Hello everyone - this video is on the "Top 10 Greatest Mathematicians of all time!"
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0:00 - Intro
0:11 - Number 10
1:12 - Number 9
2:05 - Number 8
2:48 - Number 7
4:10 - Number 6
4:51 - Number 5
5:20 - Number 4
5:47 - Number 3
7:02 - Number 2
8:01 - Number 1
8:58 - Honourable Mentions "30 Near Misses"
10:13 - 100 Other Honourable Mentions in Chronological Order
11:17 - Ending

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

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