3Blue1Brown

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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

The essence of calculus

3Blue1Brown

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

Vectors | Chapter 1, Essence of linear algebra

3Blue1Brown

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

Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra

3Blue1Brown

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

Linear transformations and matrices | Chapter 3, Essence of linear algebra

3Blue1Brown

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

Bayes theorem, the geometry of changing beliefs

3Blue1Brown

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

Matrix multiplication as composition | Chapter 4, Essence of linear algebra

3Blue1Brown

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

But what is a GPT? Visual intro to Transformers | Chapter 5, Deep Learning

3Blue1Brown

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

The medical test paradox, and redesigning Bayes' rule

3Blue1Brown

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

X-rays "faster" than the speed of light, and more refractive index questions | Optics puzzles part 4

3Blue1Brown

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

What "Follow Your Dreams" Misses | Harvey Mudd Commencement Speech 2024

3Blue1Brown

3Blue1Brown

Grant Sanderson gives an inspiring commencement address discussing the intersections of personal passions, adding value to others, and navigating a changing world.