PickVidsBest Pure mathematics Videos
The 97 Pure mathematics videos here were recommended by different people across different months. Choose by who it is for: 30 introductory, 24 intermediate, 38 for a general viewer, and 5 for someone who wants the harder derivation. Most of them are an explainer. What they share is that one picture or analogy is used to supply a missing concept. Channels you will keep seeing include 3Blue1Brown, Numberphile, Mathologer.
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
A Numberphile video in which physicists Tony Padilla and Ed Copeland show a seemingly astounding result that 1+2+3+4+...
A simple trick to design your own solutions for Rubik's cubes
Mathologer shows a simple idea, the commutator, that lets anyone who can solve the first layer design their own full Rubik's cube solution.
Eric Weinstein: Revolutionary Ideas in Science, Math, and Society | Lex Fridman Podcast #16
Lex Fridman interviews mathematician and economist Eric Weinstein about science, mathematics, and society.
Sloane's Gap - Numberphile
A Numberphile video with Dr James Grime on Sloane's Gap, the observation that integers in the OEIS are not evenly represented and some numbers are underrepresented.
Strange Spheres in Higher Dimensions - Numberphile
Matt Parker on Numberphile explains the strange properties of spheres in higher dimensions, such as how they poke out of their bounding boxes.
Feynman: Mathematicians versus Physicists
A ten-minute clip of Richard Feynman describing how mathematicians and physicists differ in their interests and customs.
Pentagons Are Terrible at One Thing
A CGP Grey video about why pentagons are bad at tiling and why hexagons are so special, in his usual playful style.
Gregory Chaitin - Is Mathematics Invented or Discovered?
Gregory Chaitin is interviewed on Closer To Truth about whether mathematics is invented or discovered.
5040 and other Anti-Prime Numbers - Numberphile
Numberphile's James Grime discusses highly composite numbers, nicknamed anti-primes, which have more factors than any smaller number, using 5040 as the central example.
Klein Bottles - Numberphile
Numberphile interviews Cliff Stoll about Klein bottles, the one-sided surfaces with no inside or outside.
What is Euler's formula actually saying? | Ep. 4 Lockdown live math
A 3Blue1Brown live lockdown math episode asking what Euler's formula e^(pi i) is actually saying.
The Trinity Hall Prime - Numberphile
Numberphile with Tadashi Tokieda on the Trinity Hall Prime, a prime number whose digits form a picture of the college's coat of arms, left as a gift by a departing mathematician.
Group theory, abstraction, and the 196,883-dimensional monster
3Blue1Brown introduces group theory and abstract groups, then builds toward classification of finite simple groups and the enormous Monster group with its 196,883 dimensions.
Five Stages of Accepting Constructive Mathematics - Andrej Bauer
Andrej Bauer's IAS talk introduces constructive mathematics and what it feels like to do mathematics without excluded middle.
Why is there no equation for the perimeter of an ellipse‽
Stand-up Maths explains why the perimeter of an ellipse has no simple closed-form equation, showing the infinite series and presenting approximation formulas.
Category Theory, The essence of interface-based design - Erik Meijer
Erik Meijer argues that category theory is the mathematicians' version of interface-based design.
The mathematician who cracked Wall Street | Jim Simons
A TED interview in which Chris Anderson talks with Jim Simons about his life: code-breaking, math, founding Renaissance Technologies, and his philanthropy in math education and origins-of-life research.
Feynman: 'Greek' versus 'Babylonian' mathematics
A clip of Richard Feynman contrasting the Greek and Babylonian traditions of mathematical reasoning.
The Uncracked Problem with 33 - Numberphile
Numberphile with Tim Browning on the sum-of-three-cubes problem and why 33 was the lowest unsolved case.
Hitler Learns Topology
A parody in the Downfall meme format where Hitler rages over confusing topology terminology about open, closed and clopen sets.
Gerald Jay Sussman: The Role of Programming (Dan Friedman's 60th Birthday)
Gerald Jay Sussman speaks at Dan Friedman's 60th birthday celebration about how programming helps formulate and clarify ideas.
Gauge Theory and Inflation: Enlarging the Wu-Yang Dictionary
A talk by Eric Weinstein on gauge theory and its possible application to economics and inflation.
Why Democracy Is Mathematically Impossible
Veritasium explains why no voting system can be perfectly fair, drawing on Arrow's theorem and the work of Eric Maskin.
Outside In
A 21-minute animation showing how a sphere can be turned inside out without creases or tears, known as sphere eversion.