3Blue1Brown
A quick trick for computing eigenvalues | Essence of linear algebra, chapter 15
A quick way to compute eigenvalues of a 2x2 matrix
3Blue1Brown
Visualizing the chain rule and product rule: Essence of Calculus - Part 4 of 11
The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?
MinutePhysics
The Unreasonable Efficiency of Black Holes
This video is about how efficient various reactions are at converting mass to energy (as we know from the Einstein mass-energy equivalence of E=mc^2). Antimatter is very efficient but it is not naturally-occurring. Chemical reactions...
3Blue1Brown
Visualizing the chain rule and product rule | Essence of calculus, chapter 4
The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?
3Blue1Brown
Visualizing the chain rule and product rule | Chapter 4, Essence of calculus
The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?
PBS
The Real Meaning of E=mc Squared
You've probably known OF E=mc_ since you were born, and were also probably told that it meant that it proved Mass equaled Energy, or something along those lines. BUT WAIT. Was E=mc_ explained to you properly? Mass equalling energy is...
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.
MinutePhysics
Why Raindrops Are Mathematically Impossible
Why Raindrops Are Mathematically Impossible
3Blue1Brown
Higher order derivatives | Footnote, Essence of calculus
What is the second derivative? Third derivative? How do you think about these?
MinutePhysics
Einstein's Proof of E=mc2
Ever wonder how Einstein proved E=mc2? This is how. Pi day (3.14) is Albert Einstein's Birthday! To celebrate, we'll explain 4 of his most groundbreaking papers from 1905, when he was just 26 years old
MinutePhysics
The Twins Paradox Hands-On Explanation | Special Relativity Ch. 8
This video is chapter 8 in my series on special relativity, and it presents a hands-on explanation of the resolution to the Twins Paradox using the mechanical minkowski diagram, aka mechanical Lorentz transformation, aka spacetime globe....
3Blue1Brown
Higher order derivatives: Essence of Calculus - Part 10 of 11
What is the second derivative? Third derivative? How do you think about these?
Bozeman Science
Calculating the Electric Force
In this video Paul Andersen explains how you can use Coulomb's Law to determine the electric force between two charges. In Physics 1 students should be able to calculate the force between two charges and in Physics 2 students should be...
TED Talks
Arthur Benjamin: A performance of "Mathemagic"
In a lively show, mathemagician Arthur Benjamin races a team of calculators to figure out 3-digit squares, solves another massive mental equation and guesses a few birthdays. How does he do it? He’ll tell you.
MinutePhysics
E=mc2 is Incomplete
You've heard of E=mc2... but you probably haven't heard the whole story.
SciShow
3 Ways Pi Can Explain Practically Everything
What’s irrational and never ends? Pi! Hank explains how we need pi to explain some of the most basic but most important principles of the universe, in honor of Pi Day.
Bozeman Science
AP Biology Lab 8: Population Genetics and Evolution
Mr. Andersen explains Hardy-Weinberg equilibrium and describes the bead lab.
Bozeman Science
Rotational Inertia
In this video Paul Andersen explains how the angular momentum of an object if a product of the rotational inertia and the angular velocity. The rotational inertia depends on the mass, radius and shape of the rotating objects. A sample...
TED Talks
TED: The magic of Fibonacci numbers | Arthur Benjamin
Math is logical, functional and just ... awesome. Mathemagician Arthur Benjamin explores hidden properties of that weird and wonderful set of numbers, the Fibonacci series. (And reminds you that mathematics can be inspiring, too!)
3Blue1Brown
But WHY is a sphere's surface area four times its shadow?
Two proofs for the surface area of a sphere
Crash Course
Derivatives: Crash Course Physics
CALCULUS! Today we take our first steps into the language of Physics; mathematics. Every branch of science has its own way to describe the things that it investigates. And, with Physics, that's math. In this episode, Shini talks us...
MinutePhysics
Tutorial - Creating the Sound of Hydrogen
In this tutorial I show how I synthesized the sound of hydrogen for the "Sound of Hydrogen" video using mathematica - it's a little technical, but you've been requesting it!