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Basic math for game development with Unity 3D = a beginner's guide to mathematical foundations /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Basic math for game development with Unity 3D/ by Kelvin Sung, Gregory Smith ; figures and illustrations : Clover Wai.
Reminder of title:	a beginner's guide to mathematical foundations /
Author:	Sung, Kelvin.
other author:	Smith, Gregory.
Published:	Berkeley, CA :Apress : : 2023.,
Description:	xvi, 447 p. :ill., digital ;24 cm.
[NT 15003449]:	Chapter 1: Introduction and Learning Environment -- Chapter 2: Intervals and Bounding Boxes -- Chapter 3: Distances and Bounding Spheres -- Chapter 4: Vectors -- Chapter 5: Vector Dot Products -- Chapter 6: Vector Cross Products and 2D Planes -- Chapter 7: Axis Frames and Vector Components -- Chapter 8: Quaternions and Rotations -- Chapter 9: Conclusion.
Contained By:	Springer Nature eBook
Subject:	Video games - Programming -
Online resource:	https://doi.org/10.1007/978-1-4842-9885-5
ISBN:	9781484298855

Basic math for game development with Unity 3D = a beginner's guide to mathematical foundations /
Sung, Kelvin.

Basic math for game development with Unity 3Da beginner's guide to mathematical foundations /[electronic resource] :by Kelvin Sung, Gregory Smith ; figures and illustrations : Clover Wai. - Second edition. - Berkeley, CA :Apress :2023. - xvi, 447 p. :ill., digital ;24 cm.

Chapter 1: Introduction and Learning Environment -- Chapter 2: Intervals and Bounding Boxes -- Chapter 3: Distances and Bounding Spheres -- Chapter 4: Vectors -- Chapter 5: Vector Dot Products -- Chapter 6: Vector Cross Products and 2D Planes -- Chapter 7: Axis Frames and Vector Components -- Chapter 8: Quaternions and Rotations -- Chapter 9: Conclusion.

This book will teach you fundamental mathematical concepts using Unity-based custom examples, explaining the implementations and demonstrating how these concepts are applied in building modern video game functionality. You will learn the theoretical foundation of each concept, and then interact, examine, and modify the implementation to inspect the effects. Basic Math for Game Development with Unity 3D begins by explaining points in the 3D Cartesian Coordinate system. From there, you'll gain insight into vectors and details of dot and cross products, quaternions, rotation and decomposition of vectors. These basic mathematical foundations are illustrated through Unity-based example implementations. Associated with these concept presentations are separate examples of how the concepts are applied in creating typical video game functionality, such as collision support, motion simulations, autonomous behaviors, shadow approximations, and reflections off surfaces with arbitrary orientations. After completing this book, you will have a thorough understanding of core mathematical concepts and how they are used to create compelling gameplay. You will: Understand the basic concepts of points and vectors, and their applications in game development Grasp the details of autonomous behaviors such as facing a target, following and chasing an object, and more Apply mathematical concepts in implementing modern video game functionality such as ray casting, collision, and motion control.

ISBN: 9781484298855

Standard No.: 10.1007/978-1-4842-9885-5doiSubjects--Uniform Titles:

Unity (Electronic resource)
Subjects--Topical Terms:

3454507
Video games
--Programming

LC Class. No.: QA76.76.C672 / S85 2023

Dewey Class. No.: 794.8151

Basic math for game development with Unity 3D = a beginner's guide to mathematical foundations /
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245 1 0 $a Basic math for game development with Unity 3D $h [electronic resource] : $b a beginner's guide to mathematical foundations / $c by Kelvin Sung, Gregory Smith ; figures and illustrations : Clover Wai.
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505 0 $a Chapter 1: Introduction and Learning Environment -- Chapter 2: Intervals and Bounding Boxes -- Chapter 3: Distances and Bounding Spheres -- Chapter 4: Vectors -- Chapter 5: Vector Dot Products -- Chapter 6: Vector Cross Products and 2D Planes -- Chapter 7: Axis Frames and Vector Components -- Chapter 8: Quaternions and Rotations -- Chapter 9: Conclusion.
520 $a This book will teach you fundamental mathematical concepts using Unity-based custom examples, explaining the implementations and demonstrating how these concepts are applied in building modern video game functionality. You will learn the theoretical foundation of each concept, and then interact, examine, and modify the implementation to inspect the effects. Basic Math for Game Development with Unity 3D begins by explaining points in the 3D Cartesian Coordinate system. From there, you'll gain insight into vectors and details of dot and cross products, quaternions, rotation and decomposition of vectors. These basic mathematical foundations are illustrated through Unity-based example implementations. Associated with these concept presentations are separate examples of how the concepts are applied in creating typical video game functionality, such as collision support, motion simulations, autonomous behaviors, shadow approximations, and reflections off surfaces with arbitrary orientations. After completing this book, you will have a thorough understanding of core mathematical concepts and how they are used to create compelling gameplay. You will: Understand the basic concepts of points and vectors, and their applications in game development Grasp the details of autonomous behaviors such as facing a target, following and chasing an object, and more Apply mathematical concepts in implementing modern video game functionality such as ray casting, collision, and motion control.
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