Use Unity-based examples to understand fundamental mathematical concepts and see how they are applied when building modern video game functionality. You will gain the theoretical foundation you need, and you will know how to examine and modify an implementation.

This book covers points in a 3D Cartesian coordinate system, and then discusses vectors and the details of dot and cross products. Basic mathematical foundations are illustrated through Unity-based example implementations. Also provided are examples showing how the concepts are applied when implementing video game functionality, such as collision support, motion simulations, autonomous behaviors, shadow approximations, and reflection off arbitrary walls.

Throughout this book, you learn and examine the concepts and their applications in a game engine.

What You Will Learn

• Understand the basic concepts of points and vectors and their applications in game development
• Apply mathematical concepts to modern video game functionality, such as spherical and box colliders
• Implement autonomous behaviors, including following way points, facing a target, chasing an object, etc.

Who This Book is For

Beginners, and those interested in the implementation of interactive games, who need a basic mathematical background or a refresher with modern examples

使用基于Unity的例子来理解基本的数学概念，看看它们在构建现代视频游戏功能时是如何应用的。你将获得你所需要的理论基础，你将知道如何检查和修改一个实现。

本书涵盖了三维笛卡尔坐标系中的点，然后讨论了向量以及点积和交叉积的细节。通过基于Unity的实例实现，说明了基本的数学基础。还提供了一些例子，说明在实现视频游戏功能时如何应用这些概念，如碰撞支持、运动模拟、自主行为、阴影近似和任意墙面的反射。

在本书中，你将学习和研究这些概念以及它们在游戏引擎中的应用。

你将学到的内容

理解点和向量的基本概念及其在游戏开发中的应用

将数学概念应用于现代视频游戏功能，如球形和箱形碰撞器

实现自主行为，包括跟随路径点、面对目标、追赶物体等。

本书适用对象

初学者，以及对实现互动游戏感兴趣的人，他们需要基本的数学背景或用现代的例子来复习一下