Essential Mathematics for Games and Inte - Verth_ James M. van.pdf - Essential Mathematics for Games and Inte (1593) - superktos86

This excellent volume is unique in that it covers not only the basic techniques of com-

puter graphics and game development, but also provides a thorough and rigorous—yet

very readable—treatment of the underlying mathematics. Fledgling graphics and

games developers will ﬁnd it a valuable introduction; experienced developers will ﬁnd

it an invaluable reference. Everything is here, from the detailed numeric issues of

IEEE ﬂoating point notation, to the correct way to use quaternions and spherical lin-

ear interpolation to represent orientation, to the mathematics of collision detection

and rigid-body dynamics.

—David Luebke, University of Virginia,

co-author of Level of Detail for 3D Graphics

When it comes to software development for games or virtual reality, you cannot

escape the mathematics. The best performance comes not from superfast proces-

sors and terabytes of memory, but from well-chosen algorithms. With this in mind,

the techniques most useful for developing production-quality computer graphics for

Hollywood blockbusters are not the best choice for interactive applications. When

rendering times are measured in milliseconds rather than hours, you need an entirely

different perspective.

Essential Mathematics for Games and Interactive Applications provides this per-

spective. While the mathematics are rigorous and perhaps challenging at times, Van

Verth and Bishop provide the context for understanding the algorithms and data struc-

tures needed to bring games and VR applications to life. This may not be the only book

you will ever need for games and VR software development, but it will certainly provide

an excellent framework for developing robust and fast applications.

—Ian Ashdown, President, ByHeart Consultants Limited

With Essential Mathematics for Games and Interactive Applications, Van Verth and

Bishop have provided invaluable assistance for professional game developers looking

to shore up weaknesses in their mathematical training. Even if you never intend to

write a renderer or tune a physics engine, this book provides the mathematical and

conceptual grounding needed to understand many of the key concepts in rendering,

simulation, and animation.

—Dave Weinstein, Microsoft, Red Storm Entertainment

Geometry, trigonometry, linear algebra, and calculus are all essential tools for

3D graphics. Mathematics courses in these subjects cover too much ground, while at

the same time glossing over the bread-and-butter essentials for 3D graphics program-

mers. In Essential Mathematics for Games and Interactive Applications , Van Verth and

Bishop bring just the right level of mathematics out of the trenches of professional

game development. This book provides an accessible and solid mathematical founda-

tion for interactive graphics programmers. If you are working in the area of 3D games,

this book is a “must have.”

—Jonathan Cohen, Department of Computer Science,

Johns Hopkins University,

co-author of Level of Detail for 3D Graphics

Essential Mathematics

Interactive Applications

A Programmer’s Guide

for Games and

The Morgan Kaufmann Series in

Interactive 3D Technology

Series Editor: David H. Eberly, Magic Software, Inc.

The game industry is a powerful and driving force in the evolution of computer

technology. As the capabilities of personal computers, peripheral hardware,

and game consoles have grown, so has the demand for quality information

about the algorithms, tools, and descriptions needed to take advantage of this

new technology. We plan to satisfy this demand and establish a new level

of professional reference for the game developer with the Morgan Kaufmann

Series in Interactive 3D Technology . Books in the series are written for devel-

opers by leading industry professionals and academic researchers, and cover

the state of the art in real-time 3D. The series emphasizes practical, work-

ing solutions and solid software-engineering principles. The goal is for the

developer to be able to implement real systems from the fundamental ideas,

whether it be for games or for other applications.

Essential Mathematics for Games and Interactive Applications:

A Programmer’s Guide

James M. Van Verth and Lars M. Bishop

Game Physics

David H. Eberly

Collision Detection in Interactive 3D Environments

Gino van den Bergen

3D Game Engine Design:

A Practical Approach to Real-Time Computer Graphics

David H. Eberly

Forthcoming

Physically Based Rendering

Matt Pharr and Greg Humphreys

Real-Time Collision Detection

Christer Ericson

Essential Mathematics for Games and Inte - Verth_ James M. van.pdf

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