TED-Ed
TED-Ed: Can you solve the wizard standoff riddle? - Daniel Finkel
You've been chosen as a champion to represent your wizarding house in a deadly duel against two rival magic schools. Your opponents are a powerful sorcerer who wields a wand that can turn people into fish, and a powerful enchantress who...
3Blue1Brown
Higher order derivatives | Essence of calculus, chapter 10
What is the second derivative? Third derivative? How do you think about these?
TED-Ed
TED-ED: The case of the missing fractals - Alex Rosenthal and George Zaidan
A bump on the head, a mysterious femme fatale and a strange encounter on a windswept peak all add up to a heck of a night for Manny Brot, Private Eye. Watch as he tries his hand at saving the dame and getting the cash! Shudder at the...
SciShow
3 Ways Pi Can Explain Practically Everything
What’s irrational and never ends? Pi! Hank explains how we need pi to explain some of the most basic but most important principles of the universe, in honor of Pi Day.
PBS
What Does It Mean to Be a Number? (The Peano Axioms)
If you needed to tell someone what numbers are and how they work, without using the notion of number in your answer, could you do it?
3Blue1Brown
Sneaky Topology | The Borsuk-Ulam theorem and stolen necklaces
Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem
PBS
What is a Random Walk?
To understand finance, search algorithms and even evolution you need to understand Random Walks.
TED-Ed
TED-Ed: Check your intuition: The birthday problem - David Knuffke
Imagine a group of people. How big do you think the group would have to be before there's more than a 50% chance that two people in the group have the same birthday? The answer is - probably lower than you think. David Knuffke explains...
TED-Ed
TED-ED: How statistics can be misleading - Mark Liddell
Statistics are persuasive. So much so that people, organizations, and whole countries base some of their most important decisions on organized data. But any set of statistics might have something lurking inside it that can turn the...
3Blue1Brown
Limits, L'Hôpital's rule, and epsilon delta definitions | Essence of calculus, chapter 7
What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?
TED-Ed
TED-Ed: The ethical dilemma of self-driving cars - Patrick Lin
Self-driving cars are already cruising the streets today. And while these cars will ultimately be safer and cleaner than their manual counterparts, they can't completely avoid accidents altogether. How should the car be programmed if it...
TED Talks
TED: The magic of Fibonacci numbers | Arthur Benjamin
Math is logical, functional and just ... awesome. Mathemagician Arthur Benjamin explores hidden properties of that weird and wonderful set of numbers, the Fibonacci series. (And reminds you that mathematics can be inspiring, too!)
3Blue1Brown
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Intuitions for divergence and curl, and where they come up in physics.
3Blue1Brown
How to count to 1000 on two hands
How to count in binary, and how this lets you count to 1023 on two hands.
3Blue1Brown
What is backpropagation really doing? Deep learning - Part 3 of 4
An overview of backpropagation, the algorithm behind how neural networks learn.
3Blue1Brown
Visualizing turbulence
A look at what turbulence is (in fluid flow), and a result by Kolmogorov regarding the energy cascade of turbulence.
3Blue1Brown
Matrix multiplication as composition | Essence of linear algebra, chapter 4
How to think about matrix multiplication visually as successively applying two different linear transformations.
3Blue1Brown
The other way to visualize derivatives
A visual for derivatives which generalizes more nicely to topics beyond calculus. Thinking of a function as a transformation, the derivative measure how much that function locally stretches or squishes a given region.
3Blue1Brown
Nonsquare matrices as transformations between dimensions: Essence of Linear Algebra - Part 8 of 15
How do you think about a non-square matrix as a transformation?
3Blue1Brown
How to lie using visual proofs
Time stamps: 0:00 - Fake sphere proof 1:39 - Fake pi = 4 proof 5:16 - Fake proof that all triangles are isosceles 9:54 - Sphere "proof" explanation 15:09 - pi = 4 "proof" explanation 16:57 - Triangle "proof" explanation and conclusion
3Blue1Brown
But what is a convolution?
A small correction for the integer multiplication algorithm mentioned at the end. A “straightforward” application of FFT results in a runtime of O(N * log(n) log(log(n)) ). That log(log(n)) term is tiny, but it is only recently in 2019,...