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
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
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.
SciShow
Richard Feynman, The Great Explainer: Great Minds
Like SciShow? Help support us, and also get things to put on your walls, cover your torso, or hold your liquids! Chapters View all GREAT EXPLAINERS 0:26 QUANTUM MECHANICS 2:54 THEORETICAL PHYSICS 3:04 PRANKING OTHER PHYSICISTS 3:55...
3Blue1Brown
Snell's law proof using springs: Brachistochrone - Part 2 of 2
A clever mechanical proof of Snell's law.
TED Talks
Shimon Schocken: The self-organizing computer course
Shimon Schocken and Noam Nisan developed a curriculum for their students to build a computer, piece by piece. When they put the course online -- giving away the tools, simulators, chip specifications and other building blocks -- they...
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.
MinutePhysics
Why Masks Work BETTER Than You'd Think
Thanks to the Heising-Simons foundation for their support: https://www.hsfoundation.org (their COVID-19 grants: https://www.hsfoundation.org/grants/covid-19-response-grants/ ) Check out https://aatishb.com/maskmath to explore and for...
TED Talks
TED: Fractals and the art of roughness | Benoit Mandelbrot
At TED2010, mathematics legend Benoit Mandelbrot develops a theme he first discussed at TED in 1984 -- the extreme complexity of roughness, and the way that fractal math can find order within patterns that seem unknowably complicated.
TED Talks
Margaret Wertheim: The beautiful math of coral
Margaret Wertheim leads a project to re-create the creatures of the coral reefs using a crochet technique invented by a mathematician -- celebrating the amazements of the reef, and deep-diving into the hyperbolic geometry underlying...
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
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.
TED Talks
Robert Lang: The math and magic of origami
Robert Lang is a pioneer of the newest kind of origami -- using math and engineering principles to fold mind-blowingly intricate designs that are beautiful and, sometimes, very useful.
TED Talks
Brian Greene: Is our universe the only universe?
Is there more than one universe? In this visually rich, action-packed talk, Brian Greene shows how the unanswered questions of physics (starting with a big one: What caused the Big Bang?) have led to the theory that our own universe is...
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,...
TED-Ed
TED-Ed: Can you survive the creation of the universe by solving this riddle? | James Tanton
It's moments after the Big Bang and you're still reeling. You're a particle of matter, amidst a chaotic stew of forces, fusion, and annihilation. If you're lucky and avoid being destroyed by antimatter, you'll be the seed of a future...
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.
TED-Ed
TED-Ed: The Chasm | Think Like A Coder, Ep 6 | Alex Rosenthal
This is episode 6 of our animated series "Think Like A Coder." This 10-episode narrative follows a girl, Ethic, and her robot companion, Hedge, as they attempt to save the world. The two embark on a quest to collect three artifacts and...
TED Talks
Scott Kim: The art of puzzles
At the 2008 EG conference, famed puzzle designer Scott Kim takes us inside the puzzle-maker's frame of mind. Sampling his career's work, he introduces a few of the most popular types, and shares the fascinations that inspired some of his...