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3D Math Primer for Graphics and Game Development by Fletcher Dunn (2011, Hardcover)

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The book has 846 pages and is published by A + K Peter's, The Limited in 2011. Whether you are a beginner or an experienced developer, this textbook is a valuable resource for anyone interested in these fields.

About this product

Product Identifiers

PublisherA + K Peter's, The Limited

ISBN-101568817231

ISBN-139781568817231

eBay Product ID (ePID)102850295

Product Key Features

Number of Pages846 Pages

LanguageEnglish

Publication Name3d Math Primer for Graphics and Game Development

SubjectProgramming / Games, Computer Graphics, General, Recreations & Games, Discrete Mathematics

Publication Year2011

TypeTextbook

Subject AreaMathematics, Computers

AuthorFletcher Dunn

FormatHardcover

Dimensions

Item Height1.6 in

Item Weight70.5 Oz

Item Length9.5 in

Item Width7.9 in

Additional Product Features

Edition Number2

Intended AudienceCollege Audience

LCCN2010-053535

Dewey Edition22

Reviews"With solid theory and references, along with practical advice borne from decades of experience, all presented in an informal and demystifying style, Dunn & Parberry provide an accessible and useful approach to the key mathematical operations needed in 3D computer graphics." --Eric Haines, author of Real-Time Rendering "The book describes the mathematics involved in game development in a very clear and easy to understand way, layered on the practical background of years of game engine programming experience." --Wolfgang Engel, editor of GPU Pro, "With solid theory and references, along with practical advice borne from decades of experience, all presented in an informal and demystifying style, Dunn & Parberry provide an accessible and useful approach to the key mathematical operations needed in 3D computer graphics." "Eric Haines, author of Real-Time Rendering "The book describes the mathematics involved in game development in a very clear and easy to understand way, layered on the practical background of years of game engine programming experience." "Wolfgang Engel, editor of GPU Pro, "With solid theory and references, along with practical advice borne from decades of experience, all presented in an informal and demystifying style, Dunn & Parberry provide an accessible and useful approach to the key mathematical operations needed in 3D computer graphics." -Eric Haines, author of Real-Time Rendering "The book describes the mathematics involved in game development in a very clear and easy to understand way, layered on the practical background of years of game engine programming experience." -Wolfgang Engel, editor of GPU Pro, "With solid theory and references, along with practical advice borne from decades of experience, all presented in an informal and demystifying style, Dunn & Parberry provide an accessible and useful approach to the key mathematical operations needed in 3D computer graphics." e"Eric Haines, author of Real-Time Rendering "The book describes the mathematics involved in game development in a very clear and easy to understand way, layered on the practical background of years of game engine programming experience." e"Wolfgang Engel, editor of GPU Pro

IllustratedYes

Dewey Decimal006.6

Edition DescriptionRevised edition,New Edition

Table Of ContentCartesian Coordinate Systems 1D Mathematics 2D Cartesian Space 3D Cartesian Space Odds and ends Vectors Vector -- mathematical definition and other boring stuff Vector -- a geometric definition Specifying vectors using Cartesian coordinates Vectors vs. points Negating a vector Vector multiplication by a scalar Vector addition and subtraction Vector magnitude (length) Unit vectors The distance formula Vector dot product Vector cross product Linear algebra identities Multiple Coordinate Spaces Why multiple coordinate spaces? Some useful coordinate spaces Coordinate space transformations Nested coordinate spaces In defense of upright space Introduction to Matrices Matrix -- a mathematical definition Matrix -- a geometric interpretation The bigger picture of linear algebra Matrices and Linear Transformations Rotation Scale Orthographic projection Reection Shearing Combining transformations Classes of transformations More on Matrices Determinant of a matrix Inverse of a matrix Orthogonal matrices 4 x 4 homogeneous matrices 4 x 4 matrices and perspective projection Polar Coordinate Systems 2D Polar Space Why would anybody use Polar coordinates? 3D Polar Space Using polar coordinates to specify vectors Rotation in Three Dimensions What exactly is "orientation?" Matrix form Euler angles Axis-angle and exponential map representations Quaternions Comparison of methods Converting between representations Geometric Primitives Representation techniques Lines and rays Spheres and circles Bounding boxes Planes Triangles Polygons Mathematical Topics from 3D Graphics How graphics works Viewing in 3D Coordinate spaces Polygon meshes Texture mapping The standard local lighting model Light sources Skeletal animation Bump mapping The real-time graphics pipeline Some HLSL examples Further reading Mechanics 1: Linear Kinematics and Calculus Overview and other expectation-reducing remarks Basic quantities and units Average velocity Instantaneous velocity and the derivative Acceleration Motion under constant acceleration Acceleration and the integral Uniform circular motion Mechanics 2: Linear and Rotational Dynamics Newton's three laws Some simple force laws Momentum Impulsive forces and collisions Rotational dynamics Real-time rigid body simulators Suggested reading Curves in 3D Parametric polynomial curves Polynomial interpolation Hermite curves Bezier curves Subdivision Splines Hermite and Bezier splines Continuity Automatic tangent control Afterword What next? Appendix A: Geometric Tests Appendix B: Answers to the Exercises Bibliography Index Exercises appear at the end of each chapter.

SynopsisThis engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

LC Classification NumberT385.D875 2011