The Most Beautiful Equation in Math
Happy Pi Day from Carnegie Mellon University! Professor of mathematical sciences Po-Shen Loh explains why Euler’s Equation is the most beautiful equation in math. The video was filmed as part of a pi and pie discussion with CMU alumna, baker and blogger Quelcy Kogel (A 2007). For more: • Pi and Pie
Пікірлер: 2 400
Here's the most beautiful thing I ever discovered: my girlfriend is like √-100 a perfect ten, but also imaginary
If you're planning on doing something big in life, start by making sure you're happy as this guy.
I love how he’s so excited about it
I don't think she understands a thing he is saying.
The gap between how good he is and how terrible I am is astounding
You can see he loves what he does.
you know what's more beautiful than this equation? that dude's smile ;)
The guy is just happy doing maths 😅
@mhmd494
6 жыл бұрын
So? You seem to be happy being one piece's fanboy
@manojkr9198
6 жыл бұрын
So??
@pat4684
6 жыл бұрын
quick maffs
@robertoo510
6 жыл бұрын
2+2 is 4, minus 1 that's free. Quick maths
@jimmytimmy3680
6 жыл бұрын
Who isn't?
If there’s one beautiful thing in this video it’s not the equation... It’s his damn handwriting
@usymmot3900
6 жыл бұрын
iuhfiuqwefq lol
@dev_invc
6 жыл бұрын
Define beauty for me ..
@bailarot2566
6 жыл бұрын
Tru dat
@minebrozhq915
6 жыл бұрын
DuKiP I
@eewelss
6 жыл бұрын
DuKiP ikr
it's so cool to see how excited a person can be while explaining math
@theimmux3034
6 жыл бұрын
Rainbow Dash69 it is
@leticiat1601
6 жыл бұрын
Rainbow Dash69 yes I want a teacher like this, maybe i will start to like maths😂
@Thatguy-yi1rx
6 жыл бұрын
I need him as my high school teacher for math I can imagine how well he explains maths in such a happy way you can clearly see it’s passion
@AnonyAnimal
6 жыл бұрын
Because people that study math like this see how it lays the foundations for the world around us. Math makes things exist, often in very beautiful ways.
@neverforget7545
6 жыл бұрын
I just liked to make it an even number
0:47 that "e" was so satisfying
Love his energy, it's contagious 😂
@williamgao3682
6 жыл бұрын
Indeed, I would love having him as my professor.
@reccoschick1015
6 жыл бұрын
HIGH energy
@daniellewis984
6 жыл бұрын
It's too bad this equation isn't as simple or as beautiful as it should be. Michael Hartl explains it better than me.
@HakaMataFaka
6 жыл бұрын
Bbl
@aseempatwardhan6778
6 жыл бұрын
Pink Plant he is the best!
I have hated math all my life due to my lack of understanding of the complicated formulas, BUT I have to admit, math is beautiful when taught by the right person, like this guy. thanks!
@AlphaBeastHD
7 жыл бұрын
Faisal M well said
@okie9025
7 жыл бұрын
Faisal M d
@IAM2QUIK
7 жыл бұрын
how old are you?
@IamRanJos
7 жыл бұрын
Faisal M well said
@leorio7416
7 жыл бұрын
what has he taught ?
The excitement in him saying those is unreal, it really shows the passion that he has for numbers.
@SireSteckdose
7 жыл бұрын
TooCoolForYou So his excitement is imaginary?
@jaymodi5378
7 жыл бұрын
Sir Socket numbers are not imaginary
@gonbarrio
7 жыл бұрын
Jay Modi Imaginary ones are
@ethanarmstrong6787
7 жыл бұрын
Jay Modi are you out of grade school maths yet?
@djwoodgate
7 жыл бұрын
That is derogatory.
I've never seen anyone in my life who's so exited with maths.
Mathematics is a logical magic..... If you know the logic, You can enjoy the magic.
I just love this guy's enthusiasm!
@sjnorman02able
7 жыл бұрын
ElAshtonio )
@chinadan86
7 жыл бұрын
666 likes, illuminati confirmed
@kevinclass2010
7 жыл бұрын
ElAshtonio All the mess in the universe makes -1
@santiagoflorez5325
7 жыл бұрын
ElAshtonio ikr it hype af
@Omar-ir4gk
7 жыл бұрын
Sandra Norman (
This guy should do a stand up comedy on math.
Funny how everytime he writes he must put his left hand on his hip
@throwawayaccount7664
6 жыл бұрын
He is touching a calculator in his shirt that projects an image inside of his glasses lens.
@esteliatru7489
6 жыл бұрын
Joe Hughes i just noticed whhahegdh
@sssnippetWorld
6 жыл бұрын
joe hughes How fucking your mind is..........
@kn00tcn
6 жыл бұрын
when i dip you dip we dip (i cant load the comments thread to know if someone else said that)
@oneeyedsleep4107
6 жыл бұрын
kn00tcn ikr! i thought that only happened to me...
That guy spoke at a math competition in Bergen Country Academies once, I remember him. He talked about how dice were much more than dice, and he used the same excitement there too.
No idea what he's talking about, but clearly loves his work and is sparkling with enthusiasm; which is always nice to see.
@am33x
7 жыл бұрын
It wasn't that hard to understand tho, he explained it concisely.
@shaibs2848
7 жыл бұрын
Dynamic3DLtd I
@erickuhn2812
7 жыл бұрын
It was actually pretty simple to understand if u have taken courses in trigonometry, calculus...
@joris8032
7 жыл бұрын
SupermarketHobo in America? dont make me laugh
@damianr2227
7 жыл бұрын
SupermarketHobo okay? So?
Wish I had a teacher that enthusiastic when I was in school.
@VictorValencia
7 жыл бұрын
Rick Deckard lucky..
@yourfriendlyneighbourhoodh4700
7 жыл бұрын
Rick Deckard I did, lucky me...
@sharplydressedrabbit3604
7 жыл бұрын
Rick Deckard I do, it's great
@dakshansh007
7 жыл бұрын
Rick Deckard believe me.. U would not like it that much :) XD
@prashikjadhav3954
7 жыл бұрын
Rick Deckard and your teacher kept wishing why aren't my students so enthusiastic
2:48 fakest laugh i've ever seen
so here I am, stoned af watchin a guy that smiles as he is doing math... what
This guy loves maths so much and is so happy it's great
He's so ridiculously adorable during this 😂
@zp7741
7 жыл бұрын
Bunny Rawr 2:15 she was speechless
@josedomingo95
7 жыл бұрын
Bunny Rawr e^i.pi=cos(180)=-1 thats why when you add 1 is equal to 0
@CaseLogsTrades
7 жыл бұрын
Bunny Rawr he's nerding out so bad. honestly I'm enjoying his reaction to this haha
@Golnarth
7 жыл бұрын
He's inhumanly excited and I love it
@Sallpls
7 жыл бұрын
Bunny Rawr ikr
2+2 is 4 minus 1 is 3 quick maths.
@wumbogaming8306
6 жыл бұрын
Ido Hager your dad is 44
@MrBryancslim
6 жыл бұрын
Big Shaq
@dennismedina4338
6 жыл бұрын
Ido Hager 😂😂😂
@kedaariyer4887
6 жыл бұрын
Everyday man's on the block, smoke trees
@mr.bootycheeksslapperclapper
6 жыл бұрын
Lol
If you multiply pi, i, and e, you get πie, which spells pie. I don't know why I wrote this comment.
I never knew that, that's actually quite fascinating.
@Johpick
6 жыл бұрын
My life finally has a meaning.
@stt.9433
6 жыл бұрын
lol this equation is ridiculous. He just put a complex number under exponential form. Look here it is dude, z= -1 theta of that is pie. Magnitude or modulus(think of it as absolute value) of that is 1. so it gives us 1e^ipie = -1 btw i goes before pie not after but anyways. So e^i*pie + 1 = 0. It's really ridiculous tbh.
@autismo1969
6 жыл бұрын
Your being sarcastic right 😂😂 indian kids learn this in iit coaching when they're 15 years old wtf😂😂
@gassug2
6 жыл бұрын
"e^ipie" are you sure you know what you're talking about?
@electrotech9444
6 жыл бұрын
eπi=cosπ+isinπ=-1
this is how he goes on dates
@nha1481
7 жыл бұрын
Jack Mabal haha
@kavemustermann
7 жыл бұрын
Better watch out before he steals all the girls ;)
@Schnittwin
7 жыл бұрын
maybe he has more important or fun (for him, at least) things to do than go on dates?
@unfoundsoul2543
7 жыл бұрын
kave mustermann right! HAHA he's such a cutie
@timearly5226
7 жыл бұрын
kave mustermann He's intelligent, has a friendly personality and has a passion. He'll have no problem finding dates (as long as he doesn't bring along a blackboard).
i love math but it doesnt loves me back :c
I wish I loved something as this guy loves maths
I wish i was as happy as him 😂
@zain4019
6 жыл бұрын
Joshua Biju just :)
@althafshameel4466
6 жыл бұрын
Joshua Biju lolz
@dangerouswoman2339
6 жыл бұрын
Joshua Biju 😂😂😂
@n3ron7
6 жыл бұрын
i have an equation for that... i want to be happy+all day long= weed
Great wish he was my maths teacher..
Like, can we clone this guy's personality and talent and replace the teachers with the copies?
The *e* he draws on the chalkboard at 0:48 is so aesthetically pleasing
This guy makes me so happy
Beautiful! I am thankful and feel so blessed to have a son in this school!
@leyla56781
7 жыл бұрын
Your son is so lucky
@leonk.286
7 жыл бұрын
Leyla Sharafutdinova pretty sure he's just smart tho
@deadtbh9868
7 жыл бұрын
lucky doesn't necessarily mean chance, can also mean fortunate by method of skill or achievement when used in context with the correct expression. so yes, you could say he is lucky.
@deadtbh9868
7 жыл бұрын
iLandon what part of that does not make sense
@taajman1559
7 жыл бұрын
it's money. money gets you everything.
Most beuatiful eqution in math is 2+2 = 4 - 1 = 3 QUICK MATHZ
@nirmalanandimotionalgita6930
6 жыл бұрын
Jayden Dabral Must watch Channel Nikhil Nirmal Geometry Theorum of 18°72°90°
@abhiverma9294
6 жыл бұрын
Mans not hot
@freefireph3812
6 жыл бұрын
Ting goes skrrraaaa popop kakaka Skidika pop pop And a purdrr purr pum
@aryankalra5640
6 жыл бұрын
Don't want to but I have to correct you here, it's maff**
@raisin4406
6 жыл бұрын
everyday man’s on the blok
When I first saw the thumbnail I thought the equation was actually just +1 = 0
@Demolion951
6 жыл бұрын
That would be mad.
@oneeyedsleep4107
6 жыл бұрын
that equation is so powerful... im holding back tears
@devinthegod5846
6 жыл бұрын
Samovar maker 0
@xxxxxx5868
6 жыл бұрын
OneEyedSleep boi shut your sensitive ass up
@xxxxxx5868
6 жыл бұрын
OneEyedSleep nevermind i just cried
This formula contains mathematical constants derived from arithmetic (0 and 1), geometry (pi), algebra (i), and calculus (e), as well as addition, multiplication, and exponentiation! And it's so concise! You just can't get better than that.
@tylerborgard8805
7 жыл бұрын
Well, e is often defined as the limit of (1+1/n)^n as n approaches infinity. Also, e is the number whose exponential function (e^x) is its own derivative. Limits and derivatives are perhaps the two most fundamental concepts in calculus.
@kilarosul
7 жыл бұрын
Tyler Borgard you forgot about trigonometry. That e^ipi=cos pi + isin pi. So the whole equation turns in cos pi (negative 1) +isin pi(which is 0 because of the sin)+ 1 which is exactly 0.
@tylerborgard8805
7 жыл бұрын
Well, I tend to view trigonometry as a subset of geometry, but that is a good point. Who would have guessed that trigonometric functions could be expressed in terms of exponentials?
@MrPatrickbuit
7 жыл бұрын
Tyler Borgard Forgive me for my lack of skill as far as math is concered, but how exactly does (1 + 0)^infinity become ~2.71 rather than just one? Not at all saying you're wrong, I'm just curious about how this works.
@tylerborgard8805
7 жыл бұрын
Well, 1^infinity is what's called an indeterminate form (kind of like 0/0), which means that simple plugging-and-chugging isn't going to help you find the limit. Here's an easy way to see why 1^infinity is indeterminate: 1^1=1 1^10=1 1^100=1 1^1000=1 ... So you'd think 1^infinity would also be 1. However... 2^infinity=infinity 1.5^infinity=infinity 1.1^infinity=infinity 1.01^infinity=infinity ... I'm using the '=' sign rather loosely here, since infinity isn't technically a number. However, these equations still make sense in the context of limits, so you could argue from them that 1^infinity is actually infinity. We don't have a clear answer, which means that we must evaluate the limits on a case-by-case basis using other means. For example, take the limit (2^(1/n))^n as n approaches infinity. This approaches the form (2^0)^infinity=1^infinity, which is indeterminate. But we can still find the limit pretty easily, as follows: For all positive numbers n, (2^(1/n))^n=2^(1/n*n)=2^1=2. Therefore, the limit is 2 (and not 1). Now, in our situation, e is defined as the limit of (1+1/n)^n as n approaches infinity. This also approaches the indeterminate form 1^infinity, so we can't evaluate the limit in this way. Now, there's not an easy way to analytically find the limit, since this limit is the very definition of our special number e, but if we evaluate the expression for large enough values of n, we can get a good decimal approximation for e. (1+1/1)^1=2 (1+1/2)^2=2.25 (1+1/3)^3=2.370370... (1+1/5)^5=2.48832 (1+1/10)^10=2.593742460... (1+1/100)^100=2.7048138294... (1+1/1000)^1000=2.7169239322... (1+1/10000)^10000=2.7181459268... (1+1/100000)^100000=2.7182682371... (1+1/1000000)^1000000=2.7182804691... As n gets arbitrarily large, this expression gets arbitrarily close to e=2.7182818284...
You lnow if you order a pizza whichs radius is z and its thickness was A your equasion will be PI*z*z*A
@fedipoiana
6 жыл бұрын
KAZ ._. unfortunately there's no pizza with thickness equal to A and radius equal to z, that would be very offensive for the pizza people.
@JSSTyger
6 жыл бұрын
Actually that makes no sense.
I've never seen someone so happy talking about math
Never in my life thought I'd be laughing about a math joke
his enthusiasm is amazing
this is the happiest video i've seen on Math lol
That whole pie is just sitting there the whole time and neither take a bite? WTF man!
It’s refreshing to see someone with such a passion and excitement for what they do and love!
What i understand from this is just Pie. Which i ate 5 mins ago.
@sudhindrak
7 жыл бұрын
What a hilarious comment!! :-)
@smithmangena9767
7 жыл бұрын
Comment of the month. this made me laugh really hard. i wonder which flavour was it
@travisbaskerfield
7 жыл бұрын
Mohd Afiq. Pie.....aarggghhh
@AmritpalSingh-ch2jn
7 жыл бұрын
Mohd Afiq sqrt (-1) 2^3 E pi
@420dab9
7 жыл бұрын
Mohd Afiq u cant eat pi its irrational & infinite
Even though I have used Euler's Identity for almost 4 years now (being an engineer), I never really stopped and thought about how one imaginary and two irrational numbers combine perfectly to give -1. The professor's excitement clearly shows his love for math and his appreciation of its beauty. Great video!
I love how excited he is to explain maths. the world needs more profs like him 😃
His happiness and optimism and confidence is inspiring!
He's speakin' cursive.
@ukelelestings1931
6 жыл бұрын
Nyny 100 huh
Sir you are inspiring me to learn mathematics.
He looks so passionate about math. 😊
2:47 "hahaha * I dont get it* hahaha"
@n6ah817
6 жыл бұрын
dummy
@mauriciolara7882
6 жыл бұрын
I is not a real number, and Pi is irrational.
@innactive1407
6 жыл бұрын
Pi is a real number whilst i is rational
@amroalaa1175
6 жыл бұрын
Symbol 'i' is the root of -1 which is not a real number and that is why Pi is telling it to "Get Real". On the other hand, Pi(3.141592654 which can't be expressed in a fraction form) isn't a rational number and that is the reason i telling it to "Be Rational".
@Joelmavelikara
6 жыл бұрын
xander j. Pi isnt rational.. and i is an imaginary number.. that why pi says "get real" to i and i says get rational
He reminds me of Terence Tao.
@synchronium24
7 жыл бұрын
My sentiment exactly!
@V_V-V_V
7 жыл бұрын
I thought he was Terrence Tao from the thumbnail
@ourlordpapajohn4370
7 жыл бұрын
Shaliday.
@claudiom4958
7 жыл бұрын
Dan Schneider really!
@loqueando666
7 жыл бұрын
Dan Schneider me too ....
There are only 2 types of people in this world: those who love math and those who don't understand its beauty.
@klxsyk-3989
7 жыл бұрын
GOLD 1515 depends who you get taught by. Have hated maths all my life, but love it this year because of my teacher. My grade jumped up 4 grades
@ifeelallright
7 жыл бұрын
GOLD 1515 So whats the other type?
@gold4963
7 жыл бұрын
tallarico I said there are two types. And I named those two types. Read it again.
@ifeelallright
7 жыл бұрын
GOLD 1515 Oh, my math sucks, nevermind
@PeterAbt
7 жыл бұрын
there are only 10 types of people in this world those who understand different numeral systems and those who don't.
He looks and seems so happy and kind :) - people having him as a teacher must be so great full.
He reminds me of my lecturer, very happy and energetic, every time he introduce something new, he gets very excited of how beautiful it is
03:27 that laugh when u didn't get the joke
he is so exited lmao
@nikunikuma
6 жыл бұрын
Excited*
@comica3368
6 жыл бұрын
Seán Brennan its passion
He seems so happy explaining that, everyone should love their jobs like this
I love how happy he looks like :) it makes me smile. He really loves what he does
I was expecting him to use the pie on the table at some point but oh well...
@abdodeh7054
6 жыл бұрын
Aryamaan Singh 🤣🤣🤣🤣
I love how passionate and enthusiastic he is about this! He's doing what he loves!
He spoke with passion so beautifully. It’s rare and motivating.
giving a thumbs up just because of how enthusiastic and happy the guys sounds when describing math
What a good guy
@rezafh347
6 жыл бұрын
thanks would you like to have a battle
@nirmalanandimotionalgita6930
6 жыл бұрын
Johny Cage Wins Must watch Channel Nikhil Nirmal Geometry Theorum of 18°72°90°
I really love how enthusiastic about math he is :)
He’s so happy and joyful about it I love it
here's another beautiful number I discovered myself (idk if anyone already mentioned this in the history of math ever but I haven't done my research at the time that I am writing this, so I will proceed) 142857. why? multiplied by two, becomes 285714 by three, 428571 by four, 571428 by five, 714285 by six, 857142 but by seven, becomes 999999 anymore than six, with the exceptions of joining the number 0 to the numbers 1-6 to form a two-digit number (e.g., 10, 20, 30, etc.) and multiplying them to 142857, and the special exception of multiplying seven to it (or 70 or any number of digits starting with 7) will result in one of the digits present in 142857 to be missing. more rules: the digits present in 142857 will be present in that order when dividing a number non-divisible by 7 once (meaning it will result in a number with decimals, not a whole number) in the resulting decimals. dividing the number with 142857 in its decimals already by 7 once more will result in not seeing the number 142857. edit: okay so I did my research and it turns out this number has been discovered by other people. if you didn't understand my explanation perhaps this might help: en.wikipedia.org/wiki/142,857
I was so attentive to this guy's passion. I don't love Math, but this guy makes me want to haha
FYI, this guy is the head coach of math Olympiad team USA. A Chinese American lead a math team with majority Asians beat the Chinese team 2 years in a row. Team USA was champion in 2015 and 2016. Wish them luck in 2017.
@ffggddss
7 жыл бұрын
*led
It's so refreshing how excited about this he is, the interviewer tho......
I love how passionate he is.
I've never seen someone so excited in all my life.
I love how much he is excited about tagging this. You know he loves this stuff.
This guy explained it all so well! Thanks so much!
his enthusiasm is so great!
HE'S SO HAPPY
Not only is this very cool, but this guy has an enviable amount of energy and appreciation for mathematics.
THIS MAN LOVES WHAT HE DOES. WE need to learn from him
if any of my professors had this much enthusiasm for what they teach. I would love to be in their class.
You have to love how enthousiastic he can explain math!
Aaaawww, I love his energy, he's like a little kid trying to show off what he knows
Holy shit i never thought i’d enjoy a maths video this much. I love this guy’s positivity and energy wish he was my maths teacher.
Excellent teaching method adopted by this great mathematician!!
This video inspire me ! Not in math by in job. Look at this math teacher when he explained this equation his eyes were bright and shiny. There is no doubt that he like math and enjoy math very much . I hope I can do my job(Linux management) like him. : )
He is so happy
he's so fascinated i love it
(brought me from Person of Interest TV series) i watched 3 videos about Euler's identity from Mathologer, numberphile to this one.. now i understand something from this formula why it is so beautiful .... thanks professor
He is so happy, its very nice to see people who are enthusiastic about math because math is important.
His eyes light up as he talk about math. You can tell this man LOVES what he does.
Po-Shen went to my high school and gave our commencement speech. Great guy, he was even nice enough to teach my pre-calculus class for the day.
These are the kind of math teachers we should all have. He actually enjoys what he's doing!
2:04 The happiest person on earth
He's so likable. 😂
His enthusiasm is a real boost for me right now
I love how excited he looks