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...

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...

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?

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?

How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.

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...

What is a vector? Is it an arrow in space? A list of numbers?

Announcement for the results of the first Summer of Math Exposition

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.

How couting in binary can solve the famous tower's of hanoi problem.

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.

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...

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.

How couting in binary can solve the famous tower's of hanoi problem.

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?

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.

What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?

June 28 is Tau Day! Join SciShow as we celebrate circles by exploring the many uses of twice pi.

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...

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.

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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.

A simple Q&A

A clever mechanical proof of Snell's law.