國立虎尾科技大學 |

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

Record Type:	Language materials, printed : 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:	Wai, Clover.
Published:	Berkeley, CA :Apress : : 2023.,
Description:	xvi, 447 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Mathematical Applications in Computer Science. -
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:

815331
Mathematical Applications in Computer Science.

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 /
LDR:02984nam a2200337 a 4500 001 1120586
003 DE-He213
005 20231220004207.0
006 m d
007 cr nn 008maaau
008 240612s2023 cau s 0 eng d
020 $a 9781484298855 $q (electronic bk.)
020 $a 9781484298848 $q (paper)
024 7 $a 10.1007/978-1-4842-9885-5 $2 doi
035 $a 978-1-4842-9885-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.76.C672 $b S85 2023
072 7 $a UMK $2 bicssc
072 7 $a COM012040 $2 bisacsh
072 7 $a UMK $2 thema
082 0 4 $a 794.8151 $2 23
090 $a QA76.76.C672 $b S958 2023
100 1 $a Sung, Kelvin. $3 1070195
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.
250 $a Second edition.
260 $a Berkeley, CA : $b Apress : $b Imprint: Apress, $c 2023.
300 $a xvi, 447 p. : $b ill., digital ; $c 24 cm.
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.
630 0 0 $a Unity (Electronic resource) $3 796824
650 2 4 $a Mathematical Applications in Computer Science. $3 815331
650 1 4 $a Game Development. $3 1114505
650 0 $a Video games $x Programming $x Mathematics. $3 1435950
700 1 $a Wai, Clover. $3 1435949
700 1 $a Smith, Gregory. $3 1192113
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-1-4842-9885-5
950 $a Professional and Applied Computing (SpringerNature-12059)