@4:44 When you're explaining Gauss's groundbreaking math but can't pick the right compass...TOTAL brain fart Try brilliant.org/Newsthink/ for FREE for 30 days, and get 20% off your annual premium subscription
Euler, and GH Hardy. Georgie greens biography makes for a fantastic story the genius baker who revolutionised our understanding of the electromagnetic field. I also believe he was the oldest wrangler as well
Compared to how ignorant we are now even with how much we have 😭😭😭🙏 Remember Jesus loves you so he died for you because he wants to know you❤️Repent and God bless you all *before you start raging at me saying things like the earth is 4.5 billion years old, Adam and eve and the bible is stupid, I believe the earth is 4.5 billion years old, I believe in Neo-darwinian evolution, and I believe Adam and Eve are the first humans with souls I dont think the bible is a science textbook, but a historical narrative
Now its all about memorization for general public So memorize it: n(n+1)/2 sum of n natural no. n(2n+1)(n+1)/6 sum of square of n natural no. Memorization = general public.
Its all memorization now. x =[ -b ± (b^2 - 4ac)^1/2]/2a d/dx x^n = nx^n-1 ∫ x^n dx = [(x^n+1)/n+1] + C Anyways Remember Jesus loves you so he died for you because he wants to know you❤️Repent and God bless you all *before you start raging at me saying things like the earth is 4.5 billion years old, Adam and eve and the bible is stupid, I believe the earth is 4.5 billion years old, I believe in Neo-darwinian evolution, and I believe Adam and Eve are the first humans with souls I dont think the bible is a science textbook, but a historical narrative
@@Loots1 That doesn't immediately make you a genius though. For example, when I was 5 years old, I already knew addition due to curiosity and the enthusiasm of my parents, even though I could barely write printed letters and wrote numbers the wrong way around, etc. I didn't know multiplication, but secretly, in my small notebook, I came up with the operation of exponentiation with an exponent of 2. I went up above one million, even though I did not know what the number was called. The 4-s were written flipped, etc. :D I should still have the notebook around somewhere. Still, after growing up, I'm just an average person with no higher education or very outstanding skills, but also not vulnerable due to lack of overall skills.
Having done a LOT of math in the past few decades, Gauss surely stands out as one of the greatest. But I must say, in my opinion, looking back, Euler just takes the cake - clearly. To me his body of work is just absolutely mind-blowing. His reach and variety is just almost infinite - and he never stopped. During a time when people died young, he was still pumping out quality work into his 70s. If I have to pick a favourite of their work, to me Gauss is easy, the Theorema Egregium is really remarkable. When it comes to Euler, I could not even know where to start. Probably 100 times I just sat there and was in awe how he managed to dream these things up. It just feels like they may have had the same intellect, but Eulers imagination stretched quite a bit farther. There was just no limit to where he could go. He lives in a league of his own - there will never be another like him. There is a reason where there are like a million constants, identities, formulas, equations etc named after him. He was the one and only god-king. Just my thoughts.
To be fair, there is exactly one of each named after him, else two different things would be named the same. To also be fair, everything Euler has named after him, Gauss has as well. Constants, a field of equations, a whole own mathematical way of solving them ( Gauss'sche Lösungsmatrix ). What he doesn't have is a number that's not a constant in a specific equation named after him like e. But Euler never became a unit of measurement like Gauss. Not taking sides, just 'to be fair'.
I'll die on this hill too. Euler's intellect was like a bottomless pit.The more math, and science in general, you study, the greater the awe for the man. And he was a very kind person as well, something that I'm not sure could be said of Gauss.
@@TheGrandmaMoses Fair, but Eulers stuff on average, in my opinion, just hits different. I invite you to list the main things named after Gauss and the main things named after Euler side by side, and assess them based on universality and just general Epicness. Euler hits different, I stick with it. When I think about Gauss, I think of someone just 100 times smarter and harder working than me. Euler has an other aura around him, almost a little divine.
Some people can't be "elevated", or can only be "elevated" a very small amount. No two human beings are alike. The quest for "equity" is a kind of terrorism.
You're absolutely right. If not for the Duke during Gauss younger years, he might have given up or fallen into depression from poverty and followed a different path. Sometimes maybe aptitude is all it takes to show there's talent in there, genius might not always manifest boldly until the individual matures.
you haven't learned enough math then. There are other big names like Euler, Cauchy, Fourier, Legendre, Lagrange, Riemann, Borel, Lebesgue, Poincare, etc. Math is not built by only a few.
@@cuervo-u6ris the guy supposed to know all of that or what? Cuz as a math major myself i gotta admit math is just so spread out now that i don't think anyone should know everyone. I mainly focused on operation research and i gotta admit the only guy i remember is danzig and that's it.
@@cuervo-u6r of course and i can name even more mathematicians that have contributed to my learning starting with euclid, i was just generalizing , relax guys edit: I probably should have said Pythagoras since he came about 200 years before euclid and i could keep naming mathematicians from them until Galois and even further.
I like how he says, "if anyone would think about math as deeply as I, they would discover these things too" but he told his son who clearly wanted to get right into math, he doesn't have the aptitude 🤣
Agreed, sadly he was closer to his father than he was to the duke in this regard. And to picture what he said to Johan upon the discovery of non-Euclidian Geometry as praise is kind of ridiculously naive. He seemed jealous and regretful of not have the courage to make his discoveries public. But, you know, everybody has flaws, and he seemed to be in a bad moment of his life... maybe when he spoken about handwork he repented of his pride, who knows?...
The father-son relationship is dependent on many factors for success, it's impossible to know what theirs was truly like. He may have said both those things but context matters. He had his reasons. What happened to the son?
@@kartikgkalita It is sad that he died at such a young age. Perhaps he would've become one of the greatest mathematicians in history if he lived a full life, but it's simply incorrect to place him amongst the greatest mathematicians in history.
Abel and Galois (and Ramanujan (already mentioned)). All three with interesting biographies, though they all three died very young the contributed more than a lifetime of brilliance.
I would add Newton and Riemann to the list as well. Come to think of it it's kind of unfair to make such a list, for many reasons. What is harder? Standing on the shoulders of titans and using the knowledge they created to try and solve more and more complex problems that remain unsolved or be an early pioneer? Euler was undoubtedly a genius but he tried to prove Fermat's theorem and failed. (He proved it for n=3 but couldn't for n>3). Andrew Wiles, a contemporary of ours, proved it. Does that mean Wiles>Euler? I don't think it does, I would bet Wiles himself would dismiss the comparison as ridiculous. He had mathematical tools at his disposal Euler could never have dreamed of. But technically he did succeed where Euler failed, so what do we do with that? The answer is nothing. We don't make top 10's mathematics is not a pop music chart.
@@momoz74 After the top 2, it gets crowded and hard after that. George Boole probably had as a great an impact as anyone -- transistors and logic gates anyone.
This is why we need guaranteed public education, even at college level -- we should not let genius like his be at the mercy of finding a rich person who cares about it.
They may not be at the mercy of finding a rich person but if it was publicly funded they would be at the mercy of crappy education systems that makes students hate math and science. The best alternative is free market alternatives like youtube, briliant and 3blue1brown
Carl Friedrich Gauss, often called the "Prince of Mathematicians," was a true pioneer in science and mathematics. His groundbreaking contributions to number theory, geometry, and analysis laid the foundation for many modern advancements. Beyond mathematics, his work in physics, astronomy, and geodesy showcased his versatility and genius. Gauss's ability to solve complex problems with elegance continues to inspire mathematicians and scientists worldwide. His life is a shining example of how curiosity and intellect can drive humanity forward, leaving an enduring legacy of brilliance and innovation that shapes our world to this day.
The problem I have with naming people as the "greatest mathematician" is that it does a great disservice to those giants who came before them, those who developed maths from the beginning of thought. Without their work, where would people like Gauss and Euler begin their work?
The title of greatest mathematician should be primarily based on the breath and sheer improvements (aka level and degree of advancements) in direct relation and comparison to previous discoveries. I would think that the discovery of relativity or coming up with a formula for prime numbers when there is little basis to base it off of is greater than proving the Fermat's last theorem when there is much basis for the theorem to start with (still an astounding achievement nonetheless however). Many of Euler's and Gauss's discoveries classify as advancements whose leaps are greater and more innovative than earlier advancements which had careful advancements made before their advancement.
@@Syndiate__ Newton still kinda wins in my book. Calculus is just incredibly powerful. I understand Euler and Gauss contributed more theorems and unlocked many foundational truths, the Gaussian distribution being a big deal, but the power of calculus is unmatched. Nothing like it since the discovery of PI and trigonometry.
With all due respect, the title of Greatest Ever Mathematician thus far should go to Leonhard Euler. Euler worked in almost all areas of mathematics, including geometry, infinitesimal calculus, trigonometry, algebra, and number theory. Besides, he made significant contributions to Physics as well. In many ways, Euler was to Mathematics what Newton was to Mathematics. Gauss was the prince, while Euler was the benevolent Emperor in the Kingdom of Mathematics !
The greatest ever is just a title which is different for person to person , it's very hard to find the objective answer to this , it's like asking who is the most prettiest person who ever lived . There are few great contender to this title and you can argue for any of them . But this argument is kind of pointless because you it have no use and neither can you ever verify your answer to be correct. For example if I ask you which religion is best / which god is best . There is no definite answer to this questions. So you can think who is the greatest mathematicians as same question as this .
@@gaurabdahal2 " There are few great contender to this title and you can argue for any of them ." Uhh no. There are only two so far Euler & Gauss. And Euler comes out on the top because his contribution to mathematics. The sheer number of both quantity & quality work Euler has done in Mathematics is mind boggling. A fun fact: In one of the Mathematicians polls for the most beautiful math equation, 3 out of top 5 were Euler's.
One of the most amazing contributions of Gauss to science was non-Euclidean geometry. Non-Euclidean geometry describes spaces with curvature, like the surface of a sphere. Gauss had the insight that space may be curved, and even conducted experiments to find out. Einstein much later used non-Euclidean geometry for his theory of General Relativity, which states that gravity is caused by the curvature of space-time. Gauss's intuition that space may be curved was pure genius!
when just as a normal human as i am , and people tell me about space and time, i just wonder what kind of brain God gave these people. I just wonder...
@@dacianbonta2840 My notes show that Gauss was the first to conceive of non-Euclidean geometry, but not the one who developed it. Gauss was a close friend of the Hungarian mathematician Farkas (Wolfgang) Bolyai, who was also interested in the foundations of geometry and in the parallel axiom. Farkas' son was Janos Bolyai, one of the founders of non-Euclidean geometry, independently with Nikolai Lobachevsky. Lobachevsky was influenced by Johann Bartels, who was a former teacher and friend of Gauss. It's not clear if Lobachevsky was in any way inspired by Gauss' work on non-Euclidean geometry. But it's clear that Janos Bolyai was inspired by Gauss' work.
@@jerzypawlowski7999 the story on this side of the Hajnal Line is the opposite, Gauss shot down Janos' ideas and his attempt to publish his work. Despondent over being rejected by the perceived authority in the field, Janos abandoned research. Contrast to Cauchy's treatment of Ruffini.
I mean the father wasn't super bright. Carl was noticed by very prominent people and he refused to accept that they could offer his boy a better future. And then his son becomes even more successful and the dad is mad at him and never speaks to him again? Or maybe Carl was mad at his dad and refused to speak to him again, who knows.
@@TheSkyFallTronic I know too many people like this, and I think it is representative in significant ways. What is beyond their ability to comprehend DOES NOT exist. The next POTUS is a classic example.
Gauss was incredible! One thing I learned about his family was that he only has a handful of descendents in Germany but hundreds in America. His son Eugen that he did not think highly of prospered and had many children, grandchildren, etc.
I was wondering about that. Do you know if there were any mathematicians or similar in the lot? I just looked Eugen up in Wikipedia de.wikipedia.org/wiki/Eugen_Gau%C3%9F
Germany as a region did exist though. More as a linguistic and cultural region, that was politically fractionalized but still very much identifiable. This is simply supposed to show where Braunschweig is in nowadays Germany.
Who are you? This presentation is so well done; so pleasant to listen to your voice, with the music NOT being a distraction. And what a decent person Gauss was!
Gauss is what happens when huge talent and opportunity mix while sustained by hard work fueled by genuine passion. Many have the talent but lack opportunity. Others have both but lose passion and burn out. Many have passion but even hard work can't compensate for their lack of natural talent. Gauss just steamrolled through all of these variables.
Gauss was the man of applied math and number theory, Euler was the man analysis, geometry, number theory, topology, combinatorics. I think Euler deserved to be greatest mathematician than gauss
Euler subsequently changed his mind and upvoted this video once he realized Gauss wasn't going to compete with him or be an adversary during Euler's lifetime, due to their vast age difference.
Don't forget Archimedes. He developed the first steps of calculus 2000 years before Newton and Leibnitz. I really like his solutions - I always say it looks like calculus done by aliens.
Teaching calculus I was struck by Archimedes continuing influence on textbooks. The notorious problem of finding the volume of the perpendicular intersection of two right circular cylinders of the same radius ? The problem is in every calculus textbook I taught out of. Yes, Archimedes solved that problem!
9:15 "He didn’t just predict the stars... he became one." Carl Gauss wasn't just a mathematician; he was a true visionary. When astronomers couldn't find the missing planet Ceres, it was Gauss who cracked the code. His precise calculations led to the planet's reappearance-just as he had predicted. A celebrity mathematician-but the world didn't fully understand his genius yet...
It's so rare and delightful to hear about a hyper genius that also thrived in his personal life. Two very strong marriages and several children. His only bad luck in that arena was bad luck common to all at the time.
More on the connection between Gauss and General Relativity. Gauss directed his student Bernhard Riemann to develop the geometry of curved space. So Riemann developed differential geometry and introduced the curvature tensor. Einstein later applied Riemann's differential geometry to develop his General Theory of Relativity. But it wasn't just mere coincidence that Riemann's differential geometry formed the basis of General Relativity. It was by design, because Gauss and Riemann wanted to develop a geometry to describe curved space. Einstein then realized that a curved space can explain gravity, and that was his genius connection.
If there was one flaw in Gauss' rich mathematical life, it was that he refused to read Abel's proof for the insolvability theorem of quintic equation and just tossed it to the trash bin. Sadly Abel died too young, if only Gauss was willing to listen to him.
"Cindy Pom is an amazing narrator with a voice and accent that's so clear and easy to understand. The storytelling is captivating, and the editing is absolutely top-notch-it keeps viewers engaged throughout! I love every bit of the content you create. Sending lots of love and support from Pakistan! 💖"
She slurs her words sometimes and it sounds like something completely different. It's apparent in this video at the beginning when she talks about the potatoes and Carl counting them.
No comment Anyways Remember Jesus loves you so he died for you because he wants to know you❤️Repent and God bless you all *before you start raging at me saying things like the earth is 4.5 billion years old, Adam and eve and the bible is stupid, I believe the earth is 4.5 billion years old, I believe in Neo-darwinian evolution, and I believe Adam and Eve are the first humans with souls I dont think the bible is a science textbook, but a historical narrative
Imagine how much harder an ordinary life was back then ... and still people achieved and created incredible ingenious things. No electricity, no modern medicine, death through war, sickness or famine always looming. Incredible. And still people probably had more morals than today.
He doesn't just have an ease with numbers and quantities, his conceptual intuition is remarkable. He doesn't only understand values. He understands problems.
You are not any less magnificent person than anyone else brother. You might not be Gauss or Euler, but God probably not even wanted that. He wants you to be you.
Srinivasa Ramanujan. He made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematics and problems then considered unsolvable. As far as mathematicians go, G.H Hardy from Cambridge gave himself a score of 25, J. E. Littlewood 30, David Hilbert 80 and Ramanujan 100.
CG (the prince of mathematics and a king of number theory) was a creative and incomparable genius of pure and applied mathematics. 🖐️🖐️ And he knew numbers especially prime numbers very well... His great conjecture on the distribution of primes that later became the Prime Number Theorem is mind-boggling for which the great Euler could not imagined possible. Go CG! 👍👍
"I am, somehow, less interested in the weight and convolutions of Einstein’s brain than in the near certainty that people of equal talent have lived and died in cotton fields and sweatshops." If it wasn't for the Duke, Gauss would have been lost. And like him millions. It's time to move towards a post-capitalist society.
@@jaygin6518a collectivist ideology/economic system or socially orientated system, one which prioritises the development of a society at all levels and not shareholder profits
Now that's what you call a real man! 1.) Contributed a lot to the world , so much that anyone who is a science student or engineer, cannot escape his name. 2.)) Chose his passion over money and made it his profession. 3.)) Loved his wife , and raised a family. 4.) Though things did not turn out to be good with his personal life , he didn't cry about , and focused on producing ground breaking works .
@@philblandford5560 He was dirt poor, where exactly could he have looked it up? He couldn't afford any books detailing the days of holidays in a certain year
Mathologer says about this that no method appears in the early story. But discovering a general method is what would make this a cool story. ??? Did Gauss just add really fast? Did it never happen? IAC, a formula goes back at least to the ancient Greeks, as triangular numbers.
So the benevolence of one duke (and the insane luck of meeting him) made Gauss’ career possible. Just like UBI would more equitably do, for the rest of us.
WOW.......This video is truly fascinating. This is the best and one of the most informative videos I have ever seen on RUclips....as a result, I have subscribed....Big Giant Thumbs up for this video. Thanks for making more knowledgeable.
@@aviraj4587 Aaaaaa ahahahahahaa, you're right, they did edit it--they just blurred it out like a blob. How pathetic. Yeah, it was a magnetic compass--like the one you use for orientation to tell you which was is North, round with a magnetic needle. Dude, that's hilarious.
4:44 proves the video and the script is nothing but AI generated. Unsubscribed. Nothing more than a narrator who doesn’t even understand the subject matter.
yes, I remember learning about Gaussian elimination in matrices back in college, Gauss Jordan, Gauss Jacobi etc. sadly, I can’t even remember what they’re about anymore 😂 but I do remember how excited I was back then.
Thank you for that story, i also discovered when i was studying in Göttingen- Visiting all the pictures you showed , i got a backlash to my times of studying there. I admired Gauss , looked it all up and even the house, he lived in. The street was later named after him Gaussstrasse. Also, i knew and recognized the points, where he did his triangulations.You have found and shown the right pictures of the small hills, Lower Saxony ( as the former Kingdom of Hannover) is now called, has to offer for that. In the flat marschlands, near the North Sea, he used church towers. The old Observatory is still standing and in use, offers lectures for visitors. Göttingen was and still is such a famous science place and also home to the last universal scientist and genius Gottfied Wilhelm Leibnitz. I don't know, how many Nobel Prices went to Göttingen, but there are quite a few, namely in physics. Windtunnels and the groundbreaking facts of aerodynamics were also founded there. I was fascinated and changed my studying to math, physics, and philosophy there.
1:25 The actual calculation he probably used was (1+99=100, 2+98=100, 3+97=100, etc.) x 49 = 4900. To which he then added the 100 and the 50 which quickly gives a total of 5050. Probably all done in his head, no pen and paper needed. He was about 7 y.o.
@4:44 When you're explaining Gauss's groundbreaking math but can't pick the right compass...TOTAL brain fart
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Euler, and GH Hardy. Georgie greens biography makes for a fantastic story the genius baker who revolutionised our understanding of the electromagnetic field. I also believe he was the oldest wrangler as well
Neil bhor Erwin Schrodinger
This isn't a small mistake. Did you outsource the video's graphics to Indians? I'm shocked.
@@markshiman5690are you talking about American Indians or Asian Indians?
@@Sciencechem1997 "Neil bhor"??? I guess you mean Niels Bohr (Danish). Misspelling both of his names you are probably American?
Bro made a candle out of a potato so he could do algebra in the dark
That while I was procasinating algebra
😭 he really is different no wonder his the prince of mathematics
@乙乇尺-k4z we have lost. . . . . . Genetically
meanwhile kids can't figure out 1 + 1 with light, teachers, an entire global network of computers and available AI to teach them 😂
Compared to how ignorant we are now even with how much we have 😭😭😭🙏
Remember Jesus loves you so he died for you because he wants to know you❤️Repent and God bless you all
*before you start raging at me saying things like the earth is 4.5 billion years old, Adam and eve and the bible is stupid, I believe the earth is 4.5 billion years old, I believe in Neo-darwinian evolution, and I believe Adam and Eve are the first humans with souls
I dont think the bible is a science textbook, but a historical narrative
My math teacher in HS told me the story of Gauss adding the numbers 1-100 using his simple observation…and I thought that’s exactly what genius is.
yeah he was TEN years old, this story is included in appendix E of james stewarts calculus
Now its all about memorization for general public So memorize it: n(n+1)/2 sum of n natural no.
n(2n+1)(n+1)/6 sum of square of n natural no.
Memorization = general public.
Its all memorization now.
x =[ -b ± (b^2 - 4ac)^1/2]/2a
d/dx x^n = nx^n-1
∫ x^n dx = [(x^n+1)/n+1] + C
Anyways Remember Jesus loves you so he died for you because he wants to know you❤️Repent and God bless you all
*before you start raging at me saying things like the earth is 4.5 billion years old, Adam and eve and the bible is stupid, I believe the earth is 4.5 billion years old, I believe in Neo-darwinian evolution, and I believe Adam and Eve are the first humans with souls
I dont think the bible is a science textbook, but a historical narrative
@@Loots1 That doesn't immediately make you a genius though. For example, when I was 5 years old, I already knew addition due to curiosity and the enthusiasm of my parents, even though I could barely write printed letters and wrote numbers the wrong way around, etc. I didn't know multiplication, but secretly, in my small notebook, I came up with the operation of exponentiation with an exponent of 2. I went up above one million, even though I did not know what the number was called. The 4-s were written flipped, etc. :D I should still have the notebook around somewhere.
Still, after growing up, I'm just an average person with no higher education or very outstanding skills, but also not vulnerable due to lack of overall skills.
the genius is Gauss worked it out in about 15 seconds when the teacher's aim was to keep the kids quiet for half an hour
Leonhard Euler (April 15, 1707 - September 18, 1783) and Carl Gauss (April 30, 1777 - February 23, 1855) were Mathematical Monsters!
don't ever forget Newton the goat
Euler was a savage beast....I think he saw numbers everywhere....he breathed mathematics.
lol I saw the title of the video before the thumbnail. the answer is always either Euler or Gauss
Gauss was a great mathematician, but I think we all know a video with this title should've been about Euler.
@@lanevalhalla1225 In math Newton was a toddler compared to Euler or Gauss.
Having done a LOT of math in the past few decades, Gauss surely stands out as one of the greatest. But I must say, in my opinion, looking back, Euler just takes the cake - clearly. To me his body of work is just absolutely mind-blowing. His reach and variety is just almost infinite - and he never stopped. During a time when people died young, he was still pumping out quality work into his 70s. If I have to pick a favourite of their work, to me Gauss is easy, the Theorema Egregium is really remarkable. When it comes to Euler, I could not even know where to start. Probably 100 times I just sat there and was in awe how he managed to dream these things up. It just feels like they may have had the same intellect, but Eulers imagination stretched quite a bit farther. There was just no limit to where he could go. He lives in a league of his own - there will never be another like him. There is a reason where there are like a million constants, identities, formulas, equations etc named after him. He was the one and only god-king. Just my thoughts.
To be fair, there is exactly one of each named after him, else two different things would be named the same.
To also be fair, everything Euler has named after him, Gauss has as well. Constants, a field of equations, a whole own mathematical way of solving them ( Gauss'sche Lösungsmatrix ).
What he doesn't have is a number that's not a constant in a specific equation named after him like e. But Euler never became a unit of measurement like Gauss.
Not taking sides, just 'to be fair'.
Have to agree
I'll die on this hill too. Euler's intellect was like a bottomless pit.The more math, and science in general, you study, the greater the awe for the man. And he was a very kind person as well, something that I'm not sure could be said of Gauss.
@@TheGrandmaMoses Fair, but Eulers stuff on average, in my opinion, just hits different. I invite you to list the main things named after Gauss and the main things named after Euler side by side, and assess them based on universality and just general Epicness. Euler hits different, I stick with it. When I think about Gauss, I think of someone just 100 times smarter and harder working than me. Euler has an other aura around him, almost a little divine.
To say that there will never be an intellectual equal to Euler is, eh, pretty bold and unfair to some of todays greatest minds
Gauss is a perfect example of why society needs to elevate EVERYONE because you never know who's going to be a game changer!
Some people can't be "elevated", or can only be "elevated" a very small amount. No two human beings are alike. The quest for "equity" is a kind of terrorism.
@FilipSwoboda what the hell are you talking about and how did link "terrorism" to any of this are you high?
You're absolutely right. If not for the Duke during Gauss younger years, he might have given up or fallen into depression from poverty and followed a different path. Sometimes maybe aptitude is all it takes to show there's talent in there, genius might not always manifest boldly until the individual matures.
@@FilipSwoboda huh?
@@stefanc4520 Could just be someone who thinks the very idea of public education available to all children is "communism".
im a 3rd year math major and the majority of everything ive learned come from gauss, bernoulli or newton
euler??
you haven't learned enough math then. There are other big names like Euler, Cauchy, Fourier, Legendre, Lagrange, Riemann, Borel, Lebesgue, Poincare, etc. Math is not built by only a few.
@@cuervo-u6ris the guy supposed to know all of that or what? Cuz as a math major myself i gotta admit math is just so spread out now that i don't think anyone should know everyone. I mainly focused on operation research and i gotta admit the only guy i remember is danzig and that's it.
@@cuervo-u6r don't forget Descartes
@@cuervo-u6r of course and i can name even more mathematicians that have contributed to my learning starting with euclid, i was just generalizing , relax guys
edit: I probably should have said Pythagoras since he came about 200 years before euclid and i could keep naming mathematicians from them until Galois and even further.
I like how he says, "if anyone would think about math as deeply as I, they would discover these things too" but he told his son who clearly wanted to get right into math, he doesn't have the aptitude 🤣
Maybe the son didn't think as deeply as him and just made empty claims to be as good as his father one day. That'd upset anyone.
How unfortunate that he lacked the compassion to support his son the same way his father did not support him.
Agreed, sadly he was closer to his father than he was to the duke in this regard. And to picture what he said to Johan upon the discovery of non-Euclidian Geometry as praise is kind of ridiculously naive. He seemed jealous and regretful of not have the courage to make his discoveries public. But, you know, everybody has flaws, and he seemed to be in a bad moment of his life... maybe when he spoken about handwork he repented of his pride, who knows?...
The father-son relationship is dependent on many factors for success, it's impossible to know what theirs was truly like. He may have said both those things but context matters. He had his reasons. What happened to the son?
The thing is, probably not more than 10 guys in history could think about math as deeply as him 😂😂😂😂
Gauss and Euler the greatest mathematicians of the last 300 years.
@@kartikgkalita wanted to name him to. He was truly a magician who saw infinite sums for what they were.
@@kartikgkalita It is sad that he died at such a young age. Perhaps he would've become one of the greatest mathematicians in history if he lived a full life, but it's simply incorrect to place him amongst the greatest mathematicians in history.
Abel and Galois (and Ramanujan (already mentioned)). All three with interesting biographies, though they all three died very young the contributed more than a lifetime of brilliance.
I would add Newton and Riemann to the list as well. Come to think of it it's kind of unfair to make such a list, for many reasons. What is harder? Standing on the shoulders of titans and using the knowledge they created to try and solve more and more complex problems that remain unsolved or be an early pioneer?
Euler was undoubtedly a genius but he tried to prove Fermat's theorem and failed. (He proved it for n=3 but couldn't for n>3). Andrew Wiles, a contemporary of ours, proved it. Does that mean Wiles>Euler? I don't think it does, I would bet Wiles himself would dismiss the comparison as ridiculous. He had mathematical tools at his disposal Euler could never have dreamed of. But technically he did succeed where Euler failed, so what do we do with that?
The answer is nothing. We don't make top 10's mathematics is not a pop music chart.
@@momoz74 After the top 2, it gets crowded and hard after that. George Boole probably had as a great an impact as anyone -- transistors and logic gates anyone.
Your compassionate relating of real humans doing amazing things in science is very much appreciated.
This is why we need guaranteed public education, even at college level -- we should not let genius like his be at the mercy of finding a rich person who cares about it.
They may not be at the mercy of finding a rich person but if it was publicly funded they would be at the mercy of crappy education systems that makes students hate math and science. The best alternative is free market alternatives like youtube, briliant and 3blue1brown
Gauss and Euler carried the frontier of Mathematics on their shoulders for
about a century.
What bout Newton and Leibnitz?
Carl Friedrich Gauss, often called the "Prince of Mathematicians," was a true pioneer in science and mathematics. His groundbreaking contributions to number theory, geometry, and analysis laid the foundation for many modern advancements. Beyond mathematics, his work in physics, astronomy, and geodesy showcased his versatility and genius. Gauss's ability to solve complex problems with elegance continues to inspire mathematicians and scientists worldwide. His life is a shining example of how curiosity and intellect can drive humanity forward, leaving an enduring legacy of brilliance and innovation that shapes our world to this day.
He might not have a choice ---- what if he's a slave to mathematics being trapped in numbers constantly quantifying with no escape.
The problem I have with naming people as the "greatest mathematician" is that it does a great disservice to those giants who came before them, those who developed maths from the beginning of thought. Without their work, where would people like Gauss and Euler begin their work?
The title of greatest mathematician should be primarily based on the breath and sheer improvements (aka level and degree of advancements) in direct relation and comparison to previous discoveries. I would think that the discovery of relativity or coming up with a formula for prime numbers when there is little basis to base it off of is greater than proving the Fermat's last theorem when there is much basis for the theorem to start with (still an astounding achievement nonetheless however). Many of Euler's and Gauss's discoveries classify as advancements whose leaps are greater and more innovative than earlier advancements which had careful advancements made before their advancement.
@@Syndiate__ Newton still kinda wins in my book. Calculus is just incredibly powerful. I understand Euler and Gauss contributed more theorems and unlocked many foundational truths, the Gaussian distribution being a big deal, but the power of calculus is unmatched. Nothing like it since the discovery of PI and trigonometry.
With all due respect, the title of Greatest Ever Mathematician thus far should go to Leonhard Euler. Euler worked in almost all areas of mathematics, including geometry, infinitesimal calculus, trigonometry, algebra, and number theory. Besides, he made significant contributions to Physics as well. In many ways, Euler was to Mathematics what Newton was to Mathematics. Gauss was the prince, while Euler was the benevolent Emperor in the Kingdom of Mathematics !
The greatest ever is just a title which is different for person to person , it's very hard to find the objective answer to this , it's like asking who is the most prettiest person who ever lived . There are few great contender to this title and you can argue for any of them . But this argument is kind of pointless because you it have no use and neither can you ever verify your answer to be correct. For example if I ask you which religion is best / which god is best . There is no definite answer to this questions. So you can think who is the greatest mathematicians as same question as this .
@@gaurabdahal2It's very easy to be objective about this. Just count the theorems each mathematician has rigorously proven.
@@gaurabdahal2 " There are few great contender to this title and you can argue for any of them ."
Uhh no. There are only two so far Euler & Gauss. And Euler comes out on the top because his contribution to mathematics. The sheer number of both quantity & quality work Euler has done in Mathematics is mind boggling.
A fun fact: In one of the Mathematicians polls for the most beautiful math equation, 3 out of top 5 were Euler's.
Not to mention that Euler was blind!
how about Ramanujan ?
One of the most amazing contributions of Gauss to science was non-Euclidean geometry.
Non-Euclidean geometry describes spaces with curvature, like the surface of a sphere.
Gauss had the insight that space may be curved, and even conducted experiments to find out.
Einstein much later used non-Euclidean geometry for his theory of General Relativity, which states that gravity is caused by the curvature of space-time.
Gauss's intuition that space may be curved was pure genius!
when just as a normal human as i am , and people tell me about space and time, i just wonder what kind of brain God gave these people. I just wonder...
Bolyai would like a word on that topic
@@dacianbonta2840
My notes show that Gauss was the first to conceive of non-Euclidean geometry, but not the one who developed it.
Gauss was a close friend of the Hungarian mathematician Farkas (Wolfgang) Bolyai, who was also interested in the foundations of geometry and in the parallel axiom.
Farkas' son was Janos Bolyai, one of the founders of non-Euclidean geometry, independently with Nikolai Lobachevsky.
Lobachevsky was influenced by Johann Bartels, who was a former teacher and friend of Gauss.
It's not clear if Lobachevsky was in any way inspired by Gauss' work on non-Euclidean geometry.
But it's clear that Janos Bolyai was inspired by Gauss' work.
@@jerzypawlowski7999 the story on this side of the Hajnal Line is the opposite, Gauss shot down Janos' ideas and his attempt to publish his work. Despondent over being rejected by the perceived authority in the field, Janos abandoned research. Contrast to Cauchy's treatment of Ruffini.
Poor father probably thought it was all magic in Carl’s mind.
I mean the father wasn't super bright. Carl was noticed by very prominent people and he refused to accept that they could offer his boy a better future. And then his son becomes even more successful and the dad is mad at him and never speaks to him again? Or maybe Carl was mad at his dad and refused to speak to him again, who knows.
@@TheSkyFallTronic I know too many people like this, and I think it is representative in significant ways. What is beyond their ability to comprehend DOES NOT exist. The next POTUS is a classic example.
I imagine his father hoped his son would help him in his craft, as was typical at that time.
Gauss was incredible! One thing I learned about his family was that he only has a handful of descendents in Germany but hundreds in America. His son Eugen that he did not think highly of prospered and had many children, grandchildren, etc.
I was wondering about that. Do you know if there were any mathematicians or similar in the lot? I just looked Eugen up in Wikipedia de.wikipedia.org/wiki/Eugen_Gau%C3%9F
I learned Gaussian mathematics and physics in school. In the 1970s, it was pretty basic stuff, but for his time, it was absolutely extraordinary.
0:45 The map of germany looks very different at that time. At that time there wasnt even a thing of what we call "modern-day germany".
Germany as a region did exist though. More as a linguistic and cultural region, that was politically fractionalized but still very much identifiable.
This is simply supposed to show where Braunschweig is in nowadays Germany.
Who are you? This presentation is so well done; so pleasant to listen to your voice, with the music NOT being a distraction. And what a decent person Gauss was!
Thanks!
Wow, thank you so much for your generosity. You’ve made my day!!
I wish I had you as my math professor explaining brilliant mathematicians as the first lesson of the week :D
Was impressed with the adding the numbers from 1 to 100 so quickly.
By how he did it.
And he was only 9
This tale is like the apple and the Newton story, who knows if it's true.
We see numbers, but Gauss saw 3D shapes that represent numbers.
Gauss is what happens when huge talent and opportunity mix while sustained by hard work fueled by genuine passion. Many have the talent but lack opportunity. Others have both but lose passion and burn out. Many have passion but even hard work can't compensate for their lack of natural talent. Gauss just steamrolled through all of these variables.
Gauss was the man of applied math and number theory, Euler was the man analysis, geometry, number theory, topology, combinatorics. I think Euler deserved to be greatest mathematician than gauss
Euler downvoted this video
Euler subsequently changed his mind and upvoted this video once he realized Gauss wasn't going to compete with him or be an adversary during Euler's lifetime, due to their vast age difference.
Makes you think how many geniuses we missed by now
Don't forget Archimedes. He developed the first steps of calculus 2000 years before Newton and Leibnitz. I really like his solutions - I always say it looks like calculus done by aliens.
YES!!!! HE WAS THE GOAT!
Teaching calculus I was struck by Archimedes continuing influence on textbooks. The notorious problem of finding the volume of the perpendicular intersection of two right circular cylinders of the same radius ? The problem is in every calculus textbook I taught out of. Yes, Archimedes solved that problem!
i am loving that people here in comment section are praising guass and euler, not many people appreciate genuises other than newton or einstein.
My most favourite scientists are Isaac Newton, Carl Friedrich Gauss, James Clark Maxwell and Erwin Schrödinger.
9:15 "He didn’t just predict the stars... he became one."
Carl Gauss wasn't just a mathematician; he was a true visionary. When astronomers couldn't find the missing planet Ceres, it was Gauss who cracked the code. His precise calculations led to the planet's reappearance-just as he had predicted. A celebrity mathematician-but the world didn't fully understand his genius yet...
It's so rare and delightful to hear about a hyper genius that also thrived in his personal life. Two very strong marriages and several children. His only bad luck in that arena was bad luck common to all at the time.
why do they always do my
man Euler so dirty?
More on the connection between Gauss and General Relativity.
Gauss directed his student Bernhard Riemann to develop the geometry of curved space. So Riemann developed differential geometry and introduced the curvature tensor.
Einstein later applied Riemann's differential geometry to develop his General Theory of Relativity.
But it wasn't just mere coincidence that Riemann's differential geometry formed the basis of General Relativity. It was by design, because Gauss and Riemann wanted to develop a geometry to describe curved space.
Einstein then realized that a curved space can explain gravity, and that was his genius connection.
IMO Euler is the only other person who could be considered the greatest mathematician to ever live. Gauss and Euler were geniuses
What an absolutely charming story! Of course I knew Gauss from his work but never his actual story! Thank you!
I think it’s hard to pass up giving the title to Euler.
Gauss was Mozart, Euler was Bach
Gauss was next level even by the standards of genius. I knew who this video was about just from the title.
You called Gauss the Prince of mathematics. I did a quick Google for the King. It's Euler.
Makes sense they'd form the King and Prince of maths.
Hope there's good people out there like the Duke who support the gifted
4:44 Are you sure that's the right compass? 😂
I think it is the wrong compass.
The video is AI generated, that’s why. She’s just a narrator and doesn’t even understand the subject matter.
Not true, I'm pretty sure I'm human
Gauss must be rolling in his grave. My bad, so embarassing
@@marcolam5530 i mean no one that hasnt studied math rigorously cant grasp his genius to be fair, this videos just made for the general public
Wow, such a man of integrity and hardworking!
If there was one flaw in Gauss' rich mathematical life, it was that he refused to read Abel's proof for the insolvability theorem of quintic equation and just tossed it to the trash bin. Sadly Abel died too young, if only Gauss was willing to listen to him.
Gauss was an absolutely fantastic mathematician, but I feel like this video gave him credit for a lot of things that weren't discovered by him.
"Cindy Pom is an amazing narrator with a voice and accent that's so clear and easy to understand. The storytelling is captivating, and the editing is absolutely top-notch-it keeps viewers engaged throughout! I love every bit of the content you create. Sending lots of love and support from Pakistan! 💖"
Appreciate your sarcasm
AI slop hahaha
She slurs her words sometimes and it sounds like something completely different. It's apparent in this video at the beginning when she talks about the potatoes and Carl counting them.
No comment
Anyways Remember Jesus loves you so he died for you because he wants to know you❤️Repent and God bless you all
*before you start raging at me saying things like the earth is 4.5 billion years old, Adam and eve and the bible is stupid, I believe the earth is 4.5 billion years old, I believe in Neo-darwinian evolution, and I believe Adam and Eve are the first humans with souls
I dont think the bible is a science textbook, but a historical narrative
Such a sensitive and touching portrayal of C.F. Gauss life. Thank you!
You called Gaus the greatest Mathematician and again, EULER got mentioned cause you can't talk about math anymore without this guy
Make a video on Euler, plz?
Coming up soon
3:01 Man, fifth postulate is a big puzzle for mathematicians at that time before Non-euclidean geometry was born even Gauss knew about that stuff...
Imagine how much harder an ordinary life was back then ... and still people achieved and created incredible ingenious things. No electricity, no modern medicine, death through war, sickness or famine always looming. Incredible. And still people probably had more morals than today.
Carl's parents couldn't afford candles
Your voice is so pleasant to listen to, thank you and I thank GOD He has given such a pretty & peaceful tone.
I was going guess Gauss , but Euler wrote 3/4 of the maths published in the 18th century!
Here is a man who used this God-given abilities to serve his country, and the world. It was a pleasure to learn of him and his genius.
He doesn't just have an ease with numbers and quantities, his conceptual intuition is remarkable.
He doesn't only understand values. He understands problems.
I think one special thing about the past is that when Carl was around, there was less right or wrong. There was a chance to discover
It fills me with sadness to know that I will never be able to give years of my own life to this magnificent man who could have used them more.
You are not any less magnificent person than anyone else brother. You might not be Gauss or Euler, but God probably not even wanted that. He wants you to be you.
@@antaka100 Hahaha.
I remember hearing that Gauss was probably the last mathematician that knew of all known math developed up to the point of his life.
Great video 👍🏻 I would have appreciated a map of Germany from back then
Srinivasa Ramanujan.
He made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematics
and problems then considered unsolvable.
As far as mathematicians go, G.H Hardy from Cambridge gave himself a score of 25, J. E. Littlewood 30, David Hilbert 80 and Ramanujan 100.
G.H Hardy the humble goat
Amazing video!
Could you do something on Andrey Kolmogorov and Robert Langlands? 😅
CG (the prince of mathematics and a king of number theory) was a creative and incomparable genius of pure and applied mathematics. 🖐️🖐️ And he knew numbers especially prime numbers very well... His great conjecture on the distribution of primes that later became the Prime Number Theorem is mind-boggling for which the great Euler could not imagined possible. Go CG! 👍👍
Dude figured out his own birth date. That's incredible!
He was right that it's more about dedication, love of maths and work. Many people could excel at maths but it requires a certain love of numbers.
"I am, somehow, less interested in the weight and convolutions of Einstein’s brain than in the near certainty that people of equal talent have lived and died in cotton fields and sweatshops."
If it wasn't for the Duke, Gauss would have been lost. And like him millions.
It's time to move towards a post-capitalist society.
And replace it with what ?
@@jaygin6518 Solidarity
@@jaygin6518a collectivist ideology/economic system or socially orientated system, one which prioritises the development of a society at all levels and not shareholder profits
What a childish worldview
Your observation and analysis of a portion of the 'human condition', is both true and brilliant.
If Euler knew we'd be posting his picture for eternity, he would have worn a nicer hat.
Now that's what you call a real man!
1.) Contributed a lot to the world , so much that anyone who is a science student or engineer, cannot escape his name.
2.)) Chose his passion over money and made it his profession.
3.)) Loved his wife , and raised a family.
4.) Though things did not turn out to be good with his personal life , he didn't cry about , and focused on producing ground breaking works .
Euler and Gauss always been my hero in math
That 5050 story probably isn't true, because the original source isn't even remotely trustworthy.
I felt the same thing about his mom not knowing what was after 6. 😂 I think this video has sketchy info mixed with facts.
I find it hard to believe that the date of Easter in 1777 was some kind of mystery he had to solve, rather than something he could easily look up.
@@philblandford5560 He was dirt poor, where exactly could he have looked it up? He couldn't afford any books detailing the days of holidays in a certain year
Mathologer says about this that no method appears in the early story. But discovering a general method is what would make this a cool story. ???
Did Gauss just add really fast? Did it never happen?
IAC, a formula goes back at least to the ancient Greeks, as triangular numbers.
@@a.hardin620 For whatever reason, German, like English, has special names for numbers up to twelve. I can't think why to stop at six. Twelve maybe.
So the benevolence of one duke (and the insane luck of meeting him) made Gauss’ career possible. Just like UBI would more equitably do, for the rest of us.
Can you please make a video of Georg Cantor?
WOW.......This video is truly fascinating. This is the best and one of the most informative videos I have ever seen on RUclips....as a result, I have subscribed....Big Giant Thumbs up for this video. Thanks for making more knowledgeable.
Good lord, the way he thought to find the sum of all numbers from 1-100 at ten years old is incredible.
In my twilight years and it still hadn't ocurred to me! 😂
From the land of Ramanujan 😊 I'm saying, every mathematician is great , they all are great ❤
The greatest mathematician was, perhaps, Euler.
I never miss your videos...
Brilliant work you're doing!!
One day you will make video on me as greatest theoretical physicist❤
I must say Gauss is the God of Mathematics.....The simplicity of his Mathematical ideas is unprecedented.
@4:45 This isn't the compass you're looking for.
what was the compass? they had edited to blur it out.
@@aviraj4587 Aaaaaa ahahahahahaa, you're right, they did edit it--they just blurred it out like a blob. How pathetic. Yeah, it was a magnetic compass--like the one you use for orientation to tell you which was is North, round with a magnetic needle. Dude, that's hilarious.
I like the earnestness and honesty of his love letters...
Oh good, I didn’t quite feel dumb enough today.
Incredible story though! Genius got him started but perseverance seems to be the real story here.
He is one of the three Greatest Mathematicians. A prince in the shadow and on the shoulders of the Giants Archimedes and Newton.
Gauss is the person you read about whenever you want to feel bad about yourself.
Gauss was truly Brilliant. Great documentary.
4:44 proves the video and the script is nothing but AI generated. Unsubscribed. Nothing more than a narrator who doesn’t even understand the subject matter.
yes, I remember learning about Gaussian elimination in matrices back in college, Gauss Jordan, Gauss Jacobi etc. sadly, I can’t even remember what they’re about anymore 😂 but I do remember how excited I was back then.
4:49 I am pretty sure Gauss would have some trouble using this compass to draw any poligon
Lol, he's so smart though he'd probably make it work (total brain fart on my part)
@@Newsthinkthe compass
Awesome video. Thank you for shining a light on these brilliant minds.
Imagine your father that you looked up to telling you that you’re not smart enough to do what he does 😢😢 that would break most people
I remember that when I went to UC Davis, the Math department held a week long public celebration for Gauss's 200th birthday
greatest math mathematician was Al-Khwarizmi
Not really
Thank you for that story, i also discovered when i was studying in Göttingen- Visiting all the pictures you showed , i got a backlash to my times of studying there. I admired Gauss , looked it all up and even the house, he lived in. The street was later named after him Gaussstrasse. Also, i knew and recognized the points, where he did his triangulations.You have found and shown the right pictures of the small hills, Lower Saxony ( as the former Kingdom of Hannover) is now called, has to offer for that. In the flat marschlands, near the North Sea, he used church towers. The old Observatory is still standing and in use, offers lectures for visitors. Göttingen was and still is such a famous science place and also home to the last universal scientist and genius Gottfied Wilhelm Leibnitz. I don't know, how many Nobel Prices went to Göttingen, but there are quite a few, namely in physics. Windtunnels and the groundbreaking facts of aerodynamics were also founded there. I was fascinated and changed my studying to math, physics, and philosophy there.
Excellent presentation. Had never heard of Gauss until this. Thank you.
Wow what a beautiful story. Due to my frequent Senior moments, I can barely do single digit additions. 🙂
1:25 The actual calculation he probably used was (1+99=100, 2+98=100, 3+97=100, etc.) x 49 = 4900. To which he then added the 100 and the 50 which quickly gives a total of 5050. Probably all done in his head, no pen and paper needed. He was about 7 y.o.
Great video. I sent it to my grandsons.
See , how beautiful the maths is..😭😭
Please also make a video on Bernhard Riemann, whose mathematics helped Einstein to develop his general relativity.🎉🎉
What a marvelous genius he was!