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3Blue1Brown
But what is the Fourier Transform? A visual introduction.
An animated introduction to the Fourier Transform, winding graphs around circles.
3Blue1Brown
Solving 2D equations using color, a story of winding numbers and composition
An algorithm for numerically solving certain 2d equations. Even though we described how winding numbers can be used to solve 2d equations at a high level, it's worth pointing out that there are a few details missing for if you wanted to...
3Blue1Brown
Why does this product equal pi/2? A new proof of the Wallis formula for pi.
A new and more circularly proof of a famous infinite product for pi.
3Blue1Brown
How pi was almost 6.283185
Happy pi day! Did you know that in some of his notes, Euler used the symbol pi to represent 6.28..., before the more familiar 3.14... took off as a standard?
3Blue1Brown
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Intuitions for divergence and curl, and where they come up in physics.
3Blue1Brown
What does genius look like in math? Where does it come from? (Dandelin spheres)
A beautiful proof of why slicing a cone gives an ellipse.
3Blue1Brown
What they won't teach you in calculus
A visual for derivatives which generalizes more nicely to topics beyond calculus.
ProTeachersVideo
Painting With Numbers: Safety in Numbers
Marcus du Sautoy delves into the fascinating world of mathematical codes and shows us how modern technology relies on them to let us communicate quickly, effectively and safely. In this programme, Marcus explains how everything from the...
Institute for New Economic Thinking
Steve Keen: A Computer Simulation of Monetary Dynamics
The financial crisis that ran from 2007 to 2009 has been called a "Minsky Moment," meaning it offered a much-needed reminder to all economists of Hyman Minsky's neglected dictum that "capitalism is essentially a financial system."...
Domain of Science
The Map of Mathematics
How does all this math fit together? The resource creates a graphical view of the extent of mathematics. The map shows the pure and applied sides of studying mathematics and breaks them down into their many disciplines.