3Blue1Brown
Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam: Topology - Part 2 of 3
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: Einstein's miracle year - Larry Lagerstrom
As the year 1905 began, Albert Einstein faced life as a "failed" academic. Yet within the next twelve months, he would publish four extraordinary papers, each on a different topic, that were destined to radically transform our...
3Blue1Brown
But how does bitcoin actually work? Cryptocurrency - Part 1 of 2
How does bitcoin work? What is a "block chain"? What problem is this system trying to solve, and how does it use the tools of cryptography to do so?
TED Talks
Conrad Wolfram: Teaching kids real math with computers
From rockets to stock markets, many of humanity's most thrilling creations are powered by math. So why do kids lose interest in it? Conrad Wolfram says the part of math we teach -- calculation by hand -- isn't just tedious, it's mostly...
TED Talks
Jean-Baptiste Michel: The mathematics of history
What can mathematics say about history? According to TED Fellow Jean-Baptiste Michel, quite a lot. From changes to language to the deadliness of wars, he shows how digitized history is just starting to reveal deep underlying patterns.
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
Is the Universe a Computer?
The universe is made up of information, similar to a computer, and physics (you know, the basis of the universe) certainly is based on computational principles. But is it running some grand program? Will the answer be 42? Make sure you...
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...
3Blue1Brown
Ever wonder how Bitcoin (and other cryptocurrencies) actually work?
How does bitcoin work? What is a "block chain"? What problem is this system trying to solve, and how does it use the tools of cryptography to do so?
3Blue1Brown
Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus
How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.
3Blue1Brown
Inverse matrices, column space and null space: Essence of Linear Algebra - Part 7 of 15
How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?
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 Talks
TED: Math is the hidden secret to understanding the world | Roger Antonsen
unlock the mysteries and inner workings of the world through one of the most imaginative art forms ever -- mathematics -- with Roger Antonsen, as he explains how a slight change in perspective can reveal patterns, numbers and formulas as...
3Blue1Brown
A few of the best math explainers from this summer
Announcement for the results of the first Summer of Math Exposition
3Blue1Brown
The three utilities puzzle with math/science YouTubers
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
Binary, Hanoi and Sierpinski, part 1
How couting in binary can solve the famous tower's of hanoi problem.
3Blue1Brown
The hardest problem on the hardest test
A geometry/probability question on the Putnam, a famously hard test, about a random tetrahedron in a sphere. This offers an opportunity not just for a lesson about the problem, but about problem-solving tactics in general.
3Blue1Brown
The hardest problem on the hardest test
A geometry/probability question on the Putnam, a famously hard test, about a random tetrahedron in a sphere. This offers an opportunity not just for a lesson about the problem, but about problem-solving tactics in general.
TED Talks
Geoffrey West: The surprising math of cities and corporations
Physicist Geoffrey West has found that simple, mathematical laws govern the properties of cities -- that wealth, crime rate, walking speed and many other aspects of a city can be deduced from a single number: the city's population. In...
3Blue1Brown
Binary, Hanoi and Sierpinski - Part 1 of 2
How couting in binary can solve the famous tower's of hanoi problem.
TED Talks
Chris Anderson (TED): Questions no one knows the answers to
TED curator Chris Anderson shares his obsession with questions that no one (yet) knows the answers to. A short intro leads into two questions: Why can't we see evidence of alien life? And how many universes are there?
3Blue1Brown
Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?
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
Happy Tau Day!
June 28 is Tau Day! Join SciShow as we celebrate circles by exploring the many uses of twice pi.