3Blue1Brown
But what is a Fourier series? From heat flow to circle drawings | DE4
Fourier series, from the heat equation to sines to cycles.
3Blue1Brown
Visualizing quaternions (4d numbers) with stereographic projection - Part 1 of 2
How to visualize quaternions, a 4d number system, in our 3d world
3Blue1Brown
What are quaternions, and how do you visualize them? A story of four dimensions.
How to think about this 4d number system in our 3d space.
3Blue1Brown
Some light quantum mechanics (with MinutePhysics)
An introduction to the quantum behavior of light, specifically the polarization of light. The emphasis is on how many ideas that seem "quantumly weird" are actually just wave mechanics, applicable in a lot of classical physics.
3Blue1Brown
But what is a Fourier series? From heat flow to circle drawings: Differential Equations - Part 4 0f 5
Fourier series, from the heat equation to sines to cycles.
3Blue1Brown
Thinking visually about higher dimensions
A method for thinking about high-dimensional spheres, introduced in the context of a classic example involving a high-dimensional sphere inside a high-dimensional box.
3Blue1Brown
How colliding blocks act like a beam of light...to compute pi.
The third and final part of the block collision sequence.
3Blue1Brown
Thinking outside the 10-dimensional box
A method for thinking about high-dimensional spheres, introduced in the context of a classic example involving a high-dimensional sphere inside a high-dimensional box.
3Blue1Brown
Why do colliding blocks compute pi?
A solution to the puzzle involving two blocks, sliding fricionlessly, where the number of collisions mysteriously computes pi
3Blue1Brown
How colliding blocks act like a beam of light...to compute pi: Colliding Blocks - Part 3 of 3
The third and final part of the block collision sequence.
PBS
Hacking at Quantum Speed with Shor's Algorithm
Classical computers struggle to crack modern encryption. But quantum computers using Shor's Algorithm make short work of RSA cryptography. Find out how.
3Blue1Brown
So why do colliding blocks compute pi?
A solution to the puzzle involving two blocks, sliding fricionlessly, where the number of collisions mysteriously computes pi
3Blue1Brown
So why do colliding blocks compute pi? Colliding Blocks - Part 2 of 3
A solution to the puzzle involving two blocks, sliding fricionlessly, where the number of collisions mysteriously computes pi
3Blue1Brown
The Brachistochrone, with Steven Strogatz: Brachistochrone - Part 1 of 2
A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.
3Blue1Brown
The Brachistochrone, with Steven Strogatz
A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.
PBS
The Mathematics of Quantum Computers
What is the math behind quantum computers? And why are quantum computers so amazing? Find out on this episode of Infinite Series.
3Blue1Brown
e to the pi i, a nontraditional take (old version)
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...
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
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
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...
PBS
Can You Solve the Poison Wine Challenge?
You're about to throw a party with a thousand bottles of wine, but you just discovered that one bottle is poisoned! Can you determine exactly which one it is?
3Blue1Brown
Music And Measure Theory
How one of the introductory ideas in a field called "measure theory" can be thought of in terms of musical harnomy and dissonance.
3Blue1Brown
All possible pythagorean triples, visualized
There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it uses...