Greatest Mathematicians and their Discoveries - Part 1
Vložit
- čas přidán 16. 06. 2024
- You will see some of the famous and greatest mathematicians from 500 BC to 21st century.
Timestamps:
0:00 Pythagoras
0:19 Euclid
0:38 Archimedes
0:54 Leonardo Fibonacci
1:12 Rene Descartes
1:32 Blaise Pascal
1:54 Isaac Newton
2:15 Gottfried Wihelm Leibniz
2:37 Benjamin Banneker
2:58 Carl Friedrich Gauss
3:22 Sophie Germain
3:41 Augustin Louis Cauchy
3:59 Niels Henrik Abel
4:19 William Rowan
4:40 Evariste Galois
5:00 George Boole
5:20 Arthur Cayley
5:36 Bernhard Riemann
6:01 Felix Klein
6:21 Sophie Kowalevski
6:43 Henri Poincare
6:59 David Hilbert
7:18 G.H Hardy
7:37 Emmy Noether
7:54 Niels Bohr
8:12 Srinivasa Ramanujan
8:29 Carl Ludwig Siegel
8:45 Emil Artin
8:59 Mary Cartwright
9:13 Andrey Kolmogorov
9:30 John von Neumann
9:44 Stanisław Ulam
9:57 Alan Turing
10:14 Paul Erdos
10:31 Frederick Mosteller
10:45 Richard Feynman
11:09 Benoit Mandelbrot
11:24 Nancy Grace Roman
11:39 Jean Pierre Serre
11:55 Alexander Grothendieck
12:17 John Forbes Nash Jr.
12:37 Gordon Bell
12:53 John Horton Conway
13:11 Stephen Cook
13:33 Grigory Margulis
13:53 William Thurston
14:09 Edward Witten
14:25 Grigory Perelman
14:41 Terence Tao
15:02 Maryam Mirzakhani
Other videos:
Part 2: • Greatest Mathematician...
• Greatest Math Theories...
- DISCLAIMER -
This video is intended for entertainment and educational purposes only. It should not be your sole source of information. Some details may be oversimplified or inaccurate. My goal is to spark your curiosity and encourage you to conduct your own research on these topics.
Part 2: czcams.com/video/21iE2XQ9gAU/video.html
Maybe add "part 1" to title, to avoid confusion?
🧐
f
Where is Euler dude. Its disrespectful to omit people like Leonahard Euler, J Fourier, Cantor, Laplace, Lagrange, Liouville and then title your video greatest mathematicians.
Schwarz, Caratheodory, Banach, Lovelace, Russel, Fermat...
Yeah and that Euler guy who is arguably the most influencial mathematician ever...
Yea sir ramanujun too
part 2
Ramanujan?
Also, Sophus Lie, he mentions Lie Groups but mispronounces Lie like lie instead of lee
List is incomplete without Fourier, Euler, Bernoulli brothers.
Yup - Fourier transforms is the most important algorithms used by mankind. If you are watching this on a computer - then you are running Fourier transforms.
L Euler - The greatest of them all...
I think we're missing many many other's such as Godel (perhaps he's a philosopher) and Lagrange...
Especially Euler.
they are in part 2: czcams.com/video/21iE2XQ9gAU/video.html
prolly their physicists
It was a good video, but I don't know how physicists like Bohr and Feynman made it in here but not Euler or any of the Bernoullis'.
These top 10 lists are always biased
@@vikraal6974yes
There is a part 2
It is hard to give a balanced overview. I fear that ancient Egyptian, Sumerian, Indian and Chinese contributions are underrepresented.
I think same if you look at ancient Egypt, sumerian, ancient India and China you can easily found that all are very good in mathematics and science.
Old Babylonian Period (circa 1900-1600 BCE):
The evidence of Babylonian knowledge of the Pythagorean theorem comes primarily from clay tablets written in cuneiform script. These tablets contain mathematical problems and their solutions.
The most famous tablet is Plimpton 322, which dates to around 1800 BCE. This tablet lists several sets of numbers that satisfy the Pythagorean relationship (a^2 + b^2 = c^2), indicating that the Babylonians were aware of these relationships and could generate Pythagorean triples.
Plimpton 322:
This clay tablet contains a table of numbers written in base 60 (sexagesimal) that are now understood to be Pythagorean triples.
The tablet consists of 15 rows and 4 columns. The first three columns are thought to represent lengths of the sides of right triangles. The fourth column may be an index or another variable related to the entries.
Scholars believe the Babylonians used these triples for practical purposes, such as construction and land measurement.
Mathematical Techniques:
Babylonian mathematics was heavily arithmetic-based. They used algebraic methods to solve geometric problems, and their approach was highly procedural, involving step-by-step instructions.
They did not necessarily abstractly formulate mathematical theorems as Greeks later did, but their work clearly shows an understanding of the principles underlying the Pythagorean theorem.
While the Babylonians did not leave theoretical proofs in the style of Greek mathematics, their practical knowledge and the mathematical records they left behind provide strong evidence that they understood the Pythagorean relationship well before Pythagoras. This ancient knowledge was likely passed down and influenced later Greek mathematicians.
Another example India:
Sulba Sutras (circa 800-500 BCE):
The Sulba Sutras are a collection of ancient Indian texts that provide guidelines for constructing altars and other structures for Vedic rituals. These texts contain several mathematical principles, including those related to geometry.
The most notable Sulba Sutras that reference principles similar to the Pythagorean theorem are the ones attributed to Baudhayana, Apastamba, and Katyayana.
Baudhayana Sulba Sutra:
The Baudhayana Sulba Sutra, believed to date back to around 800 BCE, explicitly states a version of the Pythagorean theorem. It describes that a rope stretched across the diagonal of a rectangle creates an area equal to the sum of the areas on the sides.
A specific passage from the Baudhayana Sulba Sutra (1.12) states: "The diagonal of a rectangle produces by itself the same area as produced by the two sides.
Apastamba Sulba Sutra:
The Apastamba Sulba Sutra also contains references to geometric principles that include versions of the Pythagorean theorem.
It includes methods for constructing right angles and describes properties of triangles and other geometric shapes.
Practical Applications:
Like the Babylonians, Indian mathematicians applied these geometric principles in practical ways, particularly in the construction of altars and other religious structures. Their work was primarily driven by ritualistic needs but demonstrated a deep understanding of mathematical concepts.
Geometric and Algebraic Techniques:
The Sulba Sutras use a combination of geometric and algebraic techniques to solve problems related to lengths, areas, and volumes.
They provide procedures for creating right angles, doubling the square, and other geometric constructions that rely on the properties of right triangles.
The knowledge and use of the Pythagorean theorem by ancient Indian mathematicians show that this geometric principle was independently discovered and applied in different cultures long before Pythagoras's time. The contributions from the Sulba Sutras highlight the sophisticated understanding of geometry in ancient India.
Bro, where the fuck is Leonhard Euler???
Part 2
Pythagoras did not discover the Pythagorean theorem. It was already well known before his time, he was just the first one to prove it.
Came here to say just that...almost. The indians had a rather nice proof prior to Pythagorus. But P. did come up with his own proof as well which has some nice features to it.
P. did do a lot of extremely clever things, but wasn't the first to prove the theorem named after him.
If you haven't proved it, you haven't discovered it.
Bros missing arguably the greatest mathematician of all time Euler 💀💀💀💀. How are you casually gonna forget about the guy who founded graph theory, made the natural log base or Euler’s number,euler’s identity, and published over 800+ scientific papers in his lifetime
He is in part 2
@@ThoughtThrill365 Oh, I see. My apologies
@@ThoughtThrill365Bur he should be in part 1
I just wonder
HOW ON EARTH DID YOU MISS LEONARD EULER?
Just howwwwwwwww? 🤯
Sir, he is in part 2
Aryabhatta, Fourier, Euler, Bernoulli: We guess we don't exist
they are in part 2
Skipping Euler's a bold move.
I would have liked to have seen Wiles in there.
"Read Euler,he is the master of us all!"
- Pierre Simon Marquis de Laplace
I rest my case.....🤔
Euler and ramunjuian should be above all
Bro. You included the “prince of mathematics,” but left out the king, literally the greatest mathematician of all time (we all know who I’m talking about). What about Fourier, Lagrange, Cantor, Al-Khwarizmi, Wiles, Lobachevsky, the Bernoulli’s, et cetera.
They are in part 2
@@ThoughtThrill365 Ok, I can breathe now. Thx for letting me know.
brotato how could you miss Euler...don't give me that part 2 nonsense. He should be in PART ONE
I really like the video, but it is more of a physics list. People like euler, weierstrass,... Are missing. All the people are crazy smart but mainly physicists
Modern technology is not possible without Laplace and Fourier. They are the GOATs of signals and systems, which our world operates on at the foundational level. Respek.
Shrinivash Ramanujan
David Hilbert
Kurt Gödel
Pierre de fermat
Alfred North Whitehead
John Conway
Andew Weil
I was surprised not to see Euler.
Check Part 2
Any list without Gödel is incomplete.
Haha! I got it :)
pun
This was a Nice primer for beginners (like me).. Thanks for this!
You're so welcome!
Where is Euler
part 2
@@ThoughtThrill365 euler deserved to be in part 1 he was the greatest mathematician of all time
Great video. I would only add Artur Ávila. He is an outstanding Brazilian mathematician. He made significant contributions to dynamical systems theory, and his work has been recognized with numerous prestigious awards, including the Fields Medal in 2014, which is considered the highest honor in mathematics.
no Euler, no Lagrange, no Godel...
No Euler is a crime.
they are in part 2
No Ramanujan
@@yushpiHe is in the list lol watch properly
I can’t imagine the number of women who were deprived of a chance to contribute to science due to the discrimination system that was used throughout human history against them .
how about Euclid, Euler - the actual king of mathematics - and Maxwell and Einstein if you are going to mention Feynman.
For part 2, would be great to see Kurt Gödel for Incompleteness Theorem, and Fermat.
Euler??
part 2
Quite good. But for the ones who want the complete list here you are.
Pythagoras 🇬🇷, Euclid 🇬🇷, Archimedes 🇬🇷,
Apollonius 🇬🇷 Diophantus 🇬🇷, Aryabhata 🇮🇳, Brahmagupta 🇮🇳, Al-khwarizmi 🇮🇷-🇺🇿, Fibonacci 🇮🇹, Oresme 🇫🇷, Sangamagrama 🇮🇳, Tartaglia 🇮🇹, Cardano 🇮🇹, Bombelli 🇮🇹, Vieta 🇫🇷 Desargues 🇫🇷, Descartes 🇫🇷, Cavalieri 🇮🇹, Fermat 🇫🇷, Wallis 🇬🇧, Newton 🇬🇧, Leibniz 🇩🇪, Bernoulli 🇨🇭, Taylor 🇬🇧, Lambert 🇨🇭, Euler 🇨🇭, Lagrange 🇮🇹, Lobacevskij 🇷🇺, Bolyai 🇭🇺, Gauss 🇩🇪, Cauchy 🇫🇷, Fourier 🇫🇷, Abel 🇳🇴, Galois 🇫🇷, Hamilton 🇬🇧, Kummer 🇩🇪, Grassmann 🇩🇪, Riemann 🇩🇪, Cayley 🇬🇧, Weierstrass 🇩🇪, Beltrami 🇮🇹, Boole 🇬🇧, Betti 🇮🇹, Klein 🇩🇪, Segre 🇮🇹, Veronese 🇮🇹, Tait 🇬🇧, Fano 🇮🇹, Levi-Civita 🇮🇹, Peano 🇮🇹, Cantor 🇷🇺-🇩🇰, Poincaré 🇫🇷, Hadamard 🇫🇷, Enriques 🇮🇹, Lie 🇳🇴, Hilbert 🇩🇪, Cartan 🇫🇷, Curbastro 🇮🇹, Frobenius 🇩🇪, Fréchet 🇫🇷, Veblen 🇺🇸, Hausdorff 🇩🇪, Luzin 🇷🇺, Ramanujan 🇮🇳, Suslin 🇷🇺, Skolem 🇳🇴, Noether 🇩🇪,Tikhonov 🇷🇺, Volterra 🇮🇹, Hasse 🇩🇪, Von neumann 🇭🇺, Gödel 🇦🇹, De Rham 🇨🇭, Severi 🇮🇹, Banach 🇵🇱, Kolmogorov 🇷🇺, Pontryagin 🇷🇺, Coxeter 🇬🇧, Krull 🇩🇪, Breuer 🇩🇪, Ore 🇳🇴, Whitney 🇺🇸, Turing 🇬🇧, Bernays 🇨🇭, Alonzo church-Kleene 🇺🇸, Alexandrov 🇷🇺 Tarski 🇵🇱, Eilenberg 🇵🇱, McLane 🇺🇸, Zariski 🇷🇺, Leray 🇫🇷, Postnikov 🇷🇺, Hodge 🇬🇧, Weil 🇫🇷, Gelfand 🇷🇺, Mal'cev 🇷🇺, Segre 🇮🇹, Thom 🇫🇷, Taniyama 🇯🇵, Erdős 🇭🇺, Iwasawa 🇯🇵, Artin 🇦🇲, Quine 🇺🇸, Birkhoff 🇺🇸, Lurie 🇺🇸, Artin 🇩🇪, Selberg 🇳🇴, Nash 🇺🇸, Serre 🇫🇷, Bombieri 🇮🇹, Milnor 🇺🇸, Grothendieck, Chern 🇨🇳, Atiyah 🇬🇧, Conway 🇬🇧, Quillen 🇺🇸, Deligne 🇧🇪, Connes 🇫🇷, Hamilton 🇺🇸, Thurston 🇺🇸, Freedman 🇺🇸, Sullivan 🇺🇸, Falting 🇩🇪, Wiles 🇬🇧, Tate 🇺🇸, Kostevych 🇷🇺, Perelman 🇷🇺, Fesenko 🇷🇺, Drinfeld 🇺🇦, Scholtze 🇩🇪, Gromov 🇷🇺, Langland 🇨🇦, Tao 🇦🇺,
Woww
Wrong😂 where are many fake Indian name and Indian flag come from 😂 except Ramanujan 😂
Funny how all of the comments complain about Euler, but not one voice for Euclid?
bro had a diversity quota for this video
Al Khawarizmi would probably come on the top. He invented Algebra but even the famous word of Algorithm comes from his name. See, when Europe was in Dark Age, the middle East & near Asia were shining with top world knowledge like Chemistry, Physics etc., so how could you publicize Greece then?
Without the foundation of Arabic numerals & Algebra, you wouldn't have much Math later.
Just put the word (Some) at the beginning of the title, and many complaints in the comments vanish.
where is euler
Part 2
Why is Hilbert also in Part 4?
How could you miss Euler, the best mathematician all of time....
check part 2
I like how there is a whole bunch of people who would rather just write bad comments making fun of who you missed (which you have in the next part). They are such pathetic people, you can just go look up Euler yourselves idiots, this is an excellent video which not a single one of these haters would spend a second to even think about making, this is very informative, and makes sense that there is a part two, thank you, and excellent video, deserves a subscription.
WTF is Bohr doing here?
Same with Gordon Bell.
You can't stick Benjamin Banneker among Gauss, Euler and Cauchy just because you need some "diversity."
Same with two of the women: Germain was somewhat like Agnesi meaning that most of "her" work was small developments on or rewritings of the work of male authors. Weierstrass' mistress Sophie Kowalevski achieved more and did scholarly mathematics however, it's unclear how much was her own given her proximity to Weierstrass, the most famous and influential mathematician of his time, who supported her career due to her affair with him (behind her husband's back).
Agree. Especially when he didn't even mention Euler at all.
Agreed for Banneker, but Germain's work really is astounding
Many of these mathematicians are standing on the shoulders of giants - Most notably, IMHO, Al-Khwarizmi
🩷🩷🩷 Euclid!!
Lists like this one are always incomplete and subjective.
Ramanujan
Without Fourier ? Really ?
Didn't mention that Turing was murdered by the british government. Let's just say that might have had a profound impact on his ability to work.
How about fermat?
It's said that newton discoverd calculs 10 years before libenz is it true ?
Al kwharizmi????? Omar khayam?????
Part 2
Where is Eratothsenes?
check part 2
what a great video
List of the greatest mathematicians with no Euler?
Just like the list of the greatest footballers with no Pele?
I feel like Ibn Sidna should be here
And Godel
Euler the best with Fourier, Laplace.....
No Euler
part 2
Where are Euler, Al Khawarizmi, Fermat, Fourier, Paul Dirac, just to name a very few conspicuously missing?
If part 2, include Eilenberg, MacLane, Kan, Yoneda, Quillen... And more modern, Lurie
"Greatest mathematicians and their discoveries", but the one dude universally acclaimed as the best mathematician ever is not in there... Not even mentionning others who are also missing... :-(
Nice video apart from those 2 (huge) misses though.
They are in part 2
well done !
I hold a masters degree in math but never heard of some of these people. Banneker ? What exactly is his contribution, besides being black ? Wikipedia: A substantial mythology exaggerating Banneker's accomplishments has developed during the two centuries that have elapsed since his death, becoming a part of African-American culture.
Sloppy story telling. Pythagoras didn't discover the theory named after him, and Euclid used much of the work of other mathematicians who came before him in his work.
Please learn to prononce Lie in Lie Groups, it down grades an otherwise fine presentation if it's pronounced incorrectly. Especially since Lie groups is central concept.
Where aryabhatta? He literally invented the modern number system.
Part 2
@3:41 "kawchee" aight im out
wow, where's Laplace?
Part 2
Pythagoras got it from Egypt, he did not originate the Pythagoras theorem. Greek Mathematics was taken from Egypt. Herodotus and other Greek Historians said they got everything from Africa, Kemet/Egypt.
Egypt and Mesopotamia. Not just Egypt.
Where is Aryabhata and Ramanujan?
You could forget Newton but not Euler.
exp(i pi) +1=0 😢
Dude where Francis Allotey. Allotey formalism
it's Lie, not lie groups... the pronunciation is different
Anatol Rapoport?
Ramanujan???
Haha is this a joke? Where is Euler?
part 2
Where is Paul Dirac ?!?
If you mention astronomers, why don't you mention biologists or art historians? Or other non-mathematicians?
Bro forgot euler💀
check part 2
Where is Terrence Howard?
No one ancient Indian mathematician, ooof
Also physics that you mentioned, are not the mathematicians
cry about it indian
I agree with your point but he has mentioned Srinivasa Ramanujan
The ancient ones didn’t contribute much. Ramanujan, on the other hand, was huuuge!
Its crazy - but people are being included who shouldn't be in this list at the expense of some real geniuses (eg Euler)!! And all for the sake of political correctness!
Having said that, Noether was/is really influential and underestimated - as I found in my Theoretical Physics MSc.
nice nice
Thanks
What are “Lie” groups as in telling lies?!?!
Bro you missed the father of algebra!!!!
Al Khawarizmi
Great video btw👏
Next time!
i mean he just gathered algebra knowledge from various source and put them accordingly
please dont forgot euler and alexander grotendek@@ThoughtThrill365
@@user-bs6ft5ye5z So did Euclid, and he's in. So don't panic.
did you make this video just to insert the woman? ahaha
Lo hizo para meter a un afroamericano que nunca menciono que hizo por la matemática.
what about your father Alkhwarizm (algorithim) a renowned muslim mathematician of all time .
We can only dream of what ramanujan could have accomplished if he had a good formal training in mathematics...
and a healthy body .
Indian guy detected
Same goes to other mathematicians...😊
I think it would have killed all the good math in him. The real tragedy is that he didn't live longer.
More importantly, if he had lived longer. Just a decade more would have meant miracles.
❤❤
Let’s make a list of the best composers all time and don’t include J.S. Bach.
Well, where is Euler????
Maryam Mirzakhani
No Georg Cantor is understandable, but no Euler.... hello???
they are in part 2
They were not greeks
TAO
Bro there is no arabic mathematicien!!!!! Even Khawarzmi!!!! Bro that's so unfair
Check part 2
You missed the greatest mathematician of all time - Donald Trump's accountant! What's-his-name is a miracle worker!
No indian mathematician?
Ramanujan is mentioned. He was one of the greatest ever - and the fact he was Indian is as irrelevant as the fact that Euler was Greek and Gauss was German.
este video es horrible ademas no se por que metió a un afroamericano que nunca explico que hizo por las matematicas.
It appears that there were no mathematicians outside Europe and North America .
UTTER NONSENSE .
Dude where is Maxwell? Should be also included together with Laplace, Fourier, Lagrange, Euler, Thales, Kopernicus, Lobachevsky, Markov (Stichastics), I must have omitted more.
Good and genuine list ❤
Thank you 🙌
Nice try with your DEI candidate Benjamin Banneker. Not only was he not a mathematician, but he didn't do anything but copy other people's work that you don't give credit for. The mechanical clock was invented sometime in the 1200's.The development of accurate mechanical clocks continued over time, with innovations like pendulum clocks by Christian Huygens in the 17th century, which achieved remarkable accuracy for their time. The almanac is just as old. Its earliest documented use in Latin dates back to 1267, where Roger Bacon used it to describe tables detailing heavenly body movements. So, keep your leftist views out of any presentation of true geniuses.
no Andrew Wiles oof
underrated