MinutePhysics
Is the Universe Entirely Mathematical feat. Max Tegmark
Is the Universe Entirely Mathematical feat. Max Tegmark
TED-Ed
TED-Ed: Does math have a major flaw? | Jacqueline Doan and Alex Kazachek
A mathematician with a knife and ball begins slicing and distributing the ball into an infinite number of boxes. She then recombines the parts into five precise sections. Moving and rotating these sections around, she recombines them to...
PBS
Will the Universe Expand Forever?
Throughout history, there has been much speculation about what the fate of the universe would be. Many theorized that the universe would eventually succumb to the pull of gravity, and reverse its expansion in what was being called ‘The...
Be Smart
The Golden Ratio: Is It Myth or Math?
The golden ratio. Some say it’s the most mythical number in the universe. Others say it underlies everything from nature’s patterns to beauty in art and design. But, like, what is it? And does the myth of the golden ratio hold up to its...
TED Talks
TED: A mysterious design that appears across millennia | Terry Moore
What can we make of a design that shows up over and over in disparate cultures throughout history? Theorist Terry Moore explores "Penrose tiling" -- two shapes that fit together in infinite combinations without ever repeating -- and...
SciShow
Why Is ChatGPT Bad At Math?
Sometimes, you ask ChatGPT to do a math problem that an arithmetically-inclined grade schooler can do with ease. And sometimes, ChatGPT can confidently state the wrong answer. It's all due to its nature as a large language model, and the...
SciShow
The Fibonacci Sequence: Nature's Code
Hank introduces us to the most beautiful numbers in nature - the Fibonacci sequence.
SciShow
4 Weird Unsolved Mysteries of Math
There are lots of unsolved mysteries in the world of math, and many of them start off with a deceptively simple premise, like: What's the biggest couch you can slide around a 90-degree corner? Hosted by: Michael Aranda
PBS
Thinking about math in terms of literacy - not levels
Algebra is a core subject for U.S. high school students. But should it be? Author Andrew Hacker believes we should reconsider how math is taught: only 5 percent of the American workforce actually uses math beyond arithmetic, though...
PBS
Counting the benefits of teaching math to 3-year-olds
"In Boston public schools, 3, 4 and 5-year-olds are getting their first introduction to math. Before they walk through the kindergarten door, the "Building Blocks" curriculum is designed to encourage very young children to think and talk...
3Blue1Brown
Visualizing quaternions (4d numbers) with stereographic projection
How to visualize quaternions, a 4d number system, in our 3d world
3Blue1Brown
Eigenvectors and eigenvalues | Essence of linear algebra, chapter 14
Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?
3Blue1Brown
Cramer's rule, explained geometrically | Essence of linear algebra, chapter 12
What Cramer's rule is, and a geometric reason it's true
3Blue1Brown
Abstract vector spaces | Essence of linear algebra, chapter 11
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
But what is a Fourier series? From heat flow to circle drawings | DE4
Fourier series, from the heat equation to sines to cycles.
3Blue1Brown
A quick trick for computing eigenvalues | Essence of linear algebra, chapter 15
A quick way to compute eigenvalues of a 2x2 matrix
3Blue1Brown
Alice, Bob, and the average shadow of a cube
A story of problem-solving styles, with the central example of finding the average area for the shadow of a cube.
Bozeman Science
Mathematics - Biology's New Microscope
Paul Andersen (with the help of PatricJMT) explains why mathematics may be biology's next microscope.
3Blue1Brown
Eigenvectors and eigenvalues: Essence of Linear Algebra - Part 14 of 15
Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?
3Blue1Brown
Integration and the fundamental theorem of calculus | Essence of calculus, chapter 8
What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?