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10 Views · 11 days ago

The documentary film "History of Mathematics" takes viewers on a fascinating journey through time to explore the evolution of mathematics in various civilizations. From ancient Egypt and Mesopotamia to Greece, China, India, and the Middle East, the film highlights the contributions of prominent mathematicians and their impact on the field.

The film delves into the use of decimal systems, the invention of the number zero and the concept of infinity, the creation of algebra, and the spread of Eastern knowledge to the West. With a combination of historical footage, expert interviews, and breathtaking visuals, this documentary brings to life the rich history of mathematics and its role in shaping the world we live in today..

1:20 - Mathematics in Egypt
19:30 - Mathematics in Mesopotamia
35:21 - Mathematics in Greece
54:21 - Mathematics in China
1:10:08 - Mathematics in India
1:35:36 - Mathematics in Europe

#mathematics #math #history #documentary

6 Views · 21 days ago

Quanta Magazine’s mathematics coverage in 2023 included landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery.

Read about more math breakthroughs from this year at Quanta Magazine:

00:05 Ramsey Numbers
One of the biggest mathematical discoveries of the past year was in graph theory where the proof of a new, tighter upper bound to Ramsey numbers. These numbers measure the size that graphs must reach before inevitably containing structures called cliques. The discovery, announced in March, was the first advance of its type since 1935.
- Original story with links to research papers can be found here:

06:21 Aperiodic Monotile
The most attention-getting result of the year was the discovery of a new kind of tile that covers the plane but only in a pattern that never repeats. A two-tile combination that does this has been known since the 1970s, but the single tile, discovered by a hobbyist named David Smith and announced in March, has been a sensation.
CORRECTION: In the video, the image presented as the 'turtle' tile is in fact a rotated 'spectre' tile. To see the correct version of the turtle tile, you can visit Dave Smith's webpage:
- Original story with links to research papers can be found here:
- Build your own aperiodic tiling patterns with Kaplan's online tool:

14:20 Three Arithmetic Progressions
Two computer scientists, Zander Kelley and Raghu Meka, stunned mathematicians with news of an out-of-left-field breakthrough on an old combinatorics question: How many integers can you throw into a bucket while making sure that no three of them form an evenly spaced progression? Kelley and Meka smashed a long-standing upper bound on the number of integers smaller than some cap N that could be put in the bucket without creating such a pattern.
- Original story with links to research papers can be found here:

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Quanta Magazine is an editorially independent publication supported by the Simons Foundation:

4 Views · 1 month ago

Adding Fractions?
Subtracting Fractions?
Multiplying Fractions?
Dividing Fractions?
Mixed Numbers?
Simplifying Fractions?

It's all here.

To support tecmath on Patreon:
It really helps and is appreciated!

3 Views · 2 months ago

The most famous equation in finance, the Black-Scholes/Merton equation, came from physics. It launched an industry worth trillions of dollars and led to the world’s best investments. Go to and use the code Veritasium for $200 off your Pod Cover.

Special thanks to our Patreon supporters! Join this list to help us keep our videos free, forever:

If you’re looking for a molecular modeling kit, try Snatoms, a kit I invented where the atoms snap together magnetically -


A huge thank you to Prof. Andrew Lo (MIT) for speaking with us and helping with the script.

We would also like to thank the following:
Prof. Amanda Turner (University of Leeds)
Owen Maher (Electrify Video Partners)


The Man Who Solved the Market: How Jim Simons launched the quant revolution, Gregory Zuckerman. Penguin Publishing Group. -

The Physics of Finance: Predicting the Unpredictable: Can Science Beat the Market? James Owen Weatherall. Short Books. -

The Statistical Mechanics of Financial Markets, J.Voigt. Springer. -

Black, F., & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of political economy, 81(3), 637-654. -

Cornell, B. (2020). Medallion fund: The ultimate counterexample?. The Journal of Portfolio Management, 46(4), 156-159. -

Images & Video:
Ed Thorp on The Tim Ferris Show -
Jim Simons on TED -
Jim Simons on Numberphile -

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Directed by Will Wood and Derek Muller
Written by Will Wood, Emily Zhang, Petr Lebedev and Derek Muller
Camera operation by Raquel Nuno
Additional research by Gregor Čavlović
Edited by Jack Saxon and Trenton Oliver
Animated by Fabio Albertelli, Jakub Misiek, Ivy Tello, David Szakaly and Will Wood
Produced by Will Wood, Han Evans and Derek Muller

Thumbnail by Ren Hurley
Additional video/photos supplied by Getty Images and Pond5
Music from Epidemic Sound

2 Views · 2 months ago

Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via get 20% off a yearly subscription.

Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.


Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. —

Conway, J. (1970). The game of life. Scientific American, 223(4), 4. —

Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. —

Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. —

Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. —

Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. —

Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. —

Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. —

Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. —

Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. —

Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. —

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Executive Producer: Derek Muller
Writers: Adam Becker, Jonny Hyman, Derek Muller
Animators: Fabio Albertelli, Jakub Misiek, Ivy Tello, Jonny Hyman
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Editors: Derek Muller
Producers: Petr Lebedev, Emily Zhang
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Thumbnail by Geoff Barrett