Mathematics for Game Programming and Computer Graphics: Explore the essential mathematics for creating, rendering, and manipulating 3D virtual environ

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

Key Features:

• 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

Book Description:

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.

What You Will Learn:

• 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

Who this book is for:

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.

一本全面指南，以實例介紹遊戲和電腦圖形中使用的基礎3D數學原理

主要特點：
- 熟悉描述、模擬和渲染3D創作所需的基本數學知識
- 使用Python、Pygame和PyOpenGL構建和操作3D動畫環境
- 使用OpenGL着色器語言開發頂點和片段着色器以加快渲染速度

書籍描述：
數學是圖形和遊戲開發中的基本技能，特別是如果您想要了解實時計算機圖形的生成以及對對象和環境進行詳細操作的方法。Python與Pygame和PyOpenGL結合使用，為您提供了探索這些功能的機會，揭示計算機如何生成和操作3D環境。

《遊戲編程和電腦圖形的數學》是一本全面的指南，通過一系列基於問題的實際練習，探索繪製圖形線條和形狀、應用向量和頂點、構建和渲染網格以及使用頂點着色器等方面的想法。通過利用Python、Pygame和PyOpenGL，您將能夠創建自己的基於數學的引擎和API，並在整個過程中用於構建應用程序。

通過閱讀這本以圖形為重點的書籍，您將深入了解基本數學對於創建、渲染和操作3D虛擬環境的重要性，並了解當今頂尖圖形和遊戲引擎背後的秘密。

學到什麼：
- 開始使用Python、Pycharm、Pygame和PyOpenGL
- 嘗試不同的圖形API繪圖命令
- 複習基本三角函數及其在3D環境中的重要性
- 應用向量和矩陣來移動、定位和縮放3D物體
- 使用紋理、顏色、着色和照明來渲染3D物體
- 使用頂點着色器進行更快的基於GPU的渲染

適合讀者：
本書適合希望提升與電腦圖形和電腦遊戲相關的3D數學技能的程序員。需要具備高中水平的數學知識和對面向對象語言的工作理解，以理解本書中的內容。