Basic Math for Game Development with Unity 3D: A Beginner's Guide to Mathematical Foundations

Description

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 developmentApply mathematical concepts to modern video game functionality, such as spherical and box collidersImplement 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 Front Matter ....Pages i-xviii Introduction and Learning Environment (Kelvin Sung, Gregory Smith)....Pages 1-29 Intervals and Bounding Boxes (Kelvin Sung, Gregory Smith)....Pages 31-85 Distances and Bounding Spheres (Kelvin Sung, Gregory Smith)....Pages 87-114 Vectors (Kelvin Sung, Gregory Smith)....Pages 115-203 Vector Dot Products (Kelvin Sung, Gregory Smith)....Pages 205-279 Vector Cross Products and 2D Planes (Kelvin Sung, Gregory Smith)....Pages 281-362 Conclusion (Kelvin Sung, Gregory Smith)....Pages 363-396 Back Matter ....Pages 397-403