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Three false proofs, and what lessons they teach. New notebooks: ...

An animated introduction to the Fourier Transform. Help fund future projects: https://www.patreon.com/3blue1brown An equally ...

The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to ...

Euler's formula about e to the i pi, explained with velocities to positions. Help fund future projects: ...

This video shows six different methods of creating the Sierpiński triangle including removing triangles, the chaos game, Pascal's ...

Dive into Lyapunov stability, one of the most fundamental and important concepts in control theory and system dynamics.

An introduction of what invariants are and how invariants are used in math problems, with an example problem from USAMTS and ...

Math is logical, functional and just ... awesome. Mathemagician Arthur Benjamin explores hidden properties of that weird and ...

What are the neurons, why are there layers, and what is the math underlying it? Help fund future projects: ...

Dig into the mathematical rules and patterns of folding origami, the ancient Japanese art of paper folding. -- Origami, which ...

Visualizing two core operations in calculus. (Small error correction below) Help fund future projects: ...

The formula is no mere coincidence. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of ...

What are complex numbers, really? In this animated video, I breaks down the geometric meaning behind complex numbers using ...

You are not a visual learner — learning styles are a stubborn myth. Part of this video is sponsored by Google Search. Special ...

Visual interpretation of the cross product and the dot product of two vectors. My Patreon page: https://www.patreon.com/EugeneK.

The quadratic formula is really useful, but its derivation is confusing to many. Like what is the point of "completing the square" ...

IMPORTANT CORRECTION: The proper way to write the law of cosines is C^2 = A^2 +B^2 - 2AB cos(Ψ)

This talk was given at a local TEDx event, produced independently of the TED Conferences. Is 26% proficiency in math ...

Mathematician Maggie Miller explores the strange and fascinating world of 4D topology — the study of shapes, or manifolds, that ...

Why the formula for dot products matches their geometric intuition. Help fund future projects: ...