3Blue1Brown Courses

The Origin of Light, Scattering, and Polarization - Barber Pole Effect Part 2

Explore the physics behind light scattering and polarization, unraveling the barber pole effect through radiation law simulations and visual explanations of diagonal stripes and twisting patterns.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

The Medical Test Paradox and Redesigning Bayes' Rule

Explore the medical test paradox and a redesigned Bayes' rule, focusing on likelihood ratios and Bayes factors to enhance understanding of conditional probability in diagnostic testing.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

How to Send a Self-Correcting Message - Hamming Codes

Discover error correction codes through an engaging exploration of Hamming codes, learning how to create self-correcting messages for reliable data transmission.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

Logarithm Fundamentals - Episode 6

Explore logarithm basics through engaging animations and clear explanations. Gain a deeper understanding of this fundamental mathematical concept and its applications.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Simulating an Epidemic

Explore epidemic dynamics through toy SIR models, visualizing how various factors influence disease spread and containment strategies.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

The Wallis Product for Pi - A Geometric Proof

Explore a geometric proof of the famous Wallis product for pi in this engaging 27-minute video. Discover the mathematical beauty behind this intriguing formula through clear explanations and visual animations.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

What is the Fourier Transform? A Visual Introduction

Animated exploration of the Fourier Transform, offering a visual and intuitive understanding of this complex mathematical concept. Ideal for those seeking a clear, engaging introduction to signal processing fundamentals.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Introduction to Quantum Mechanics and Light Polarization

Explore the math of superposition and quantum states, focusing on polarized light and its relation to classical electromagnetic waves. Gain insights into quantum mechanics fundamentals.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Thinking Outside the 10-Dimensional Box - Visualizing High-Dimensional Spheres

Explore high-dimensional spheres and a surprising puzzle through captivating visualizations, expanding your understanding of complex mathematical concepts.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

But What Is a Convolution?

Explore the concept of convolution in mathematics, from probability to image processing and FFTs, with clear explanations and engaging animations.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Group Theory, Abstraction, and the 196,883-Dimensional Monster

Explore group theory, abstraction, and the fascinating 196,883-dimensional monster group in this engaging introduction to mathematical symmetry and classification.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Why Do Prime Numbers Make These Spirals? - Dirichlet’s Theorem, Pi Approximations, and More

Explore the fascinating patterns of prime numbers in spirals, delving into Dirichlet's theorem, pi approximations, and prime distributions through engaging animations and mathematical insights.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

But What Is a Fourier Series? From Heat Flow to Drawing With Circles

Explore Fourier series through heat flow and circular drawings, understanding complex mathematical concepts with engaging animations and clear explanations.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Differential Equations, a Tourist's Guide

Explore ordinary differential equations through intuitive visualizations, covering concepts like vector fields, phase spaces, and real-world applications in physics and social dynamics.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Winding Numbers and Domain Coloring

Explore winding numbers and domain coloring to solve 2D equations numerically. Learn about graphing techniques, color mapping, and applications in complex analysis.

• YouTube
• 25 minutes
• Self-Paced
• Free Video