Top 10 Greatest Mathematicians to Ever Live!

Hello everyone - this video is my personal ranking of the 10 greatest mathematicians of all time. I based this ranking on how significant the discoveries were and the number of discoveries made.

0:00 - Intro
0:09 - Number 10
0:55 - Number 9
1:25 - Number 8
2:09 - Number 7
2:53 - Number 6
3:33 - Number 5
4:23 - Number 4
5:18 - Number 3
6:19 - Number 2
7:55 - Number 1
9:09 - Honourable mentions

This video features the following mathematicians:
Sir Isaac Newton, Pierre-Simon Laplace, Leonardo Bigollo Pisano, Gerolamo Cardano, Andrew Wiles, Euclid, Emmy Noether, Srinivasa Ramanujan, Grigori Perelman, Blaise Pascal, Archimedes, René Descartes, Carl Friedrich Gauss,
Aryabhata, Joseph-Louis Lagrange, Évariste Galois, Georg Cantor, Alan Turing, Hypatia, Leonhard Euler, Henri Poincaré, Wilhelm Leibniz , David Hilbert, Paul Erdős, Pierre de Fermat, Terence Tao, Pythagoras and G. F. Bernhard Riemann.

Unfortunately, only 10 of them can be ranked the result will go under the “Honourable Mentions” section at the end of the video.

It was very hard to decide the top 2!

All of the following areas were advanced thanks to all the mathematicians I mentioned and didn’t mention.

General/foundations: General (Includes topics such as recreational mathematics, philosophy of mathematics and mathematical modelling), history and biography, Mathematical logic and foundations, including model theory, computability theory, set theory, proof theory, and algebraic logic

Discrete mathematics/algebra: Combinatorics, Order theory, General algebraic systems, Number theory, Field theory and polynomials, Commutative rings and algebras, Algebraic geometry, Linear and multilinear algebra; matrix theory, Associative rings and associative algebras, Non-associative rings and non-associative algebras, Category theory; homological algebra, K-theory, Group theory and generalizations, Topological groups, Lie groups and analysis upon them

Analysis: Real functions, including derivatives and integrals, Measure and integration, Complex functions, including approximation theory in the complex domain, Potential theory, Several complex variables and analytic spaces, Special functions, Ordinary differential equations, Partial differential equations, Dynamical systems and ergodic theory, Difference equations and functional equations, Sequences, series, summability, Approximations and expansions, Harmonic analysis, including Fourier analysis, Fourier transforms, trigonometric approximation, trigonometric interpolation, and orthogonal functions, Abstract harmonic analysis, Integral transforms, operational calculus, Integral equations, Functional analysis, including infinite-dimensional holomorphy, integral transforms in distribution spaces, Operator theory, Calculus of variations and optimal control; optimization (including geometric integration theory)

Geometry and topology: Geometry, convex geometry and discrete geometry, Differential geometry, General topology, Algebraic topology, Manifolds, Global analysis, analysis on manifolds (including infinite-dimensional holomorphy)

Applied mathematics / other: Probability theory, stochastic processes, Statistics, Numerical analysis, Computer science, Mechanics (including particle mechanics), Mechanics of deformable solids, Fluid mechanics, Optics, electromagnetic theory, Classical thermodynamics, heat transfer, Quantum theory, Statistical mechanics, the structure of matter, Relativity and gravitational theory, including relativistic mechanics, Astronomy and astrophysics, Geophysics, Operations research, mathematical programming, Game theory, economics, social and behavioural sciences, Biology and other natural sciences, Systems theory; control, including optimal control, Information and communication, circuits and Mathematics education

Euler introduced much of the mathematical terminology and notation that are still in use today, especially in mathematical analysis. One of these systems was mathematical function. He is also widely remembered for his contributions to mechanics, fluid dynamics, optics, astronomy, and music.

Carl Friedrich Gauss, original name Johann Friedrich Carl Gauss, (born April 30, 1777, Brunswick [Germany]—died February 23, 1855, Göttingen, Hanover), German mathematician, generally regarded as one of the greatest mathematicians of all time for his contributions to number theory, geometry, probability theory, geodesy, planetary astronomy, the theory of functions, and potential theory (including electromagnetism).

Ramanujan and G H Hardy

#top10greatestmathematician
#top10greatestmathematiciansintheworld
#mathematician
#greatestmathematicians
#top10greatestmathematiciansofalltime

I really hope you enjoyed the video!
Please consider giving a Like!
Please consider subscribing to this channel!
Also please drop your comments below! Love to hear your feedback!
Thank You All For Watching!

[RealLifeTops]

Here is the Updated Version of This Video

It covers 141 mathematicians in total!
Hope you guys enjoy it 😊
Have a great day ❤️

[TIOS]

I would definitely include Kurt Godel at least in the honorable mentions.

[torbjrnlund]

Also should be mentioned: Niels Henrik Abel; (5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering contributions in a variety of fields. His most famous single result is the first complete proof demonstrating the impossibility of solving the general quintic equation in radicals. This question was one of the outstanding open problems of his day, and had been unresolved for over 250 years. He was also an innovator in the field of elliptic functions, discoverer of Abelian functions. He made his discoveries while living in poverty and died at the age of 26 from tuberculosis.

[MathSolvingChannel]

In that honorable list, didn't find Cauchy, Fourier, Abel, Poisson, Bernoulli...

[younglee]

Most professional mathematicians would rate Gauss above Euler for the depth and influence of his work, although Euler published far more. I agree 100% with Riemann being at number 3.
But Hilbert and Poincare should be in the top 10 for sure.

[zyltch]

What about the great John von Neumann? A real super-intellect.

[arthur_p_dent]

Ramanujan over Newton, Fermat, Euclid, Descartes, and Leibniz??

Well, every ranking is subjective I guess.

[cisobarbosa]

I have an issue with this not mentioning a single Arab mathematician.

Hard to do a top 10 and not mention Al-Khwarizmi’s Algebra

[ericvosselmans]

There are 100's of mathematicians that belong on a top 10.

[ciervosediento]

Ramanujan y Galois murieron muy jóvenes; si hubiesen vivido más años, habrían descubierto y demostrado muchas más cosas.

[pedrofigueiredo]

The honorable list might also include Fourier, Liouville, Lagrange, Moivre, Hardy, the Bernoullis, Ada Lovelace, Sonia Kovalevsky. Amalie Noether was her real name, Emmy for friends.

[arindamchakraborty]

It is difficult to rank mathematicians considering all perspectives but much of this video is agreeable. Some names who should deserve a mention are Cauchy, Grothendieck, Abel, Jacobi. In fact, there are others too. But these four can compete for a place in the top ten.

But nice going through it.

[MathSolvingChannel]

typo: 9:30 Hilbert was born 1862 (not 1826, otherwise he would be 117 years old :)

[jacoboribilik]

I would have left out Cardano and included Kolmogorov. The man literally brought probability theory into existence.

[sameermansour]

Great job sir !! but where is ALKHAWAREZMI ; the great mathmematician who first one discovered the assence of ALGEBRA and solve the equations with defernt degree, and established ALGHORITHMS - the basics of programing and coding sience today -

[willythefree]

Khayyam has been overlooked. He was the father of algebra and analytical geometry. He designed the Jalali calendar which is more accurate than the current calendar we are using.

[fredloos]

To give you an idea of how different it was to be a kid in California in the 60s, I was taught that story about Freddy Gauss adding up the numbers as a kid in my 7th grade math class. Not sure if the kids today get that kind of exposure to one of the greatest ever.

[nosnibor]

I trained as an engineer and recognise nearly all of them from my student days.

[gavintillman]

It’s very subjective, we all have our own lists, there are several absent on that list that could arguably be present, but I’m going to single out one in particular who would definitely be in my top 3: Cauchy. I do wonder how far up the list Galois may have come if he hadn’t tragically been killed at 20.

[jppagetoo]

All of them are worthy of inclusion in the list. Euler... yeah, he was everywhere. His imprint is wide and deep. My own personal favorite is Ramanujan. His work is astonishing. Unlike the others his work seemed to come from nowhere. He seemed to tap into a deeper truth of the universe. Yes, others dabbled in those areas of math, but none got his results. We are still unravelling his work all these years later. BTW: I am not claiming he was the best, just that he is my favorite.