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Hello everyone - this video is my personal ranking of the Top 10 Most Influential Ancient Mathematicians of all time. I based this ranking on how significant the discoveries were and the number of discoveries made.

I didn't include the mathematicians born after 600 AD!!! As this video is on ancient mathematicians!

Please check out my other channel linked here:    / @aiattanayake  

Timecodes
0:00 - Introduction
0:07 - Number 10
0:41 - Number 9
1:16 - Number 8
1:51 - Number 7
2:16 - Number 6
2:51 - Number 5
3:31 - Number 4
3:56 - Number 3
4:37 - Number 2
5:24 - Number 1
6:04 - "Honourable Mentions"
9:32 -Ending

This video features the following mathematicians:
Archimedes, Euclid, Aryabhata, Pythagoras, Brahmagupta, Zhang Heng, Hipparchus, Apollonius of Perga, Diophantus, Thales of Miletus, Archytas, Theodorus of Cyrene, Liu Hui, Pappus of Alexandria, Eratosthenes, Hypatia, Aristotle, Democritus, Ptolemy, Hero of Alexandria, Zeno of Elea, Aristarchus of Samos, Oenopides, Plato, Eudoxus of Cnidus, Pingala,
Zu Chongzhi, Hippasus, Theon of Smyrna, Theon of Alexandria, Liu Xin (scholar), Nicomachus, Thymaridas, Hippias of Elis, Xenocrates, Kātyāyana, Eutocius of Ascalon, Geminus, Anaxagoras, Marinus of Neapolis, Menelaus of Alexandria, Serenus of Antinoöpolis, Polyaenus of Lampsacus, Theaetetus of Athens, Liu Hong (astronomer), Cai Yong, Wang Fan, Hippocrates of Chios, Zu Gengzhi and Ahmes

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

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)


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