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Essential Math for Game Devs.

A visual explanation book that will help you understand essential mathematical concepts applicable to game development.

The Dot Product’s behaviour.

The nature of Cross Product.

Quaternions and vertices.

Euler angles and gimbal lock.

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✨If you are a student, a technical artist or a Unity enthusiast, the Visualizing Equations book can be helpful! Elevate your understanding of mathematical equations by creating visualization tools using Unity’s ‘EditorWindow’ class.✨

This book is designed to assist Unity developers in creating effective software tools for visualizing equations in their projects. Through a combination of theory and practical examples, readers will learn how to apply mathematical concepts and programming tools to create dynamic and engaging visualizations that illustrate mathematical concepts in a clear and accesible way.

This book covers essential concepts in vector mathematics and geometric transformations in Unity. It includes explanations and practical implementations for the Dot Product, Cross Product, Quaternions, and Rotation Matrices/Euler Angles. Using clear C# demonstrations and leveraging Unity’s EditorWindow, students gain a comprehensive understanding of these concepts and their applications

1. Understanding Dot Product.
  • It covers all the math needed to understand the geometry of the dot product in a simple and easy-to-understand way.
  • Offers a C# implementation for visualizing the geometry of the dot product, along with straightforward examples.
  • Create a versatile tool for comprehending the relationships between vectors.
  • Enhance your comprehension of the EditorWindow and its methods.
2. Understanding Cross Product.
  • It explains the mathematical properties of the cross product, enhancing your understanding of three-dimensional geometry.
  • Offers a C# implementation that enables a profound understanding of vector relations and linear applications.
  • Provides a versatile tool for comprehending the geometry of the cross product and serves as a cornerstone for developing more advanced tools.
  • Elevate your utilization of EditorWindow with more advanced examples.
3. Understanding the Quaternions.
  • Simple and comprehensive introduction to quaternions and complex numbres with easy-to-follow examples, so you can apply them immediately.
  • C# implementation to properly comprehend algebraic results that simplify the application of rotations in 3D space.
  • Provides a tool to directly visualize the usage of rotation quaternions on group of vectors.
  • Offers an intuitive understanding of how we can use EditorWindow methods to perform transformation on objects.
4. Understanding Rotation matrices and Euler angles.
  • Explore rotation matrices and Euler angles with our intuitive and visually engaging introduction!
  • Achieve precision and Control: Harness the C# implementation for crafting impeccable rotation sequences to transform object orientations in space
  • Elevate your understanding: Visualiza rotations with unparalleled clarity using Gimbal-enabled tool
  • Explore how EditorWindow Masters the art of projecting objects in space!
Trusted in our books
What do readers think about the book?
Nadina
★★★★★
I’m greatly enjoying this book. I’ve gotten through the first project so far and didn’t run into any issues. The book is helping me get a better grasp of these mathematical concepts and is a great intro to tool development in Unity, something I had never done before. The format of the document is visually appealing and makes the content easy to follow and understand. Great value for the price, very unique book, I wish to see more of this type of book.
Jetguy
★★★★★
I like the approach they give to the book, I have the Shaders book and this one and the way they approach the topics are very practical and more “simple” unlike other technical books. Each explanation is well done in conjunction with its example to emphasize the subject matter. I recommend this book to anyone who finds it difficult to understand the subject and even more so applying it to Unity because it is one of the must-have books in mathematical->logical learning.
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