Geometric Algebra for Computer Science

Written By Leo Dorst
Geometric Algebra for Computer Science
  • Publsiher : Elsevier
  • Release : 26 July 2010
  • ISBN : 0080553109
  • Pages : 664 pages
  • Rating : /5 from reviews
GET THIS BOOKGeometric Algebra for Computer Science


Download or read book entitled Geometric Algebra for Computer Science by author: Leo Dorst which was release on 26 July 2010 and published by Elsevier with total page 664 pages . This book available in PDF, EPUB and Kindle Format. Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, 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. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing * Written by leaders in the field providing essential information on this new technique for 3D graphics * This full colour book includes a website with GAViewer, a program to experiment with GA

Geometric Algebra for Computer Science

Geometric Algebra for Computer Science
  • Author : Leo Dorst,Daniel Fontijne,Stephen Mann
  • Publisher : Elsevier
  • Release Date : 2010-07-26
  • Total pages : 664
  • ISBN : 0080553109
GET BOOK

Summary : Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even ...

Applications of Geometric Algebra in Computer Science and Engineering

Applications of Geometric Algebra in Computer Science and Engineering
  • Author : Leo Dorst,Chris Doran,Joan Lasenby
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 478
  • ISBN : 0080553109
GET BOOK

Summary : Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas ...

Geometric Algebra Computing

Geometric Algebra Computing
  • Author : Eduardo Bayro-Corrochano,Gerik Scheuermann
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-05-19
  • Total pages : 526
  • ISBN : 0080553109
GET BOOK

Summary : This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis....

Foundations of Geometric Algebra Computing

Foundations of Geometric Algebra Computing
  • Author : Dietmar Hildenbrand
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-31
  • Total pages : 196
  • ISBN : 0080553109
GET BOOK

Summary : The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications ...

Applications of Geometric Algebra in Computer Science and Engineering

Applications of Geometric Algebra in Computer Science and Engineering
  • Author : Leo Dorst,Chris J. L. Doran,Joan Lasenby
  • Publisher : Birkhauser
  • Release Date : 2002
  • Total pages : 478
  • ISBN : 0080553109
GET BOOK

Summary : Read online Applications of Geometric Algebra in Computer Science and Engineering written by Leo Dorst,Chris J. L. Doran,Joan Lasenby, published by Birkhauser which was released on 2002. Download full Applications of Geometric Algebra in Computer Science and Engineering Books now! Available in PDF, ePub and Kindle....

Guide to Geometric Algebra in Practice

Guide to Geometric Algebra in Practice
  • Author : Leo Dorst,Joan Lasenby
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-08-28
  • Total pages : 458
  • ISBN : 0080553109
GET BOOK

Summary : This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools. Topics and features: provides ...

Geometric Algebra for Computer Graphics

Geometric Algebra for Computer Graphics
  • Author : John Vince
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-04-21
  • Total pages : 256
  • ISBN : 0080553109
GET BOOK

Summary : Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an ...

Geometric Algebra with Applications in Science and Engineering

Geometric Algebra with Applications in Science and Engineering
  • Author : Eduardo Bayro Corrochano,Garret Sobczyk
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-06-28
  • Total pages : 592
  • ISBN : 0080553109
GET BOOK

Summary : The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more ...

Geometric Algebra with Applications in Science and Engineering

Geometric Algebra with Applications in Science and Engineering
  • Author : Eduardo Bayro Corrochano,Garret Sobczyk
  • Publisher : Birkhäuser
  • Release Date : 2012-10-21
  • Total pages : 592
  • ISBN : 0080553109
GET BOOK

Summary : The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more ...

Imaginary Mathematics for Computer Science

Imaginary Mathematics for Computer Science
  • Author : John Vince
  • Publisher : Springer
  • Release Date : 2018-08-16
  • Total pages : 301
  • ISBN : 0080553109
GET BOOK

Summary : The imaginary unit i = √-1 has been used by mathematicians for nearly five-hundred years, during which time its physical meaning has been a constant challenge. Unfortunately, René Descartes referred to it as “imaginary”, and the use of the term “complex number” compounded the unnecessary mystery associated with this amazing object. ...

Geometric Algebra for Physicists

Geometric Algebra for Physicists
  • Author : Chris Doran,Steven R. Gullans,Anthony Lasenby,Joan Lasenby,William Fitzgerald
  • Publisher : Cambridge University Press
  • Release Date : 2003-05-29
  • Total pages : 578
  • ISBN : 0080553109
GET BOOK

Summary : Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering....

Guide to Geometric Algebra in Practice

Guide to Geometric Algebra in Practice
  • Author : Leo Dorst,Joan Lasenby
  • Publisher : Springer
  • Release Date : 2011-09-18
  • Total pages : 458
  • ISBN : 0080553109
GET BOOK

Summary : This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools. Topics and features: provides ...

Geometric Computing with Clifford Algebras

Geometric Computing with Clifford Algebras
  • Author : Gerald Sommer
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Total pages : 551
  • ISBN : 0080553109
GET BOOK

Summary : This monograph-like anthology introduces the concepts and framework of Clifford algebra. It provides a rich source of examples of how to work with this formalism. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic ...

Studyguide for Geometric Algebra for Computer Science

Studyguide for Geometric Algebra for Computer Science
  • Author : Cram101 Textbook Reviews
  • Publisher : Cram101
  • Release Date : 2013-05
  • Total pages : 208
  • ISBN : 0080553109
GET BOOK

Summary : Never HIGHLIGHT a Book Again Virtually all testable terms, concepts, persons, places, and events are included. Cram101 Textbook Outlines gives all of the outlines, highlights, notes for your textbook with optional online practice tests. Only Cram101 Outlines are Textbook Specific. Cram101 is NOT the Textbook. Accompanys: 9780521673761...

Geometric Fundamentals of Robotics

Geometric Fundamentals of Robotics
  • Author : J.M. Selig
  • Publisher : Springer Science & Business Media
  • Release Date : 2004-11-19
  • Total pages : 398
  • ISBN : 0080553109
GET BOOK

Summary : * Provides an elegant introduction to the geometric concepts that are important to applications in robotics * Includes significant state-of-the art material that reflects important advances, connecting robotics back to mathematical fundamentals in group theory and geometry * An invaluable reference that serves a wide audience of grad students and researchers in mechanical ...