Euler is the Beethoven of Mathematics. It is said that they've managed to compile a whole volume of mathematical discoveries from what's left in his room after his death. And he is considered the most prolific mathematician of all time.
"The study of Euler's works will remain the best school for the different fields of mathematics, and nothing else can replace it". - Carl Friedrich Gauss "Read Euler, read Euler, he is the master of us all". - Pierre-Simon Laplace
We all admire Euler. I am a physicist: his name is everywhere. One of the first "advanced" thing we learn is the "Euler-Lagange" equations in Newtonian mechanics. The fact that the laws of physics can be derived from minimizing a so-called "Lagrangian" is almost a universal law of physics we owe originally to the collaboration between Lagrange and Euler although a principle of that sort was first thought by Maupertius and even Fermat. He was a man of unparallel genius and also a man who had an intuition for formulae a little like Ramanujan. (The standard model is based on a monstrous Lagrangian: our best understanding of physics minus gravity)
The number e is shorthand for Euler Number. He got a number named after him. Then there is Euler Mascheroni Constant or the Euler Constant so numbers got named after him twice.
@@kazedcat And for what I understand he was the one that discovered the taylor series of the number e. This is often overlooked and was the key for him to find the relationship with e and trigonometry through the imaginary number
Lev Pontryagin, the brilliant Russian mathematician known for his work on topology, algebra, control theory and other areas of mathematics was totally blind since the age of 14
Brilliant man. If i'm not mistaken, Euler regarded the Bridges of Konigsberg problem as trivial and wondered why it was a problem at all 😂. And graph theory was born.
I think you forgot one thing to mention. He also tried to prove the Maupertuis’s principle inherited from the Fermat’s derivation of least principle from Snell’s law. He had consumed a lot of time to express it with lots of difficulties. But later due to the help with young Lagrange’s solving, he was able to prove it to the equivalence with Newton’s second law of motion.
Your videos serve to confirm that we are indeed not all born as equals. I would be beyond delighted to possess the naturally gifted minds of such subjects. Alas.
I really respect Euler’s dedication to doing mathematics. Even while being blind, he still moves on from his setback and does mathematics despite it being much more difficult to do.
Amazing…..going to Bazel in February. I had heard of Euler in his studies. That he figured out so many things on his own…I struggle to apply what he has found. As an engineer and a pilot….I know about fluid dynamics. But I am a mere user of his thoughts and findings. The very thought that he actually figured it out is amazing. Thank you for sharing!
Euler is the master of all of us, no Gauss, no Euclid, and of course no Newton, Euler is the most relevant figure of History of Mathematics, I am so humble about all his work that is rare that I approach to his work directly becouse almost everything that you can imagine in nowadays mathematics or Euler started it or Euler developed enoght to be innecesary write more about it. Anyway we should read Euler.
I really respect how Euler continued to work after going blind at the age of 59, and worked right up to his death at age 76. But let's make it clear that Euler was not blind for most of his life or career. His most important work was completed before he went blind. A lot of his work was published years after it was written.
Amazing, I have almost seen all your videos and wondering these couple of days as to why you missed Euler. And here it is on my Android phone at 3 a m half a globe away in Addis Ababa. Synchronicity ?
I always find your videos engaging and entertaining, providing an "executive summary" on a variety of subjects. The presentation supported by factual research makes it that much better . Interesting side note, in reviewing comments on this video, I noticed your single response - at time of posting this comment, was one referring to your jacket. Had to laugh.
He was discussing about the newly discovered planets with his colleagues before collapsing. The video made him an old riteree in a solitary. The video didnt mention the beautiful eulogy "he ceased to calculate and to live". And I think those are beautiful end life of a remarkable person who once walk on this planet amongst us.
13:25 Blindness didn’t slow Euler down-he even joked about having ‘fewer distractions.’ Do you think his sense of humor and determination played a role in his success? How can we apply that mindset to challenges in our own lives?
There should be a movie about him. You feel empowered and loving maths and physics when you learn about someone like Euler. Slow down the number of movies about WWII scientists.
I couldn't resist checking out the problems supposedly taken from the Elements of Algebra @13:36. It seems strange that only a single real solution is given for each problem. For example, for problem 5, the complex solutions -2 + 3i and -2 - 3i are not listed. In problem 10 there is a misprint: y = 5 is not a solution unless -330 is supposed to be -430 (and the other solution would be 86). So maybe Euler's eyesight really wasn't that great by then or something got lost in translation. Yeah, I'm a geek.
Unexpected treat, but a treat nonetheless. Euler is one of the greats, and it's a shame the world doesn't respect mathematics like it does the physical sciences. Euler should have the same status as Newton, Einstein, or Curie. One of the greatest minds ever (and was apparently a good human to boot.)
I wonder if he had our computers if it would have exponentially helped him, or if it would have killed his discoveries in the crib, and made his mind lazy by not learning the basics, and relying too heavily on our electronic computers.
The euler formula is wrong. One side is the exp function which ranges to infinity by definition. Other side is a sum of trig functions each ranging between -1 & 1, ie its always finite also by definition. Don't you see the issue? And the root of that error, that strangely no one sees, is that euler used the Taylor series for exp function and entered iθ in it. But that Taylor series was validated for real numbers only. Is iθ a real number?
13:29 I love this channel but I wish you would stop using these rubbish AI-generated images. This one has a candle sprouting from the middle of a book for goodness' sake.
Informative but very very very non attractive to listen to. The voice is an endless stream of words. Speeding, no rest, as if a 90s computer reads it. I stopped it.
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Charles Darwin life
next up: Emmy Noether, Mary Shelley, Maryam Mirzakhani
copernicus
Nikolai Lobachevsky is a very interesting and important but little-known mathematician.
SN bose and Paul erdos
Euler is the Beethoven of Mathematics.
It is said that they've managed to compile a whole volume of mathematical discoveries from what's left in his room after his death.
And he is considered the most prolific mathematician of all time.
Beethoven is the Euler of music.
@@HTOP1982as a pianist i much rather prefer tchaikovsky and tbh i don't really see beethoven in solo recitals
The point is, Euler stays the GOAT of mathematics nonetheless @imqx.
@imqx. you ever noticed that no one ever sees Beethoven and Eminem in the same place, at the same time?
@@HTOP1982ok
When I was taking my masters in mathematics, I realized just how big his influence was that I consider him my mathematics hero.
"The study of Euler's works will remain the best school for the different fields of mathematics, and nothing else can replace it". - Carl Friedrich Gauss
"Read Euler, read Euler, he is the master of us all". - Pierre-Simon Laplace
We all admire Euler.
I am a physicist: his name is everywhere. One of the first "advanced" thing we learn is the "Euler-Lagange" equations in Newtonian mechanics. The fact that the laws of physics can be derived from minimizing a so-called "Lagrangian" is almost a universal law of physics we owe originally to the collaboration between Lagrange and Euler although a principle of that sort was first thought by Maupertius and even Fermat.
He was a man of unparallel genius and also a man who had an intuition for formulae a little like Ramanujan.
(The standard model is based on a monstrous Lagrangian: our best understanding of physics minus gravity)
The number e is shorthand for Euler Number. He got a number named after him. Then there is Euler Mascheroni Constant or the Euler Constant so numbers got named after him twice.
I agree somehow you get the same kind of vibe from him and Ramanujan, while at the same time Euler feels closer to Gauss
@@kazedcat And for what I understand he was the one that discovered the taylor series of the number e. This is often overlooked and was the key for him to find the relationship with e and trigonometry through the imaginary number
Lev Pontryagin, the brilliant Russian mathematician known for his work on topology, algebra, control theory and other areas of mathematics was totally blind since the age of 14
Euler discovered and created so much mathematics that there's literally a Wikipedia page JUST for listing the things named after and discovered by him
Bro isn't a gigachad blud is a quettachad
Jesus loves you!❤✝️Repent and God bless
This has got to be the best video on Euler. Thank you
It's AI generated.
Brilliant man. If i'm not mistaken, Euler regarded the Bridges of Konigsberg problem as trivial and wondered why it was a problem at all 😂. And graph theory was born.
I have a Euler in my genealogy frim Switzerland married Keller in USA around 1750
I think you forgot one thing to mention. He also tried to prove the Maupertuis’s principle inherited from the Fermat’s derivation of least principle from Snell’s law. He had consumed a lot of time to express it with lots of difficulties. But later due to the help with young Lagrange’s solving, he was able to prove it to the equivalence with Newton’s second law of motion.
Yessss finally, an episode on the 🐐
Your videos serve to confirm that we are indeed not all born as equals. I would be beyond delighted to possess the naturally gifted minds of such subjects. Alas.
My Favorite Mathematician
at 9:36 it's the icosahedron that owns 20 faces
I really respect Euler’s dedication to doing mathematics. Even while being blind, he still moves on from his setback and does mathematics despite it being much more difficult to do.
Amazing…..going to Bazel in February. I had heard of Euler in his studies. That he figured out so many things on his own…I struggle to apply what he has found. As an engineer and a pilot….I know about fluid dynamics. But I am a mere user of his thoughts and findings. The very thought that he actually figured it out is amazing. Thank you for sharing!
6:23 Anyone else notice the ghost undo the curtain, or is it just me?
What is it
it was just a loose binding
Euler is the master of all of us, no Gauss, no Euclid, and of course no Newton, Euler is the most relevant figure of History of Mathematics, I am so humble about all his work that is rare that I approach to his work directly becouse almost everything that you can imagine in nowadays mathematics or Euler started it or Euler developed enoght to be innecesary write more about it. Anyway we should read Euler.
He is master of us all ~ Pierre Simon Laplace
Apparently he said now there is less to distract me from my work when he went blind
I really respect how Euler continued to work after going blind at the age of 59, and worked right up to his death at age 76. But let's make it clear that Euler was not blind for most of his life or career. His most important work was completed before he went blind. A lot of his work was published years after it was written.
That jacket looks so good on you! Love the color
Amazing, I have almost seen all your videos and wondering these couple of days as to why you missed Euler. And here it is on my Android phone at 3 a m half a globe away in Addis Ababa. Synchronicity ?
I love hearing about the revolutionary works of ages gone by.
I always find your videos engaging and entertaining, providing an "executive summary" on a variety of subjects. The presentation supported by factual research makes it that much better
. Interesting side note, in reviewing comments on this video, I noticed your single response - at time of posting this comment, was one referring to your jacket. Had to laugh.
Besides being one of the giants in math, he was a guy with a big heart.
been waiting for this one what a treat!!!!
Congratulations on surpassing 1 million subscribers.
He was discussing about the newly discovered planets with his colleagues before collapsing. The video made him an old riteree in a solitary. The video didnt mention the beautiful eulogy "he ceased to calculate and to live". And I think those are beautiful end life of a remarkable person who once walk on this planet amongst us.
Wow. Just wow. What a man.
Thankyou for this video. ❤
Happy new year guys 😊
Hope this year will have a good time in maths cuz year started with EULAR❤
Thank u for considering my request ❤
Euler was a great mathematician who became blind and yet continued with great Mathematics
Another masterclass by Cindy. Thank you.
I thought it was Gauss. Either way, they are undoubtedly two of the greatest mathematicians of all time.
Euler is the goat🗣️🔥
Love your channel. Big fan. ❤ 🔥
Leonhard Euler, the God of mathematics. 🎉😊
9:26 The icosahedron and dodecahedron images and labels are in the wrong positions. They should be swapped.
Well, he was already the greatest, when he lost his eyesight. What's amazing is that he kept going after that.
13:25 Blindness didn’t slow Euler down-he even joked about having ‘fewer distractions.’ Do you think his sense of humor and determination played a role in his success? How can we apply that mindset to challenges in our own lives?
next up: Emmy Noether, Mary Shelley, Maryam Mirzakhani
And Ada Lovelace
Ya era hora que hablen de este genio
love ur content ❤❤🎉😊
There should be a movie about him. You feel empowered and loving maths and physics when you learn about someone like Euler. Slow down the number of movies about WWII scientists.
Amazing video
I couldn't resist checking out the problems supposedly taken from the Elements of Algebra @13:36. It seems strange that only a single real solution is given for each problem. For example, for problem 5, the complex solutions -2 + 3i and -2 - 3i are not listed. In problem 10 there is a misprint: y = 5 is not a solution unless -330 is supposed to be -430 (and the other solution would be 86). So maybe Euler's eyesight really wasn't that great by then or something got lost in translation. Yeah, I'm a geek.
i was thinking about the same thing, didnt think anyone would notice or care though. you got a nice eye for detail
A single work of Euler is enough to label him a famous mathematician . Eg. His solution of the Basel problem
I wish there was a movie about Euler
@6:23 : what's happening with that curtain in the background?
Grothendieck next Grothendieck next pleeeeaaaaaaseeeee
Excellent!
Can you do a video about Napoleon Bonaparte next?
Doesn't someone has some insecurities they need to work out?
Unexpected treat, but a treat nonetheless. Euler is one of the greats, and it's a shame the world doesn't respect mathematics like it does the physical sciences. Euler should have the same status as Newton, Einstein, or Curie. One of the greatest minds ever (and was apparently a good human to boot.)
I knew sooner or later this gonna happen
She's doing these types of videos a lot now
Jesus loves you!❤✝️Repent and God bless
You're telling me he went blind in one eye in the year 1738?? Euler was the Fetty Wap of mathematics
Even if half of it were false he’d have lived ten times the life of a normal man… incredible.
6:21 the background scared me
I don't know why I cried.
I wonder if he had our computers if it would have exponentially helped him, or if it would have killed his discoveries in the crib, and made his mind lazy by not learning the basics, and relying too heavily on our electronic computers.
The euler formula is wrong. One side is the exp function which ranges to infinity by definition. Other side is a sum of trig functions each ranging between -1 & 1, ie its always finite also by definition. Don't you see the issue? And the root of that error, that strangely no one sees, is that euler used the Taylor series for exp function and entered iθ in it. But that Taylor series was validated for real numbers only. Is iθ a real number?
So, is it Euler or Gauss?
Great ❤❤❤
Why do you imply that a mathematician should abandon Christianity?
People can't understand math deeply this subject is case someone They simply accept. 2:45
French accent on point 😅
❤❤❤
TBF most children or adults don't know algebra today. We're still d af overall.
Euler is the impossible man
Cool😊
El mejor
❤
13:29 I love this channel but I wish you would stop using these rubbish AI-generated images. This one has a candle sprouting from the middle of a book for goodness' sake.
Gigachad
Jesus loves you!❤✝️Repent and God bless
If you love me, keep my commands.
John 14:15
Informative but very very very non attractive to listen to. The voice is an endless stream of words. Speeding, no rest, as if a 90s computer reads it. I stopped it.
It's an AI generated video, of course the speech sound like a computer.
e
criminally low view count
It's an AI generated video.
Make up your mind. You called Gauss the greatest in an earlier video.😊
This is AI generated vomit.
Sick of ai videos :( I think a warning should be placed at the start.
@@charmer1979 Yeah, I agree. Hopefully with time, filters will be added to ferret out AI videos from everything else.