Mathematics For Computer Games Development Using Unity (Updated 6/2022)

您知道计算机游戏使用数学来执行每一项任务，从渲染到动画，从物理到人工智能吗？数学无处不在。对数学的基本理解在每个职业中都是至关重要的，在游戏开发中尤为重要。它支持游戏引擎执行的所有主要操作。没有它，您甚至无法在屏幕上移动角色。渴望学习更多并积累数学知识以提高游戏开发技能？那么本课程适合您。在本课程中，您将构建自己的 C# 类来处理 2D 和 3D 空间的几何构造，这将加深您对定位和移动游戏对象的理解。简而言之，您将构建自己的数学库来复制 Unity 的一些 Vector2、Vector3、Matrix4x4 和一些 Mathf 方法。在整个过程中，我们将使用 Unity 游戏引擎来帮助强调数学概念。加入 Penny de Byl 博士，她使用她在游戏和游戏领域超过 25 年的教学、研究和工作中积累的国际知名的整体教学风格和专业知识介绍游戏开发数学计算机图形学。在整个课程中，您将参加实践研讨会，这些研讨会旨在教您在计算机游戏机制和视觉编程中使用的重要数学技术。在课程期间，我们将构建一个游戏，不仅使用我们编写的代码在屏幕上四处移动 2D 和 3D 对象，但要玩游戏，您必须使用您的点和向量知识来解决难题，这将加强您的学习。您还将构建许多迷你项目以应用数学概念并了解它们在游戏环境中的工作方式。学习如何编程和使用：按位运算、位打包和位板2D 和 3D 空间点向量矩阵从一个坐标系到另一个坐标系的映射定位对象导航角度插值四元数学生对此有何评论课程：精彩课程。可能是迄今为止我在 Udemy 上找到的最有用的课程。佩妮是一位了不起的教练。即使在第一部分结束时，我也学到了非常有价值的信息，我可以将这些信息应用到我的游戏中。在项目的早期，但已经学到了足够的东西，让购买价格变得物有所值。一如既往，教授提供了一个非常好的、清晰的课程主题学习。她知识渊博，可以将自己的知识传授给学生。

A Beginner’s Guide to Essential Mathematics, Data Structures and Algorithms used in Game Programming applied in Unity

What you’ll learn
How to use bitwise operations to optimise processing and storage in games.
Everything there is to know about vector mathematics and how to navigate in 2D and 3D space.
The principles and practice behind collision detection with lines, line segments and ray casting.
The beauty of affine transformations and the fundamentals in transforming game objects.
What a quaternion is and how it is used to rotate game objects.
How to build a mathematics library in C# from scratch.

Requirements
Familiarity with the Unity Game Engine
Confidence in programming with C#
Mathematics skills to high school level (basic trigonometry and algebra).

Description
Did you know computer games use mathematics to perform every single task, from rendering to animation and physics to AI? Mathematics is everywhere. A fundamental understanding of mathematics is critical in every occupation and nowhere is it more important than in games development. It underpins all primary operations performed by a game engine. You can’t even move a character across the screen without it. Keen to learn more and build up your knowledge in mathematics to improve your game development skills? Then this course is for you.In this course you will build your own C# classes to work with the geometrical constructs of 2D and 3D space that will develop your understanding of positioning and moving game objects. In short you will build your own maths library to replicate some of Unity’s Vector2, Vector3, Matrix4x4 and some Mathf methods. Throughout, we will be using the Unity Game Engine to help emphasise the mathematics concepts.Join Dr Penny de Byl as she introduces game development mathematics using her internationally acclaimed holistic teaching style and expertise from over 25 years of teaching, research and work in games and computer graphics. Through-out the course you will follow along with hands-on workshops designed to teach you the vital mathematical techniques used in programming computer game mechanics and visuals.During the course we will be building a game that not only uses the code we’ve written to move 2D and 3D objects around on the screen, but to play the game you will have to use your knowledge of points and vectors to solve puzzles that will reinforce your learning. You will also build numerous mini projects to apply mathematical concepts and see how they work in games environments.Learn how to program and work with:Bitwise Operations, Bit Packing and Bitboards2D and 3D SpacePointsVectorsMatricesMapping from one coordinate system to anotherPositioning ObjectsNavigationAnglesInterpolationQuaternionsWhat students are saying about this course:Brilliant course. Might be the most helpful course I’ve found on Udemy so far. Penny is an amazing instructor. Even by the end of the first section learned super valuable information that I can apply to my games.Early in the program but already learned enough to make the purchase price worthwhile.As always, the professor delivers a great, clear course on a badly needed subject to learn. She is so knowledgeable and can impart her knowledge to her students. I recommend all her courses and her YouTube channel.