Mathematics of Game Development

ISBN-13: 9781032701424 / Twarda / 2024 / 320 str.

Virginia Serious Game Instit Jacob (George Mason University

Opis

This introductory textbook introduces students to mathematical concepts and helps them to understand how they apply to the field of game development. The book covers mathematical concepts commonly used in game development while providing application of the concepts in the industry-standard Unity game engine.

Spis treści

Introduction. Chapter 1. Unity Fundamentals Animal House + Falling Balls. Chapter 2. Programming Fundamentals Bouncy Box. Chapter 3. Position of Game Objects in 2D | Points on a Coordinate Plane Platformer. Chapter 4. Distance | Right Triangles, Pythagorean Theorem, and the Distance Formula Bombs Away. Chapter 5. Field of View | Pi and Finding Angles using SIN, COS, TAN Avoid Detection. Chapter 6. Simulating Physics in a Virtual World | Matrices and Vectors Critters. Chapter 7. Sinusoidal Functions | Sine and Cosine Headbob. Chapter 8. Directionality | Dot Product Speed Racer. Chapter 9. Orthogonal Directionality | Cross Product Chapter 10. Reflections | Vector Projection and Reflection The Octagon. Conclusion.

O autorze

Jacob Enfield is a research faculty member at George Mason University where he teaches game programming in the Computer Game Design program and conducts research at the Virginia Serious Game Institute. Jacob has worked professionally as an educational game developer and has taught a wide range of subjects including computer science, game development, virtual reality, multimedia production, machine learning, artificial intelligence, and mathematics.