Mathematics for Game Programming and Computer Graphics

Explore the essential mathematics for creating, rendering, and manipulating 3D virtual environments

Penny de Byl

BIRMINGHAM—MUMBAI

Mathematics for Game Programming and Computer Graphics

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First published: November 2022

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Life-long learning has always been my goal. But I couldn’t have done it alone. I’d like to thank Adrian who has been my friend, technical reviewer, and code tester throughout. He possesses the attention to detail I lack. And, I might add, if the code doesn’t work – it’s his fault. Next, I’d like to thank my wonderful daughter, Tabytha, who is in her first year of studying theoretical mathematics and computer science at university. She’s been a great sounding board in helping me understand mathematical notations that I still struggle with. A mother could not be prouder than I am of her.

– Penny de Byl

Contributors

About the author

Penny de Byl is a full-stack developer with an honors degree in graphics and a PhD in artificial intelligence for games. She has a passion for teaching, and has been teaching games development and computer graphics for over 25 years at universities in Australia and Europe. Her best-selling textbooks, including Holistic Game Development with Unity, are used in over 100 institutions. She has won numerous awards for teaching, including an Australian Government Excellence in Teaching Award and the Unity Mobile Game Curriculum Competition. Her approach to teaching computer science and related fields is project-based, giving you hands-on workshops you can immediately get your teeth into. The full range of her teaching interests can be found at h3dlearn.com.

I’d like to thank the wonderful publishing crew and editors at Packt Publishing, who’ve been attentive, patient, highly professional, and available throughout the writing process.

About the reviewers

Amit Verma is a game developer and WebGL graphics engineer from Dehradun, Uttarakhand, who has developed web versions of the Pixlr photo editor. He has rich experience in the gaming industry, with development experience of more than 60 games and 30 WebGL applications, using Unity3D and WebGL. His passion and curiosity toward gaming technologies and their challenges have helped his clients to launch games on various platforms, such as web, mobile, and consoles. He holds a BTech degree in computer science and engineering from Uttar Pradesh Technical University, where he studied computer science and graphics programming. Currently, he is working at Excellarate as a lead WebGL graphics engineer for the development of metaverse content using WebGL.

I would like to thank my best friend, my wife, and the love of my life, Simran Gogna, for supporting me in my hobbies and professional career. Her selfless love and wise advice gave me the strength to reach my goals. I also wish to thank my mentors, Sumeet Arora and Shiwani Arora, for providing inspiration and direction in my early career days.

When Soumya Mondal is not saving the world, he cosplays as a student at the Technical University of Munich and as a visual AI researcher at a start-up. He has shipped a few games, raising awareness of social issues, and has a strong belief in the power of games as a medium. In his free time, he travels and runs.