3Blue1Brown
Euler's Formula Poem - Pat 3 of 4
A silly poem encapsulating the ideas from the video about Euler's formula through graph theory.
3Blue1Brown
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Divergence, curl, and their relation to fluid flow and electromagnetism
3Blue1Brown
The paradox of the derivative | Chapter 2, Essence of calculus
An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.
3Blue1Brown
Linear transformations and matrices: Essence of Linear Algebra - Part 3 of 15
When you think of matrices as transforming space, rather than as grids of numbers, so much of linear algebra starts to make sense.
3Blue1Brown
Why “probability of 0” does not mean “impossible” | Probabilities of probabilities, part 2
Introduction to probability density functions.
3Blue1Brown
The determinant | Essence of linear algebra, chapter 6
The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.
3Blue1Brown
Why slicing a cone gives an ellipse
A beautiful proof of why slicing a cone gives an ellipse.
3Blue1Brown
Exponential growth and epidemics
A primer on exponential and logistic growth, with epidemics as a central example
3Blue1Brown
The quick proof of Bayes' theorem
A short explanation of why Bayes' theorem is true, together with discussion on a common misconception in probability
3Blue1Brown
Ever wondered why slicing a cone gives an ellipse? It’s wonderfully clever!
A beautiful proof of why slicing a cone gives an ellipse.
3Blue1Brown
A Curious Pattern Indeed: Circle Division - Part 1 of 2
Moser's circle problem. What is this pattern: 1, 2, 4, 8, 16, 31,...
3Blue1Brown
Binomial distributions | Probabilities of probabilities, part 1
The binomial distribution, introduced as setup to talk about the beta distribution
3Blue1Brown
How pi was almost 6.283185...
A bit of the history behind how we came to use the symbol "pi" to represent what it does today, and how Euler used it to refer to several different circle constants.
3Blue1Brown
Tattoos on Math
After a friend of mine got a tattoo with a representation of the cosecant function, it got me thinking about how there's another sense in which this function is a tattoo on math, so to speak.
3Blue1Brown
Where Newton meets Mandelbrot (Holomorphic dynamics)
How the right question about Newton's method results in a Mandelbrot set.
3Blue1Brown
Limits | Chapter 7, Essence of calculus
What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?
3Blue1Brown
Implicit differentiation, what's going on here? Essence of Calculus - Part 6 of 11
How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.
3Blue1Brown
Differential equations, studying the unsolvable: Differential Equations - Part 1 of 5
What is a differential equation, the pendulum equation, and some basic numerical methods
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But what is a partial differential equation? Differential Equations - Part 2 of 5
The heat equation, as an introductory PDE.
3Blue1Brown
Linear Combinations, Span, and Basis Vectors | Essence of Linear Algebra, Chapter 2
What does it mean for two vectors to be linearly independent? The resource presents the basics of basis vectors and linear combinations. The third video in the 15-part series provides a definition of linear independence in terms of the...
3Blue1Brown
Abstract Vector Spaces | Essence of Linear Algebra, Chapter 11
Take the principles of vectors and apply them to other things that act like vectors. The last video in the series of 15 introduces the more abstract aspects of linear algebra, making the connection back to the vector concepts discussed...
3Blue1Brown
Eigenvectors and Eigenvalues | Essence of Linear Algebra, Chapter 10
Find vectors that stay on their spans after a linear transformation. The 14th video in the series of 15 introduces the concept of eigenvectors, vectors that are only scaled during a linear transformation. The presentation illustrates the...
3Blue1Brown
Change of Basis | Essence of Linear Algebra, Chapter 9
It is all about perspective. A video introduces the idea that the view of a vector all depends upon the perspective of the basis vectors. Knowing how to go from one coordinate system's basis vectors to another system's basis vectors...
3Blue1Brown
Cross Products in the Light of Linear Transformations | Essence of Linear Algebra Chapter 8 Part 2
What do cross products and parallelpipeds have in common? The video discusses the geometric representation of the cross product. The geometric interpretation explains why the computational trick in calculating the cross product works.