SciShow
4 of Physics’ (Other) Greatest Mysteries
Physicists are interested in the big questions like "Where did we come from?" and "What is all this stuff?". But the answers to some of these questions, just lead to more questions.
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.
MinutePhysics
How Shor's Algorithm Factors 314191
This video explains how Shor’s Algorithm factors the pseudoprime number 314191 into its prime factors using a quantum computer. The quantum computation relies on the number-theoretic analysis of the factoring problem via modular...
TED Talks
Craig Costello: In the war for information, will quantum computers defeat cryptographers?
In this glimpse into our technological future, cryptographer Craig Costello discusses the world-altering potential of quantum computers, which could shatter the limits set by today's machines -- and give code breakers a master key to the...
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
TED: Meet the inventor of the electronic spreadsheet | Dan Bricklin
Dan Bricklin changed the world forever when he codeveloped VisiCalc, the first electronic spreadsheet and grandfather of programs you probably use every day like Microsoft excel and Google Sheets. Join the software engineer and computing...
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.
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?
TED-Ed
TED-Ed: The psychology behind irrational decisions - Sara Garofalo
Often people make decisions that are not "rational" from a purely economical point of view - meaning that they don't necessarily lead to the best result. Why is that? Are we just bad at dealing with numbers and odds? Or is there a...
TED-Ed
TED-Ed: Can you solve the passcode riddle? - Ganesh Pai
In a dystopian world, your resistance group is humanity's last hope. Unfortunately, you've all been captured by the tyrannical rulers and brought to the ancient coliseum for their deadly entertainment. Will you be able to solve the...
3Blue1Brown
e to the pi i, a nontraditional take (old version)
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...
PBS
The Mathematics of Diffie-Hellman Key Exchange
Symmetric keys are essential to encrypting messages. How can two people share the same key without someone else getting a hold of it? Upfront asymmetric encryption is one way, but another is Diffie-Hellman key exchange.
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.
SciShow
The Surprising Link Between Allergies and Suicide
Our mood is influenced in many ways by our environment, and researchers have discovered a possible connection between the pollen in our air and a rise in suicide.
TED Talks
TED: What to trust in a "post-truth" world | Alex Edmans
Only if you are truly open to the possibility of being wrong can you ever learn, says researcher Alex Edmans. In an insightful talk, he explores how confirmation bias -- the tendency to only accept information that supports your personal...
TED-Ed
TED-Ed: Mysteries of vernacular: Zero - Jessica Oreck and Rachael Teel
Though the first written number system can be dated back to 2500 years ago in Mesopotamia, a zero-like symbol did not appear until 7th century CE India. Jessica Oreck and Rachael Teel track the evolution of zero from a dot to the symbol...
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
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.
PBS
Self-Replicating Robots and Galactic Domination
We'll soon be capable of building self-replicating robots. This will not only change humanity's future but reshape the galaxy as we know it.
SciShow
Plants. Can't. Count. - ...except they kinda can...
It seems silly to ask if plants can count, but even the New York Times has called Venus flytraps 'Plants That Can Count.' Is counting a thing plants can do?
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.