2021 Summer of Math Exposition results
Take a look at the full playlist (really): https://www.youtube.com/watch?v=fJWnA4j0_ho&list=PLnQX-jgAF5pTkwtUuVpqS5tuWmJ-6ZM-Z
Blog post with more details: https://3b1b.co/some1-results
Thanks, as always, to the supporters of this channel for helping to make this whole project possible: http://3b1b.co/thanks
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Typo at 2:00, it should read "Burkard Polster"
Videos and posts mentioned in this video.
That weird light at the bottom of a mug — ENVELOPES
https://youtu.be/fJWnA4j0_ho
Hiding Images in Plain Sight: The Physics Of Magic Windows
https://mattferraro.dev/posts/caustics-engineering
The Beauty of Bézier Curves
https://youtu.be/aVwxzDHniEw
What Is The Most Complicated Lock Pattern?
https://youtu.be/PKjbBQ0PBCQ
Pick's theorem: The wrong, amazing proof
https://youtu.be/uh-yRNqLpOg
Dirac's belt trick, Topology, and Spin ½ particles
https://youtu.be/ACZC_XEyg9U
Galois-Free Guarantee! | The Insolubility of the Quintic
https://youtu.be/BSHv9Elk1MU
The Two Envelope Problem - a Mystifying Probability Paradox
https://youtu.be/_NGPncypY68
The Math Behind Font Rasterization | How it Works
https://youtu.be/LaYPoMPRSlk
What is a Spinor?
https://in-theory.net/what-is-a-spinor/
Understanding e
https://velipeltola.com/understanding-e/
Ancient Multiplication Trick
https://youtu.be/CsMrHzp850M
对称多项式基本定理自我探究
https://www.bilibili.com/video/BV19f4y137mJ
Lehmer Factor Stencils
https://youtu.be/QzohwKT6TNA
What is the limit of a sequence of graphs?
https://youtu.be/7Gj9BH4IZ-4
Steiner's Porism: proving a cool animation
https://youtu.be/fKAyaP8IzlE
Wait, Probabilities can be Negative?!
https://youtu.be/std9EBbtOC0
This random graph fact will blow your mind
https://youtu.be/3QjZ31lj974
Why is pi here? Estimating π by Buffon's n̶e̶e̶d̶l̶e noodle!
https://youtu.be/e-RUyCs9B08
Introduction to Waves
https://airladon.github.io/ivid-wave/
Complex Functions
https://treena.org/lesson/complex-grapher
I spent an entire summer finding this spiral
https://yout
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e to the pi i, a nontraditional take (old version)
3Blue1Brown
Euler's Formula Poem
3Blue1Brown
Euler's Formula and Graph Duality
3Blue1Brown
What does it feel like to invent math?
3Blue1Brown
How to count to 1000 on two hands
3Blue1Brown
Music And Measure Theory
3Blue1Brown
Fractal charm: Space filling curves
3Blue1Brown
The Brachistochrone, with Steven Strogatz
3Blue1Brown
Snell's law proof using springs
3Blue1Brown
Triangle of Power
3Blue1Brown
Essence of linear algebra preview
3Blue1Brown
Vectors | Chapter 1, Essence of linear algebra
3Blue1Brown
Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra
3Blue1Brown
Linear transformations and matrices | Chapter 3, Essence of linear algebra
3Blue1Brown
Matrix multiplication as composition | Chapter 4, Essence of linear algebra
3Blue1Brown
Three-dimensional linear transformations | Chapter 5, Essence of linear algebra
3Blue1Brown
The determinant | Chapter 6, Essence of linear algebra
3Blue1Brown
Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebra
3Blue1Brown
Dot products and duality | Chapter 9, Essence of linear algebra
3Blue1Brown
Cross products in the light of linear transformations | Chapter 11, Essence of linear algebra
3Blue1Brown
Cross products | Chapter 10, Essence of linear algebra
3Blue1Brown
Change of basis | Chapter 13, Essence of linear algebra
3Blue1Brown
Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra
3Blue1Brown
Abstract vector spaces | Chapter 16, Essence of linear algebra
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Who cares about topology? (Old version)
3Blue1Brown
3blue1brown channel trailer
3Blue1Brown
Binary, Hanoi and Sierpinski, part 1
3Blue1Brown
Binary, Hanoi, and Sierpinski, part 2
3Blue1Brown
But what is the Riemann zeta function? Visualizing analytic continuation
3Blue1Brown
Tattoos on Math
3Blue1Brown
Fractals are typically not self-similar
3Blue1Brown
Euler's formula with introductory group theory
3Blue1Brown
The essence of calculus
3Blue1Brown
The paradox of the derivative | Chapter 2, Essence of calculus
3Blue1Brown
Derivative formulas through geometry | Chapter 3, Essence of calculus
3Blue1Brown
Visualizing the chain rule and product rule | Chapter 4, Essence of calculus
3Blue1Brown
What's so special about Euler's number e? | Chapter 5, Essence of calculus
3Blue1Brown
Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus
3Blue1Brown
Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus
3Blue1Brown
Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
3Blue1Brown
What does area have to do with slope? | Chapter 9, Essence of calculus
3Blue1Brown
Higher order derivatives | Chapter 10, Essence of calculus
3Blue1Brown
Taylor series | Chapter 11, Essence of calculus
3Blue1Brown
Pi hiding in prime regularities
3Blue1Brown
All possible pythagorean triples, visualized
3Blue1Brown
But how does bitcoin actually work?
3Blue1Brown
How secure is 256 bit security?
3Blue1Brown
Hilbert's Curve: Is infinite math useful?
3Blue1Brown
Thinking outside the 10-dimensional box
3Blue1Brown
Some light quantum mechanics (with minutephysics)
3Blue1Brown
But what is a neural network? | Deep learning chapter 1
3Blue1Brown
Gradient descent, how neural networks learn | Deep Learning Chapter 2
3Blue1Brown
Backpropagation, intuitively | Deep Learning Chapter 3
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Backpropagation calculus | Deep Learning Chapter 4
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The hardest problem on the hardest test
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Q&A #2 + Net Neutrality Nuance
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Why this puzzle is impossible
3Blue1Brown
But what is the Fourier Transform? A visual introduction.
3Blue1Brown
The more general uncertainty principle, regarding Fourier transforms
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