Game Mathematics that Supports Game Engines

3D game programming,
Knowing the essence will help you do better! 🎮

game programming,
Want to go one step further?

hello?
My name is Deuk-Woo Lee , and I teach game programming to students atthe Game Content School of Cheonggang Cultural Industry University .

Our students produce excellent games through their graduation projects every year, earning high praise from industry professionals in the game development field.

However, after gaining a certain level of proficiency in commercial game engines like Unreal and Unity, many students become bored with the repetitive game logic creation patterns. To further develop their skills, they want to delve deeper into topics like game engine structure and rendering pipelines .

However, in order to master these contents, you must understand the mathematical principles that form the basis of the game system and how to utilize them.

The core of the game system,
Don't miss out on game math.

People often assume they understand the in-depth concepts of rendering with DirectX or OpenGL, rather than using a commercial game engine. However, when I spoke with students who had actually created renderers with DirectX, I often found that they didn't fully understand the mathematics used in the example code.

To address these issues, we designed a math curriculum that allows for sophisticated 3D graphics using only math and WinAPI, without the use of graphics libraries such as DirectX.

Covers the core of the actual game school curriculum.

We have summarized the core content of the practical lecture curriculum that is conducted in depth over two semesters at school.
For those of you who have been curious about the principles of game composition and those who want to deepen your understanding of game mathematics, we hope this Inflearn lecture will be a great learning opportunity.

The game's composition principles
If you are a developer who wants to know!

_{For efficient game production
I want to reinforce my math knowledge
game developer}

_{The basis of the game engine
I'm curious about game math
programmer}

_{Principles of vector mathematics
I want to know for sure
technical artist}

This course is designed for developers who are curious about the principles of game composition.

Students who took the class reported that they had no major difficulty understanding everything from vectors to perspective projection, with a math level comparable to a first-year high school curriculum. However, regardless of the level of difficulty, it takes considerable time to fully grasp the entire process of building a stable 3D system based on mathematics and composing a screen with a sense of perspective.

This course is designed to help you understand the process of building a game's virtual space, starting from the most fundamental system, the axiom of numbers. Upon fully understanding this course, you'll be able to design and implement your own formulas, rather than simply copy-pasting code from the field.

The basic physical strength of game mathematics
You can raise it.

Upon completing this course, you'll understand the underlying mathematics of game engines and be able to create programs that utilize it . You'll gain the theoretical and practical skills to implement detailed features like perspective interpolation, triangle clipping, hidden surface removal, and depth buffering, all of which the GPU automatically handles during game development.

Below is an example program created solely using WinAPI by a student who completed the course. He imported a 3D modeling file, created a hierarchical character, and implemented all the mathematical theory and related functions necessary to control it.

_{Once you understand game math, you can control/implement 3D graphics algorithms using only WinAPI.}

Learn in 3 steps
The A to Z of Game Math!

With lecture notes
Increase your comprehension.

_{Fundamental Mathematics that Supports Games - Vectors}

_{Game Content Production Principles - Texture Mapping}

This lecture will be accompanied by lecture notes .
We've organized all the content using a formula editor so that you can learn about mathematical principles through various sample images used in the lecture notes and prove the formulas that make up the basic principles of the system one by one.

Frequently Asked Questions
Check it out.

Created this course
Introducing the knowledge sharer.

Discord server for learners

We introduce lectures that are even better when viewed together .

Understanding Game Mathematics
This course summarizes your overall understanding of game mathematics! Free lecture

_{Although it's a bit off topic, there are also PBR-related lectures on YouTube, so please check them out. 🙂}

Cheonggang Cultural Industry University is

Cheonggang Cultural Industry University, founded by the late Lee Yeon-ho, founder of Namyang Aloe (now Univera), is a school dedicated to the noble educational ideals of loving people and fostering true love, based on the values of love for nature, love for humanity, and love for culture.

www.ck.ac.kr