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Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometricalgebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. Features -Explains GA as a natural extension of linear algebra and conveys its significance for 3D programming of geometry in graphics, vision, and robotics. -Systematically explores the concepts and techniques that are key to representing elementary objects and geometric operators using GA. -Covers in detail the conformal model, a convenient way to implement 3D geometry using a 5D representation space. -Presents effective approaches to making GA an integral part of your programming. -Includes numerous drills and programming exercises helpful for both students and practitioners. -Companion web site includes links to GAViewer, a program that will allow you to interact with many of the 3D figures in the book, and Gaigen 2, the platform for the instructive programming exercises that conclude each chapter.

Computer science --- Geometry, Algebraic. --- Object-oriented methods (Computer science). --- Mathematics. --- Object-oriented methods (Computer science) --- Object development methods (Computer science) --- Object orientation (Computer science) --- Object-oriented development (Computer science) --- Object technology (Computer science) --- System design --- Computer mathematics --- Electronic data processing --- Mathematics --- Algebraic geometry --- Geometry