Counting chestnuts from Aofei Temple
Produced by Quantum Bit | Public Account QbitAI

Before getting started with deep learning, you need to learn linear algebra elegantly .

For such a lonely and profound subject, it would be great if the textbooks could play with you.

Thus, the world has the "first intuitive interactive linear algebra book", called "Immersive Linear Algebra".

The images inside are all alive and can move in any posture you like. They can be observed from all directions, which helps to digest difficult theories.

This free book received 1209 hits on Hacker News, and sparked a wave of gratitude for "good people's life of peace":

Open your magic book

How to play with images?

Let’s look at an example from Chapter 3, Vector Dot Product.

If you don't remember what a dot product is:

You see, a beam of light hits the triangle, and then the "desktop" behind the triangle leaves its shadow.

Click Forward to observe the entire process from light emission to shadow generation step by step.

When the image changes, the text explanation below will also change, and what to pay attention to at each step is written in it.

If you feel the 3D image is more vivid, just click the rotate button in the upper left corner and the image will rotate.

Is it still not three-dimensional enough when it rotates?

Each vertex of the triangle can be dragged. Look at the picture above. If you lift a vertex upward, does it look prettier?

In addition, the position of the light source can also be adjusted.

If you need to observe from a special angle, such as a horizontal perspective from the "desktop":

Hold down the right button and drag to adjust the angle.

After leveling, press the rotation button in the upper left corner to feel it:

After observing the image in depth, we can start the mathematical derivation : for example, how to calculate the position of the shadow, so that it will not appear so high above.

In addition, whenever a previously mentioned definition is used in a derivation , there is no need to go back and look it up. Just put the mouse over it and the definition will be displayed:

There is absolutely no reason not to study hard.

Chapter 11

Take a macro look at the chapter distribution, and you’ll have a better appetite.

Chapter 1: Overview

Chapter 2: Vectors

Chapter 3: Dot Product

Chapter 4: Cross Multiplication

Chapter 5: Gaussian Elimination

Chapter 6: The Matrix

Chapter 7: Determinants

Chapter 8: Order

Chapter 9: Linear Mapping

Chapter 10: Eigenvalues ​​and Eigenvectors

Chapter 11: Matrix Decomposition

The author team consists of three people, J. Ström, K. Åström, and T. Akenine-Möller. One of them focuses on mathematics, one on graphics, and one on image coding.

(Maybe) Due to the small number of people, I have been writing from 2013 to now, and there are still two chapters to be continued. The series of my lifetime.

I wish you to finish learning Chapter 9 before Chapter 10 is updated.

Now you can start watching:

http://immersivemath.com/ila/index.html