3b1b
Taylor series | Chapter 11, Essence of calculus
The essence of calculus
The paradox of the derivative | Chapter 2, Essence of calculus
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Differential equations, a tourist's guide | DE1
But what is the Fourier Transform? A visual introduction.
Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus
Dot products and duality | Chapter 9, Essence of linear algebra
Backpropagation calculus | Chapter 4, Deep learning
Derivative formulas through geometry | Chapter 3, Essence of calculus
But what is a convolution?
What is backpropagation really doing? | Chapter 3, Deep learning
Abstract vector spaces | Chapter 16, Essence of linear algebra
Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus
Visualizing the chain rule and product rule | Chapter 4, Essence of calculus
Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
But what is a neural network? | Chapter 1, Deep learning
But what is a Fourier series? From heat flow to drawing with circles | DE4
Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra
But what is the Central Limit Theorem?
Why π is in the normal distribution (beyond integral tricks)
Gradient descent, how neural networks learn | Chapter 2, Deep learning
What does area have to do with slope? | Chapter 9, Essence of calculus
The hardest problem on the hardest test
But how does bitcoin actually work?
The other way to visualize derivatives | Chapter 12, Essence of calculus
Euler's formula with introductory group theory
Thinking outside the 10-dimensional box
Researchers thought this was a bug (Borwein integrals)
Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra
The more general uncertainty principle, regarding Fourier transforms
The medical test paradox, and redesigning Bayes' rule
Cross products in the light of linear transformations | Chapter 11, Essence of linear algebra
Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra
Cross products | Chapter 10, Essence of linear algebra
Change of basis | Chapter 13, Essence of linear algebra
Why is pi here? And why is it squared? A geometric answer to the Basel problem
Binomial distributions | Probabilities of probabilities, part 1
Convolutions | Why X+Y in probability is a beautiful mess
Pi hiding in prime regularities
Solving Wordle using information theory
e^(iπ) in 3.14 minutes, using dynamics | DE5
Who cares about topology? (Inscribed rectangle problem)
Group theory, abstraction, and the 196,883-dimensional monster
Simulating an epidemic
Q&A with Grant Sanderson (3blue1brown)
All possible pythagorean triples, visualized
Olympiad level counting (Generating functions)
Beyond the Mandelbrot set, an intro to holomorphic dynamics
How colliding blocks act like a beam of light...to compute pi.
How (and why) to raise e to the power of a matrix | DE6
How to lie using visual proofs
Why “probability of 0” does not mean “impossible” | Probabilities of probabilities, part 2
But what is a partial differential equation? | DE2
A pretty reason why Gaussian + Gaussian = Gaussian
This pattern breaks, but for a good reason | Moser's circle problem
A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra
From Newton’s method to Newton’s fractal (which Newton knew nothing about)
Using topology for discrete problems | The Borsuk-Ulam theorem and stolen necklaces
Fractals are typically not self-similar