3Blue1Brown
Rediscovering Euler's formula with a mug (not that Euler's formula) - Part 4 of 4
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
3Blue1Brown
Backpropagation calculus | Deep learning, chapter 4
The math of backpropagation, the algorithm by which neural networks learn.
3Blue1Brown
Why is pi here? And why is it squared? A geometric answer to the Basel problem
A beautiful solution to the Basel Problem (1+1/4+1/9+1/16+...) using Euclidian geometry. Unlike many more common proofs, this one makes it very clear why pi is involved in the answer.
3Blue1Brown
Taylor series | Chapter 10, Essence of calculus
Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.
Crash Course
Neural Networks - Crash Course Statistics
Today we're going to talk big picture about what Neural Networks are and how they work. Neural Networks, which are computer models that act like neurons in the human brain, are really popular right now - they're being used in everything...
3Blue1Brown
The paradox of the derivative: Essence of Calculus - Part 2 of 11
An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.
3Blue1Brown
Essence of calculus, chapter 1
An overview of what calculus is all about, with an emphasis on making it seem like something students could discover for themselves. The central example is that of rediscovering the formula for a circle's area, and how this is an...
3Blue1Brown
Essence of linear algebra preview
The introduction to a series on visualizing core ideas of linear algebra.
Crash Course
The Replication Crisis - Crash Course Statistics
Replication (re-running studies to confirm results) and reproducibility (the ability to repeat an analyses on data) have come under fire over the past few years. The foundation of science itself is built upon statistical analysis and yet...
TED-Ed
TED-Ed: Can you solve the giant iron riddle? - Alex Gendler
The family of giants you work for is throwing a fancy dinner party, but there’s a problem — the elder giant’s favorite shirt is wrinkled! To fix it, you’ll need to power up the giant iron. It needs two batteries to work, but the baby...
PBS
How Time Becomes Space Inside a Black Hole
Find out how time and space switch roles when we move beyond the event horizon of the black hole.
3Blue1Brown
Science YouTubers attempting a graph theory puzzle
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
3Blue1Brown
Essence of Linear Algebra: Preview
The introduction to a series on visualizing core ideas of linear algebra.
3Blue1Brown
Taylor series | Essence of calculus, chapter 11
Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.
TED-Ed
TED-ED: Can you solve the pirate riddle? - Alex Gendler
It's a good day to be a pirate. Amaro and his four mateys _ Bart, Charlotte, Daniel, and Eliza have struck gold _ a chest with 100 coins. But now, they must divvy up the booty according to the pirate code - and pirate code is notoriously...
TED-Ed
TED-ED: How to manage your time more effectively (according to machines) - Brian Christian
Human beings and computers alike share the challenge of how to get as much done as possible in a limited time. Over the last fifty or so years, computer scientists have learned a lot of good strategies for managing time effectively - and...
SciShow
Alan Turing: Great Minds
Hank introduces us to that great mathematical mind, Alan Turing, who, as an openly gay man in the early 20th century faced brutal prejudice that eventually led to his suicide, despite being a genius war hero who helped the Allies defeat...
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.
TED-Ed
TED-ED: The first asteroid ever discovered - Carrie Nugent
Over the course of history, we've discovered hundreds of thousands of asteroids. But how do astronomers discover these bits of rock and metal? How many have they found? And how do they tell asteroids apart? Carrie Nugent shares the story...
3Blue1Brown
The Wallis product for pi, proved geometrically
A proof of the Wallis product for pi, together with some neat tricks using complex numbers to analyze circle geometry.
TED-Ed
TED-Ed: Football physics: The "impossible" free kick - Erez Garty
In 1997, Brazilian football player Roberto Carlos set up for a 35 meter free kick with no direct line to the goal. Carlos's shot sent the ball flying wide of the players, but just before going out of bounds it hooked to the left and...
3Blue1Brown
Gradient descent, how neural networks learn: Deep learning - Part 2 of 4
An overview of gradient descent in the context of neural networks. This is a method used widely throughout machine learning for optimizing how a computer performs on certain tasks.
TED-Ed
TED-Ed: The high-stakes race to make quantum computers work - Chiara Decaroli
Get to know the unique properties of quantum computers and the obstacles that have prevented this theoretical technology from becoming a reality. -- Quantum computers could eventually outstrip the computational limits of classical...