation we use to describe it is an unfortunately common mistake.
@@davidtalbot2061 are you giving talks in the break room??
Step 1: Be really good at math.
Step 2: Solve all the Millenium Questions.
Step 3: Profit???
That's 6 million in your pocket
Gotta get learning then haha Or rather
MrLappis + A lot of learning = 6 million
(More realistically)
MrLappis + a lot of learning = Satisfaction of trying, but no 6 million.
Both would be pretty great, to be honest.
Cards Against Humanity?
If you solve any millenium problem you could most likely have any job in the relevant academic world
I would predict that to solve any of the remaining problems you would have to create a new branch of mathematics
Why didn't you talk about khawarizmi
Switched majors from Electrical Engineering to Physics & Mathematics. And as a friend of mine stated, Math might be intimidating but, I definitely understand why Math is beautiful. Even though I don't understand all of it, you see all these zigzags that may seem random, but you know that they hold a meaning for educated people. It's like a unique language, one that is both human and not entirely so.
Why did you switch? Engineering seems to be better.
@@destinyovbiebo8988 no
"Now one of the oldest foundations of mathematics WHICH IS LOST ON MANY PEOPLE TODAY IS LOGIC" 0:50...sadly true😣
To research and ask, what counting is this?
Scrolled too far for this
Logic isn't everything dude it may not apply beyond 3 Dimensional World but till some extend you are right
POWER defies logic................for a while ask trump
Did not expect this. As a math major, this is a pleasant surprise.
As a high schooler, about half the stuff went over my head
You are making a good start!
You'll literally, figuratively, and metaphorically reach it if you get to a higher level
I did not understand a single word my guy😂😂
Full of the stuff went over my head 😂😂
@@mickelhayward4617 😂 I was at the same boat during a time
I’ve been in school for about two decades now and this is the most inspiring thing I’ve seen to learn math. When you think about it, it’s kinda weird how we start teaching kids math before telling them what it’s power is. Aside from counting 42 bananas
@@mikem4481 I would assume that it is referring to the use.
I don't think children that can't count past 10 will understand the uses of game theory
Bro.....you must understand how incredibly niave your comment is...
That is why Elon Musk home schools his kids.
@@portagepete1 because school education is suck?
It's strange, all of my school years I did nothing but try and escape math. I hated it, and I was never good at it because I simply didn't apply myself. Now that I'm 22 and have spent time learning more about it, I find myself so inclined to learn more, and I feel it will help my perception of the world so much. I'm starting college for computer science this summer, and I couldn't be more excited! I never in my life thought I'd pursue something that is math heavy.
Same here
😮❤tfdghhv
This is me with literally all my subjects, math, science, and history. I’m 16, and only recently have I been interested in learning and being fascinated in the world, it’s definitely motivating to see others who are now wanting to learn more about things their weak at rather than not doing anything about it
I have the most wonderful proof of the Riemann Hypothesis but i do not have enough room in the margins of this post to contain the answer.
Lol if you get the joke then your a math nerd like me.
Those damn narrow margins!
Why there is no reference of mathematician Aryabhatta who invented zero
So nice to hear Maths getting some well deserved love and with clear explanation! Well done!
Great video, inappropriate title.
The title would be more appropriate if it was “real life applications of mathematics”. Not enough history. The father of Algebra wasn’t mentioned. A man which the word “algorithm” is named after, not to mention that he solved the quadratic equation. The fundamental milestone of mathematical history was skimmed through. The Ancient Greeks, Indians, Italians, Babylonians, and Arabs would be insulted.
I'm mathematician I teach calculus, linear algebra, differential equations but sometimes I feel so sad because only few students desire to learn, although I love maths many students are lazy and dont want to work
Im currently not the greatest at math, but i found love in the subject. I think the problem is, to many teachers do a disservice to teaching mathematics.
I love math. I’m going to school to teach it. Everyone thinks I’m crazy, but we all have our things. I may not always get it, I took calc twice, but I just passed with a B+, so it just takes a little blood, sweat, and tears
hi, althoough my major is in environmental sciences (yeah i hated math in school) but i want to learn math on my own. Where should i start. I know basic math and concepts but need to refresh them as well. I am always fascinated by the universe of mathematics but never took interest in learning because my school did a bad job of presenting math as a fun or interesting subject
It’s the way it’s being taught in schools and colleges that is the problem.
@@Capitan_Chaos there are many factors to take into consideration, not only the way of teaching, cultural factors are critical for instance
The words Algebra and Algorithm derived from Arbic . The numbers 1234... the Arabic Numeral replaced the Latin I II III IV V . In Your math history you jumped from 2500 BC to 12-13 century, you ignored the important critic time that make a huge development in math at 6 to 12 century when the Muslims&Arabs made the modern Math : Aldebra and 0 , 1 , 2 , ....
Me being a math major and a really huge math fanatic, I really want to take a class in each of these topics even though most of them would probably kill my gpa.
Me being a high schooler who wants to be a math major and also a huge math fanatic, I really want to take a class in each of this topics xD
@@alexiafejer1344 you can watch a lecture series in the meantime
Nobody gives a hoot about gpa.
@@Michael-vf2mw I mean grad school does lol. If it wasn’t for a decent gpa, I wouldn’t be in grad school nor a TA
@@edswalkthroughs Fair point. It says a lot about the brokenness of higher ed that they still rely so heavily on a metric as unrepresentative as gpa. I'm very happy with my decision not to pursue any advanced degree.
A truly whirlwind flight through mathematics - thanks!! A few additional remarks I hope might interest some viewers:
• Numbers/Counting - that a rational number is a ratio of two integers (the 2nd of which ≠ 0) is their actual *definition.* That they all have terminating or repeating decimal (or any other fixed-base!) representations, is a *consequence* of that definition, not the definition.
• What an algorithm actually is, is a well-defined, finite sequence of steps that is guaranteed to produce a solution to a given problem.
• The Euclidean Algorithm is closely related to a method of "best" rational approximations, known as "continued fractions."
• The measurement of Earth's radius about 2200 years ago, was done by Eratosthenes (ancient Greece). His final error was about 10%, quite good for the time.
• Calculus was co-invented by Gottfried Wilhelm von Leibnitz (Germany) and Isaac Newton (England), using different notations, both of which are useful in different contexts. Many of the ideas behind it go back centuries, including to Archimedes, but it was only formalized starting in the 17th century AD.
• Group theory was invented by Évariste Galois (France). As the story goes, he scribbled his findings down feverishly the night before a duel, in case he would be killed. He was. At 20.
• Game Theory was not the only thing John von Neumann gave us - in the 1940's he developed one of the earliest electronic, stored-program, digital computers (nicknamed the "Johniac" [sp?]), which was at the IAS in Princeton. He also did some important work in quantum physics.
• Chaos Theory - you can thank Ed Lorenz for explaining why the weather forecast will never be perfectly reliable, and why it will always be worthless beyond some finite time horizon, no matter how advanced computation and physical models of the atmosphere, and the density, frequency, and precision of observations, become.
• Geodesics and non-Euclidean geometry in general, were invented by Lobachevsky, Bolyai, and Riemann (the latter, on prompting by Gauss).
• Around the turn of the 20th century, -British- German mathematician David Hilbert gave a talk in which he outlined the then-most prominent unsolved problems in mathematics. I believe that among them were the Poincaré Conjecture, Fermat's Last Theorem, and the classification of all finite groups, and of all 4-dimensional manifolds (which, among other things, constrains the possible solutions of Einstein's Equations of General Relativity).
Thanks again!
Fred
4:00 I was expecting a VPN sponsor
iam an ECE enginnering student the fourier analysis saved my project a mini project which cost 11 credit i used the signal from hear rate sensor and subtracted every other signals and used the high frequency signal which says the amount of blood iron and other trace minerals which was like my last minute project but my professor was so happy that i used application of the subject and gave me 10 for just using Fourier analysis i project i made whole project for about 400 rupees and all of the students got 6 or 7 credits because they made projects which you can copy from online
Why start with the Greeks? The Babylonians found the square root of 2 to 15 decimal places and were using the Pythagoras theorem 1,000 years before Pythagoras was born.
Great overview. Maybe the incompleteness of mathematics and the work of Gödel and Turing deserved to be mentioned.
Damn I at first felt that I was a fucking nerd for being familiar with the work of every person name dropped in this video but then I remembered I am a third year math major.
If they teach you these, then I wish i was a bloody third year math major too!
How can you talk the history of mathematics but not mention India
No, Inca civilization never used math in their lives.
@Rafi Boss Yea, I agree but India mostly played the majority of the contribution.
He starts with Hindu-Arabic Numerals.
As someone who is horrible at math, but finds it really interesting- it always amazes me how people back then even figured it all out, and to some degree, created it with nothing but their brains and eyes
If you have all day and no 9-5 job with overtime, then yeah, you're bound to figure something out. These people were also part of the wealthy elite, so they didn't have to worry about basic needs, plus had some schooling.
@@Shvetsario still, it takes amazing concentration to get to these conclusions, regardless of privillage. Also, they didn't have youtube and other dopamine hackers to distract them. We have the access to the information but minimal focus :(
Okay, it's decided, I like this and am subbing.
This was so good do a history of physics next!
Edit: and it's applications
yup
1% of teachers can teach mathematics. Teachers know the results, they don’t care about anybody else in explaining why the topic is there from A to Z. Teachers start by talking about math information and in the middle of nonsense the put e, sin(x) and i somewhere in the sentence, boooom, you are finished. If you (students) get it, you get it. The teachers don’t care before they arrive and when they left.
Holy crap we literally just learned Euclid's algorithm in my maths class and at the same day this? Are you a prophet
😱
People who find this video fascinating have to look under the hood of Bitcoin. It's like nerd porn, seriously.
really interesting! the graphics made everything really easy to understand :) also congrats on 100k!!!
Thank you!
@@zachstar Just a sidenote: I think that arithmetic would be easier if we had SIX digits.
Sorry but this is not the history of math. It's a list of some important discoveries, their description and their applications (mostly modern). The history should include context, evolving states and relationships + how the world was being changed by math as it evolved. In the modern world everything has some math in the background, but that doesn't tell us much. Tell us something interesting about the revolution that was kicked off by the discovery of calculus and so on..
Great video, but where's the probability and statistics? Stochastic processes, linear algebra? Regardless I enjoyed your video a lot.
Thank you! There was a lot I wanted to throw into the video that I just had to take out unfortunately. But I kept in markov chains so there was something related to stochastic processes at least.
Hungarian mathematician John von Neumann (/vɒn ˈnɔɪmən/), not von Newman.
Always bugs me when anglophones read his name like that
But the video is great overall
I just found you, I know only basic math, but your videos are interesting, informative and understandable and It makes me want to understand math just a little bit better in my middle age.
do you now understand math?
Just searched math lore and here I am
yes! yes! more math related videos!
the discovery of pi was a glorious day for bakers everywhere
Lol
your present in youtube is a grace
Some opportunity was lost not mentioning the sumerian counting system was sexagesimal (base 60). The reason we have 60 min/sec and 12 hours.
en.wikipedia.org/wiki/Sexagesimal
4:22 There's no date given for when pi was pinpointed exactly. (I was not aware that that had been done.)
Maths was discovered it was never invented.
With each of the Concepts going a Level-Up is the beauty of this Video-Explanation. Thanks for such a Beautiful and unique effort.
Best channel!!! Keep up the dope vids homie. Not that many math enthusiasts on TH-cam unfortunately.
right now I feel a lot less smart than a proportion of the world and a bit more in relation to another. I'm a computer programmer so I work with logic, I wasn't good at math growing up, but logic and philosophy & working with this has made me able to see and understand maths much better. Holy shit were those guys good at abstracting
Ok then , 600 million dollars is mine
This video is so great. This is something that I have been looking for. I tried so hard to understand the areas of mathematics I could go and things I can do but could grasp during my 4 years of undergraduate but this video just sums up everything. Loved it !!!! Thank you so much
You never said anything about who invented zero. Like it was not important.
Simply fabulous video!
So interesting
I hate math, but after watching this video I kinda love it
Oh, yeah? Man, I see you in almost every TH-cam video I watch.
May you make a video about the “aptitude tests” engineers take before getting accepted in college? I googled some and there are a lot of tests, but it would be nice to hear from your experience during the application process involving tests.
(I know it depends on the college, but if someone knows about practice test or what to expect it would be nice to hear some advice).
I love how you mentioned (0,1,2,3,4,5,6,7,8,9, etc), logic, algebra, algorithm, cipher, average, degree & named the video "history" and never mentioned that is was Muslims who created AND pioneered it... literally I'm not gonna accuse you of being racist and ignorant but I challenge anyone to give another 'logical' reason as to why they weren't mentioned in a history video.
Major prep, I have been teaching myself anti-derivation. My question is, is the integral and the anti-derivative the same???
Yes, when someone says the antiderivative of a function is... and another says the integral of a function is..., they are saying the same thing.
Usually the one saying anti derivative is the math student and the one saying integral is the physics one
Please give the all branche's name of mathematics
th-cam.com/video/OmJ-4B-mS-Y/w-d-xo.html
I expected a detailed history of math but this was too rushed and you skipped a lot of things. Why not cover trig and geometry? Would have made a really long video? Yes, but that can be fixed by making series, covering maybe one branch of math on each video. I wanted names, dates and stories of important people in detail.
dani ortega You can go get yourself some books if you want so much detail
@@aserillll
But we want his videos
Are you from Chile ?
Looking for saxophonist Miguel
I'm watching this in hopes that it will make calculus click
India invented mathematics, all modern-day mathematics is built up on top of everything the Indians invented. Indians invented zero, infinity, and all of the numbers in between (numbers 1 to 9 and the decimal system, the way we write the numbers left to right, were all invented in India) On top of this basic foundation without which modern mathematics would not be possible at all, the Indians also invented things like algebra, trigonometry, geometry, quadratic formula, equations, infinite series, etc. It was only about a decade ago that we started to openly acknowledge that the numbers (that we have now been using for hundreds of years) are actually Indian numbers... going by that it may still be a few decades before we finally start to acknowledge the true history of the Indian origin of Mathematics.
We life in a COMPUTER SIMULATION and MATHEMATICS is the computer language used to create our simulation
YOO MAKE THIS A SERIES I want more detail
Digits, or fingers..
Base 10
Joints and fingertips, 19
Base 20
Tip of thumb on pads and between joints, 12
Base 12
12 x 5, Base 60. 💚
17 + 0 =17
⛬ 17-17=-0
💙 17-0=17
17-17=0 🖤
I have no assume that "the mid nineteen hundreds" is an Americanism for "the mid Twentieth Century"? Ordinal Numbers are so difficult to use, so much like the Subjunctive....
It does not really wotk that way every time , for instance:
If a function is properly increasing it is a one to one function.
If a function is not properly increasing it could be a one to one function.
I know this is an old comment, but no, given the first statement, the contrapositive is actually "If a function is not one to one, it is not properly increasing". A implies B means not B implies not A, it doesn't (necessarily) mean not A implies not B.
- People that got the logical and the binary thinking in with ease, and the people that though they understood it but really were too proud to admit they don't get a shit* Now there are people that just flex iconic sayings to show off their ability in grasping the math's! ( a reason why many aren't so fund of mathematics.
The symbols for 10 and 11 in base 12 (duodecimal system) are: upside down "2" and "3" respectively.
the rain/ground example contains equivocations that render it incorrect. It can only be correct for true dichotomies - and rain vs wet ground is not a true dichotomy.
Oh my God finally!!!!!! I paused the video to write the truth tables and everything. The arrogance too. 1:16. "Everyone who has learn even basic geography can answer this in a second". Bruh chill.
How am I just getting to like math? I've wasted so much of my grade school years not realizing how beautiful it is
BS VIDEO with a misleading title
It should be titled Mathematics and its applications... Thats all
OMG this was unexpected!
Hope you enjoyed!
BS VIDEO with a misleading title
It should be titled Mathematics and its applications... Thats all
8:42 Got me laughing hard. Nicely done.
The human mind is so strong that a man (einstein) using a pen a book and his mind predicted existence of black hole using math..this really just blow me away..how the universe is perfectly designed to have a viable pattern and how we as a small species in this vast universe had understood even tho little portion of it yet
The equation did not the mind
Sometimes logic is beautiful than mathematics...🔥
wait... why are you starting with logic? math is so much older than that
I completely lost track of time watching this, well done
Excellent
It would be nice that some some specialists in industry can complement your video with their own experience/examples , maybe including their links to some resources of value they could recommend
But your video is a super good invitation to dig in
I love this.. can you recommend me books so that I could get wider knowledge of this subject rather the ways and formulas to solve the problems?
Yess pleaasee i NEED this!
Is anyone having trouble with the presenter confounding if statements with if and only if statements at the beginning of the video?
6:38 I was trying for a while, assuming you were showing how to do it, then it turns out to be impossible haha.
Same.. but I was doing it for fun because I am dumb and would not really understand it
using mathematical construct and using mathematical preponderance of ranking system
mathematics will always be lower ranking than reality
mathematics will always be lower ranking than imagination
There for mathematics will never ever be able to explain the universe or reality
Diagram on the right cone of radius
feeling proud of studying maths ^^^
(00:30) I believe that we use 10 digits system because our languages uses 10 digits based system,
in Arabic we have:
1 = Wahid
2 = Ethnan
3 = Thalathah
4 = Arba'ah
5 = Kamsah
6 = Sit'tah
7 = Sab'ah
8 = Thamaniyah
9 = Tes'ah
10 = Ashrah
-----------------------------
11 = 1 + 10 = Ehda + Ashar
12 = 2 + 10 = Ethna + Ashar
13 = 3 + 10 = Thalathah + Ashar
14 = 4 + 10 = Arba'ah + Ashar
....
100 = Me'ah
101 = 100 + 1 = Me'ah wa Wahid = 1 + 100 = Wahid wa(+) Me'ah
110 = 10 + 100 = Me'ah wa Ashra
111 = 11 + 100 = Me'ah wa Ehda + Ashar
.... etc.
Loved this video man! Please do more! I would love it if you could do a history of specific mathematical subjects like “The History of Calculus,” or Algebra, Geometry, Topology, etc... and physics and engineering subjects like fluid mechanics, engineering mechanics, quantum field theory, and so on. Just an idea, I think you have a wealth of potential and material for this “A History of...” type of video.
Love that idea! Yeah I’ll see where I want to go with that but you’re right, lots of potential ideas.
At the video time 5:54 second , the trajectory drawn is wrong. It has to be tangentional the directional field and shouldn't intersect the arrows. No problem colored trajectories already drawn.
For the first, it'll be useful to name the exact terminology, like contrapositives, inverse, converse etc.
Math is awesome
You've got a new like here! This video has so much information!
Where do you get your stock footage? If you don't mind sharing that information of course! Also, great video. Definitely earned yourself a subscriber
on the website videoblocks :), and glad to have you as a sub!
I suck at maths ..... How to improve my maths ... I'm currently studying bsc computer engineering
the key is to practice
Sometimes it's good to take a step back and relearn the basics. Maybe your university has introductory courses or such for the math that is being taught. And also practice a lot. Do all exercises.
Khan academy
This video is basically years worth of Numberphile videos, in the nutshell, minus the applications
I am an amateur programmer and you were definitely right on the algebra in computer science. In machine learning, all you need to know is math pretty much such as linear algebra, calculus, and some other stuff. Good video.
Hey all these things are fucking cool. How do I learn more without going to college?
God I've been looking for this, your videos are amazing
Can't seriously get my head around the fact that Set theory came after calculus
Taking a digital logic course now. I absolutely love boolean algebra. Especially once I realized the use of it. As an electrical eng. student its so exciting to make a truth table of a simplified expression, then make a double NAND or NOR gate realization and have the same output. So frickin cool.
SuperSaltyFries I had the exact same feeling when I connected the components on a breadboard for the first time 😂😂😂😂
My dude make a truth table of his statement at 1:16. A little surprise for ya.
His voice feels like he's gonna crack a joke any second.
Maths without aryabhatta is incomplete
Ancient Egyptians and mesopotamians existence millenia before Aryabhatta. You must be bloating
About the Millennium Puzzles...
You can either solve or proof that's unsolvable...