3Blue1Brown
552.7m views
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12 summaries
My name is Grant Sanderson. Videos here cover a variety of topics in math, or adjacent fields like physics and CS, all with an emphasis on visualizing the core ideas. The goal is to use animation to help elucidate and motivate otherwise tricky topics, and for difficult problems to be made simple with changes in perspective. For more information, other projects, FAQs, and inquiries see the website: https://www.3blue1brown.com
Summaries
The essence of calculus
3Blue1Brown
Grant introduces the Essence of Calculus video series, aiming to unveil the core concepts of calculus in a visual and intuitive manner.
Vectors | Chapter 1, Essence of linear algebra
3Blue1Brown
A detailed exploration of vectors from the perspectives of physics, computer science, and mathematics, including vector operations.
Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra
3Blue1Brown
The video delves into the concepts of vector coordinates, linear combinations, basis vectors, and spans in linear algebra.
Linear transformations and matrices | Chapter 3, Essence of linear algebra
3Blue1Brown
The video explains the concept of linear transformations, how they relate to matrices, and matrix-vector multiplication in the context of two dimensions.
Bayes theorem, the geometry of changing beliefs
3Blue1Brown
The video explains Bayes' theorem, its importance in various fields, and how to apply it to update beliefs based on new evidence.
Matrix multiplication as composition | Chapter 4, Essence of linear algebra
3Blue1Brown
The video explains linear transformations, matrix representation of these transformations, and the mechanics and geometric interpretation of matrix multiplication, including the composition of transformations.
But what is a GPT? Visual intro to Transformers | Chapter 5, Deep Learning
3Blue1Brown
A detailed explanation of GPT, focusing on the transformer neural network model and how it processes data to generate text.
The medical test paradox, and redesigning Bayes' rule
3Blue1Brown
The video explores the paradoxical nature of medical test accuracy and introduces an alternate version of Bayes rule for better understanding test results.
X-rays "faster" than the speed of light, and more refractive index questions | Optics puzzles part 4
3Blue1Brown
The video is a response to questions about the index of refraction, explaining concepts like light bending in a medium, birefringence, and phase velocity.
What "Follow Your Dreams" Misses | Harvey Mudd Commencement Speech 2024
3Blue1Brown
Grant Sanderson gives an inspiring commencement address discussing the intersections of personal passions, adding value to others, and navigating a changing world.