Foundations of Game Engine Development, Volume 1: Mathematics free ebook download.

Home : Book details

Foundations of Game Engine Development, Volume 1: Mathematics free ebook download

Category:
Mathematics

Views: 68
Likes: 1

Catalogue

Author(s):	Eric Lengyel

Date:	2016	Format:	pdf	Language:	English	ISBN/ASIN:	0985811749
Pages:	200	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	11/3/2024 1:46:32 AM

To download click on link in the Links Table below

Description: Click to see full description

0985811749 pdf
The first volume of Foundations of Game Engine Development discusses the mathematics needed by engineers who work on games or other types of virtual simulations. The book begins with conventional treatments of topics such as linear algebra, transforms, and geometry. Then, it introduces Grassmann algebra and geometric algebra to provide a much deeper understanding of the subject matter and highlight the places where traditional arithmetic with vectors, matrices, quaternions, etc., isn't quite correct. Includes exercises. Chapter 1: Vectors and Matrices 1.1 Vector Fundamentals 1.2 Basic Vector Operations 1.2.1 Magnitude and Scalar Multiplication 1.2.2 Addition and Subtraction 1.3 Matrix Fundamentals 1.4 Basic Matrix Operations 1.4.1 Addition, Subtraction, and Scalar Multiplication 1.4.2 Matrix Multiplication 1.5 Vector Multiplication 1.5.1 Dot Product 1.5.2 Cross Product 1.5.3 Scalar Triple Product 1.6 Vector Projection 1.7 Matrix Inversion 1.7.1 Identity Matrices 1.7.2 Determinants 1.7.3 Elementary Matrices 1.7.4 Inverse Calculation 1.7.5 Inverses of Small Matrices Chapter 2: Transforms 2.1 Coordinate Spaces 2.1.1 Transformation Matrices 2.1.2 Orthogonal Transforms 2.1.3 Transform Composition 2.2 Rotations 2.2.1 Rotation About a Coordinate Axis 2.2.2 Rotation About an Arbitrary Axis 2.3 Reflections 2.4 Scales 2.5 Skews 2.6 Homogeneous Coordinates 2.7 Quaternions 2.7.1 Quaternion Fundamentals 2.7.2 Rotations With Quaternions Chapter 3: Geometry 3.1 Triangle Meshes 3.2 Normal Vectors 3.2.1 Calculating Normal Vectors 3.2.2 Transforming Normal Vectors 3.3 Lines and Rays 3.3.1 Parametric Lines 3.3.2 Distance Between a Point and a Line 3.3.3 Distance Between Two Lines 3.4 Planes 3.4.1 Implicit Planes 3.4.2 Distance Between a Point and a Plane 3.4.3 Reflection Through a Plane 3.4.4 Intersection of a Line and a Plane 3.4.5 Intersection of Three Planes 3.4.6 Intersection of Two Planes 3.4.7 Transforming Planes 3.5 Plucker Coordinates 3.5.1 Implicit Lines 3.5.2 Homogeneous Formulas 3.5.3 Transforming Lines Chapter 4: Advanced Algebra 4.1 Grassmann Algebra 4.1.1 Wedge Product 4.1.2 Bivectors 4.1.3 Trivectors 4.1.4 Algebraic Structure 4.1.5 Complements 4.1.6 Antivectors 4.1.7 Antiwedge Product 4.2 Projective Geometry 4.2.1 Lines 4.2.2 Planes 4.2.3 Join and Meet 4.2.4 Line Crossing 4.2.5 Plane Distance 4.2.6 Summary and Implementation 4.3 Matrix Inverses 4.4 Geometric Algebra 4.4.1 Geometric Product 4.4.2 Vector Division 4.4.3 Rotors 4.5 Conclusion

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3275294	Book	https://nitroflare.com/view/DA4011A91637...		15.00	eternal

Tags: Development Engine Foundations Game Mathematics Volume

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment: