Mathematics for Game Programming and Computer Graphics

Explore the essential mathematics for creating, rendering, and manipulating 3D virtual environments. This book combines theoretical explanations and practical examples to explore the fundamental concepts surrounding mathematics in game programming and computer graphics. This book will help you to uncover the secrets behind today's top graphics and game engines and apply these ideas in your own development workflows.

A comprehensive guide to learning fundamental 3D mathematical principles used in games and computer graphics by example

• Get acquainted with the essential mathematics needed to describe, simulate, and render 3D creations
• Construct and manipulate 3D animated environments using Python, Pygame, and PyOpenGL
• Develop vertex and fragment shaders in OpenGL shader language to speed up rendering

Mathematics is an essential skill when it comes to graphics and game development, particularly if you want to understand the generation of real-time computer graphics and the manipulation of objects and environments in a detailed way. Python, together with Pygame and PyOpenGL, provides you with the opportunity to explore these features under the hood, revealing how computers generate and manipulate 3D environments.

Mathematics for Game Programming and Computer Graphics is an exhaustive guide to getting “back to the basics” of mathematics, using a series of problem-based, practical exercises to explore ideas around drawing graphic lines and shapes, applying vectors and vertices, constructing and rendering meshes, and working with vertex shaders. By leveraging Python, Pygame, and PyOpenGL, you'll be able to create your own mathematics-based engine and API that will be used throughout to build applications.

By the end of this graphics focussed book, you'll have gained a thorough understanding of how essential mathematics is for creating, rendering, and manipulating 3D virtual environments and know the secrets behind today's top graphics and game engines.

• Get up and running with Python, Pycharm, Pygame, and PyOpenGL
• Experiment with different graphics API drawing commands
• Review basic trigonometry and how it's important in 3D environments
• Apply vectors and matrices to move, orient, and scale 3D objects
• Render 3D objects with textures, colors, shading, and lighting
• Work with vertex shaders for faster GPU-based rendering

This book is for programmers who want to enhance their 3D mathematics skills relating to computer graphics and computer games. Knowledge of high school–level mathematics and a working understanding in an object-orientated language is needed to grasp the contents present in this book.