3Blue1Brown Courses

Visualizing Quaternions - 4D Numbers With Stereographic Projection

Explore 4D quaternions through stereographic projection, visualizing complex mathematical concepts in 3D space and understanding their geometric implications.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Pi Hiding in Prime Regularities

Explore the fascinating connection between pi, primes, and complex numbers through animated explanations, uncovering hidden patterns and mathematical relationships in number theory.

• YouTube
• 31 minutes
• On-Demand
• Free Video

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
• On-Demand
• Free Video

Why π Is in the Normal Distribution - Beyond Integral Tricks

Explore the mathematical origins of π in the normal distribution through geometric insights, classic proofs, and the Herschel-Maxwell derivation, offering a deeper understanding beyond integral tricks.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Convolutions and Adding Random Variables, Visually Explained

Visual explanation of convolutions and adding random variables, exploring discrete and continuous cases, with connections to the central limit theorem and practical examples.

• YouTube
• 27 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

But How Does Bitcoin Actually Work?

Explore the mathematical foundations of cryptocurrencies, including digital signatures, decentralization, cryptographic hash functions, and blockchain technology in this informative video.

• YouTube
• 25 minutes
• On-Demand
• Free Video

But What Is the Central Limit Theorem?

Visual exploration of the Central Limit Theorem, explaining its significance in probability and statistics through animations, simulations, and real-world examples.

• YouTube
• 31 minutes
• On-Demand
• Free Video