HACKER TUBES / プレイリスト
Mathematics you can see
Vectors, determinants, eigenvectors, and Fourier analysis explained through pictures and geometric intuition.
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Vectors | Chapter 1, Essence of linear algebra
3Blue1Brown · 17 件のHN推薦The first chapter of 3Blue1Brown's Essence of Linear Algebra series, introducing vectors with animated geometric visuals. It begins a series that builds intuition for linear algebra from the basics.
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The determinant | Chapter 6, Essence of linear algebra
3Blue1Brown · 6 件のHN推薦A 10-minute 3Blue1Brown chapter explaining the determinant as the factor by which a linear transformation scales area or volume. It builds the idea geometrically with animations before any formulas.
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Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra
3Blue1Brown · 6 件のHN推薦3Blue1Brown's chapter on eigenvectors and eigenvalues in the Essence of Linear Algebra series. It builds a visual intuition for what they mean, why an eigenbasis is useful, and ends with a puzzle.
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But what is a Fourier series? From heat flow to drawing with circles | DE4
3Blue1Brown · 4 件のHN推薦3Blue1Brown introduces Fourier series, from the heat equation to drawing arbitrary shapes with rotating circles. It builds a visual intuition for decomposing functions into sine waves.
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But what is the Fourier Transform? A visual introduction.
3Blue1Brown · 16 件のHN推薦3Blue1Brown's animated visual introduction to the Fourier Transform, showing how a signal breaks into frequency components.
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The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?
Reducible · 7 件のHN推薦Reducible's visual walkthrough of the Fast Fourier Transform, motivated by polynomial multiplication. It shows how the FFT's key ideas can be discovered by asking the right questions.
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The more general uncertainty principle, regarding Fourier transforms
3Blue1Brown · 7 件のHN推薦3Blue1Brown shows how the uncertainty principle arises from Fourier transforms. A wave packet cannot be narrow in both position and frequency, so the principle is a property of waves rather than of measurement.