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3D math primer for graphics and game development

Author: Fletcher Dunn; Ian Parberry
Publisher: Plano, Tex. : Wordware Pub., ©2002.
Series: Wordware game math library.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Dunn, Fletcher.
3D math primer for graphics and game development.
Plano, Tex. : Wordware Pub., ©2002
(DLC) 2002004615
(OCoLC)49415670
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Fletcher Dunn; Ian Parberry
ISBN: 0585425434 9780585425436
OCLC Number: 50790686
Description: 1 online resource (xi, 429 pages) : illustrations.
Contents: What is 3D Math? --
Why You Should Read This Book --
What You Should Know Before Reading This Book --
The Cartesian Coordinate System --
1D Mathematics --
2D Cartesian Mathematics --
From 2D to 3D --
Multiple Coordinate Spaces --
Why Multiple Coordinate Spaces? --
Some Useful Coordinate Spaces --
Nested Coordinate Spaces --
Specifying Coordinate Spaces --
Coordinate Space Transformations --
Vectors --
Vector--A Mathematical Definition --
Vector--A Geometric Definition --
Vectors vs. Points --
Operations on Vectors --
Linear Algebra vs. What We Need --
Typeface Conventions --
The Zero Vector --
Negating a Vector --
Vector Magnitude (Length) --
Vector Multiplication by a Scalar --
Normalized Vectors --
Vector Addition and Subtraction --
The Distance Formula --
Vector Dot Product --
Vector Cross Product --
Linear Algebra Identities --
A Simple 3D Vector Class --
Class Interface --
Class Vector3 Definition --
Design Decisions --
Introduction to Matrices --
Matrix--A Mathematical Definition --
Matrix--A Geometric Interpretation --
Matrices and Linear Transformations --
Transforming an Object vs. Transforming the Coordinate Space --
Rotation --
Scale --
Orthographic Projection --
Reflection --
Shearing --
Combining Transformations --
Classes of Transformations --
More on Matrices --
Determinant of a Matrix --
Inverse of a Matrix --
Orthogonal Matrices --
4x4 Homogenous Matrices --
Orientation and Angular Displacement in 3D --
What is Orientation? --
Matrix Form --
Euler Angles --
Quaternions --
Comparison of Methods.
Series Title: Wordware game math library.
Responsibility: Fletcher Dunn and Ian Parberry.

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