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
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
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
Hamming codes and error correction
A discovery-oriented introduction to error correction codes.
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...
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
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.
3Blue1Brown
Snell's law proof using springs: Brachistochrone - Part 2 of 2
A clever mechanical proof of Snell's law.
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem): Topology - Part 1 of 3
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.
3Blue1Brown
Cross products in the light of linear transformations: Essence of Linear Algebra - Part 11 of 15
The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.
3Blue1Brown
The most unexpected answer to a counting puzzle
A puzzle involving colliding blocks where the number pi, vey unexpectedly, shows up.
3Blue1Brown
Binary, Hanoi, and Sierpinski, part 2
How counting in Ternary can solve a variant of the Tower's of Hanoi puzzle, and how this gives rise to a beautiful connection to Sierpinski's triangle.
3Blue1Brown
What's so special about Euler's number e? | Essence of calculus, chapter 5
What is the derivative of a^x? Why is e^x its own derivative? This video shows how to think about the rule for differentiating exponential functions.
3Blue1Brown
Abstract vector spaces | Essence of linear algebra, chapter 15
What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.
3Blue1Brown
Tattoos on Math
After a friend of mine got a tattoo with a representation of the cosecant function, it got me thinking about how there's another sense in which this function is a tattoo on math, so to speak.
3Blue1Brown
A Curious Pattern Indeed
Moser's circle problem. What is this pattern: 1, 2, 4, 8, 16, 31,...
3Blue1Brown
Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.