Summaries of 3Blue1Brown Videos 📚

Terence Tao on the cosmic distance ladder

But what is a Laplace Transform?

Derivative formulas through geometry | Chapter 3, Essence of calculus

How Does Backpropagation Work in Neural Networks?

But what is quantum computing? (Grover's Algorithm)

How (and why) to take a logarithm of an image

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus

What Is the Fourier Transform and How Does It Work?

Why is pi here? And why is it squared? A geometric answer to the Basel problem

What Are the Key Geometric Intuitions in Linear Algebra?

Change of basis | Chapter 13, Essence of linear algebra

What Is the Attention Mechanism in Transformers?

Trigonometry fundamentals | Ep. 2 Lockdown live math

Why “probability of 0” does not mean “impossible” | Probabilities of probabilities, part 2

How to Solve Towers of Hanoi Using Binary

Visualizing the 4d numbers Quaternions

Solving the heat equation | DE3

But what is the Riemann zeta function? Visualizing analytic continuation

Abstract vector spaces | Chapter 16, Essence of linear algebra

How AI Solves Complex Geometry Problems

Oh, wait, actually the best Wordle opener is not “crane”…

Terence Tao continuing history’s cleverest cosmological measurements

How Secure Is 256-Bit Encryption Against Breaking?

The hardest problem on the hardest test

What Are Linear Transformations and How Are They Represented?

What Are Vectors and How Are They Used in Linear Algebra?

Matrix multiplication as composition | Chapter 4, Essence of linear algebra

But what are Hamming codes? The origin of error correction

Exploration & Epiphany | Guest video by Paul Dancstep

What Is Gradient Descent and How Do Neural Networks Learn?

The essence of calculus

The paradox of the derivative | Chapter 2, Essence of calculus

What Is a Determinant and Why Is It Important in Linear Algebra?

What Are Eigenvectors and Eigenvalues in Linear Algebra?

How Do Dot Products Relate to Linear Transformations?

What Is the Relationship Between Area and Slope?

Divergence and curl: The language of Maxwell's equations, fluid flow, and more

Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus

But what is a convolution?

How to Choose Sellers Using Binomial Distributions

Olympiad level counting (Generating functions)

What Is a Taylor Series and How Does It Work?

What Is a Fourier Series and How Does It Work?

But how do AI images and videos actually work? | Guest video by Welch Labs

Music And Measure Theory

How to Apply Bayes' Theorem in Real Life

Cross products | Chapter 10, Essence of linear algebra

A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra

Visualizing the chain rule and product rule | Chapter 4, Essence of calculus

How are holograms possible? | Optics puzzles 5

What's so special about Euler's number e? | Chapter 5, Essence of calculus

What Is the Inscribed Square Problem in Topology?

How Does Bitcoin Work and Why Is It Important?

Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus

Group theory, abstraction, and the 196,883-dimensional monster

What Is a Neural Network and How Does It Work?

How (and why) to raise e to the power of a matrix | DE6

What Makes a Great Math Explanation for YouTube?

Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra

This pattern breaks, but for a good reason | Moser's circle problem

Differential equations, a tourist's guide | DE1

What does it feel like to invent math?

How Do Large Language Models Work?

The medical test paradox, and redesigning Bayes' rule

How to Simulate Phase Transitions in Fluids

But what is the Central Limit Theorem?

But what is a partial differential equation? | DE2

Backpropagation calculus | Deep Learning Chapter 4

The most beautiful formula not enough people understand

Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra

Solving Wordle using information theory

What "Follow Your Dreams" Misses | Harvey Mudd Commencement Speech 2024