3Blue1Brown
Cramer's rule, explained geometrically: Essence of Linear Algebra - Part 12 of 15
This rule seems random to many students, but it has a beautiful reason for being true.
3Blue1Brown
But how does bitcoin actually work?
How does bitcoin work? What is a "block chain"? What problem is this system trying to solve, and how does it use the tools of cryptography to do so?
3Blue1Brown
What they won't teach you in calculus
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
TED-ED: Music and math: The genius of Beethoven - Natalya St. Clair
How is it that Beethoven, who is celebrated as one of the most significant composers of all time, wrote many of his most beloved songs while going deaf? The answer lies in the math behind his music. Natalya St. Clair employs the...
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, chapter 8
How do you think about a non-square matrix as a transformation?
3Blue1Brown
Cross products | Essence of linear algebra, Chapter 10
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
3Blue1Brown
Eigenvectors and eigenvalues | Essence of linear algebra, chapter 10
Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?
3Blue1Brown
But what is a Neural Network? | Deep learning, chapter 1
An overview of what a neural network is, introduced in the context of recognizing hand-written digits.
3Blue1Brown
Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam: Topology - Part 2 of 3
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.
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.
3Blue1Brown
But how does bitcoin actually work? Cryptocurrency - Part 1 of 2
How does bitcoin work? What is a "block chain"? What problem is this system trying to solve, and how does it use the tools of cryptography to do so?
TED-Ed
TED-Ed: Einstein's miracle year - Larry Lagerstrom
As the year 1905 began, Albert Einstein faced life as a "failed" academic. Yet within the next twelve months, he would publish four extraordinary papers, each on a different topic, that were destined to radically transform our...
PBS
Topology Riddles | Infinite Series
Can you turn your pants inside out without taking your feet off the ground?
PBS
The Geometry of SET
In the card game SET, what is the maximum number of cards you can deal that might not contain a SET?
TED Talks
Jean-Baptiste Michel: The mathematics of history
What can mathematics say about history? According to TED Fellow Jean-Baptiste Michel, quite a lot. From changes to language to the deadliness of wars, he shows how digitized history is just starting to reveal deep underlying patterns.
PBS
Is the Universe a Computer?
The universe is made up of information, similar to a computer, and physics (you know, the basis of the universe) certainly is based on computational principles. But is it running some grand program? Will the answer be 42? Make sure you...
PBS
Kill the Mathematical Hydra
How do you defeat a creature that grows two heads for every one head you chop off? You do the math.
PBS
Solving the Wolverine Problem with Graph Coloring
At one time, Wolverine served on four different superhero teams. How did he do it? He may have used graph coloring.
3Blue1Brown
Ever wonder how Bitcoin (and other cryptocurrencies) actually work?
How does bitcoin work? What is a "block chain"? What problem is this system trying to solve, and how does it use the tools of cryptography to do so?
3Blue1Brown
Inverse matrices, column space and null space: Essence of Linear Algebra - Part 7 of 15
How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?
3Blue1Brown
Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus
How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.
3Blue1Brown
Vectors, what even are they? | Essence of linear algebra, chapter 1
What is a vector? Is it an arrow in space? A list of numbers?