3Blue1Brown
A few of the best math explainers from this summer
Announcement for the results of the first Summer of Math Exposition
3Blue1Brown
The three utilities puzzle with math/science YouTubers
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
3Blue1Brown
Binary, Hanoi and Sierpinski, part 1
How couting in binary can solve the famous tower's of hanoi problem.
3Blue1Brown
The hardest problem on the hardest test
A geometry/probability question on the Putnam, a famously hard test, about a random tetrahedron in a sphere. This offers an opportunity not just for a lesson about the problem, but about problem-solving tactics in general.
TED-Ed
TED-ED: The myth of Arachne and Athena - Iseult Gillespie
From sailors who were turned into pigs, nymphs that sprouted into trees, and a gaze that converted the beholder to stone, Greek mythology brims with shape-shifters. The powerful Gods usually changed their own forms at will - but for...
TED-Ed
TED-Ed: Can you solve the passcode riddle? - Ganesh Pai
In a dystopian world, your resistance group is humanity's last hope. Unfortunately, you've all been captured by the tyrannical rulers and brought to the ancient coliseum for their deadly entertainment. Will you be able to solve the...
3Blue1Brown
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Divergence, curl, and their relation to fluid flow and electromagnetism
3Blue1Brown
The hardest problem on the hardest test
A geometry/probability question on the Putnam, a famously hard test, about a random tetrahedron in a sphere. This offers an opportunity not just for a lesson about the problem, but about problem-solving tactics in general.
3Blue1Brown
But what is the Fourier Transform? A visual introduction.
An animated introduction to the Fourier Transform, winding graphs around circles.
3Blue1Brown
Binary, Hanoi and Sierpinski - Part 1 of 2
How couting in binary can solve the famous tower's of hanoi problem.
3Blue1Brown
The most unexpected answer to a counting puzzle: Colliding Blocks - Part 1 of 3
A puzzle involving colliding blocks where the number pi, vey unexpectedly, shows up.
3Blue1Brown
Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?
3Blue1Brown
Pi hiding in prime regularities
A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
3Blue1Brown
Hamming codes and error correction
A discovery-oriented introduction to error correction codes.
TED-Ed
TED-ED: What in the world is topological quantum matter?
David Thouless, Duncan Haldane, and Michael Kosterlitz won the Nobel Prize in Physics in 2016 for discovering that even microscopic matter at the smallest scale can exhibit macroscopic properties and phases that are topological. But -...
3Blue1Brown
Pi hiding in prime regularities
A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
TED-Ed
TED-Ed: Mysteries of vernacular: Zero - Jessica Oreck and Rachael Teel
Though the first written number system can be dated back to 2500 years ago in Mesopotamia, a zero-like symbol did not appear until 7th century CE India. Jessica Oreck and Rachael Teel track the evolution of zero from a dot to the symbol...
3Blue1Brown
Understanding e to the pi i
The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns...
TED-Ed
TED-Ed: Why don't perpetual motion machines ever work? - Netta Schramm
Perpetual motion machines - devices that can do work indefinitely without any external energy source - have captured many inventors' imaginations because they could totally transform our relationship with energy. There's just one...
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem)
This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.
SciShow
Richard Feynman, The Great Explainer: Great Minds
Like SciShow? Help support us, and also get things to put on your walls, cover your torso, or hold your liquids! Chapters View all GREAT EXPLAINERS 0:26 QUANTUM MECHANICS 2:54 THEORETICAL PHYSICS 3:04 PRANKING OTHER PHYSICISTS 3:55...