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.
TED Talks
Kiran Sethi: Kids, take charge
Kiran Bir Sethi shows how her groundbreaking Riverside School in India teaches kids life's most valuable lesson: "I can." Watch her students take local issues into their own hands, lead other young people, even educate their parents.
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.
TED-Ed
Can you solve the monster duel riddle? | Alex Gendler
You've come a long way to compete in the great Diskymon league and prove yourself a Diskymon master. Now that you've made it to the finals, you're up against some tough competition. In round one, you'll face a single opponent and get to...
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
Linear combinations, span, and basis vectors: Essence of Linear Algebra - Part 2 of 15
Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.
SciShow
We Used 1800s Math to Solve One of Jupiter’s Biggest Mysteries
Jupiter's storms cover the planet, but the ones at the planet’s poles have mystified astronomers for years: why haven’t they merged together yet?
3Blue1Brown
Cross products: Essence of Linear Algebra - Part 10 of 15
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
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
But WHY is a sphere's surface area four times its shadow?
Two proofs for the surface area of a sphere
Curated Video
Mathematical Thinking - Crash Course Statistics
Today we’re going to talk about numeracy - that is understanding numbers. From really really big numbers to really small numbers, it's difficult to comprehend information at this scale, but these are often the types of numbers we see...
3Blue1Brown
What does genius look like in math? Where does it come from? (Dandelin spheres)
A beautiful proof of why slicing a cone gives an ellipse.
TED Talks
TED: What's so sexy about math? | Cedric Villani
Hidden truths permeate our world; they're inaccessible to our senses, but math allows us to go beyond our intuition to uncover their mysteries. In this survey of mathematical breakthroughs, Fields Medal winner Cedric Villani speaks to...
SciShow
The Quantum Theory that Connects the Entire Universe
Quantum mechanics is weird and seems a bit...complicated. But understanding it can help us to understand the universe.
TED-Ed
TED-Ed: Can you solve the alien pyramid riddle? | Henri Picciotto
Today is the anniversary of the best-worst day of your life. The best part was discovering a subterranean city on Mars. The worst part was when you lost contact with Earth. You and the other 99 scientists have spent the year engineering...
3Blue1Brown
Hilbert's Curve: Is infinite math useful?
Drawing curves that fill all of space, and a philosophical take on why mathematics about infinite objects can still be useful in finite contexts.
3Blue1Brown
Derivative formulas through geometry: Essence of Calculus - Part 3 of 11
Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...
3Blue1Brown
Why do prime numbers make these spirals?
A curious pattern in polar plots with prime numbers, together with discussion of Dirichlet's theorem
TED-Ed
Can you solve the logician's rave riddle? | Edwin Meyer
Once a year, thousands of logicians descend into the desert for Learning Man. At the center of that gathering is the world's most exclusive club, where under the full moon the annual logician's rave takes place. The entry is guarded by...
TED-Ed
TED-ED: Why do people get so anxious about math? - Orly Rubinsten
Have you ever sat down to take a math test and immediately felt your heart beat faster and your palms start to sweat? This is called math anxiety, and if it happens to you, you're not alone: Researchers think about 20 percent of the...
3Blue1Brown
How secure is 256 bit security? Cryptocurrency - Part 2 of 2
When a piece of cryptography is described as having "256-bit security", what exactly does that mean? Just how big is the number 2^256?
3Blue1Brown
What is backpropagation really doing? | Chapter 3, deep learning
An overview of backpropagation, the algorithm behind how neural networks learn.