Last edited by Taurg
Monday, August 10, 2020 | History

6 edition of Applications of Geometric Algebra in Computer Science and Engineering found in the catalog.

Applications of Geometric Algebra in Computer Science and Engineering

  • 297 Want to read
  • 32 Currently reading

Published by Birkhäuser Boston .
Written in English

    Subjects:
  • Algebra,
  • Algebraic Geometry,
  • Mathematics for scientists & engineers,
  • Linear Algebra,
  • Computer Science,
  • Science/Mathematics,
  • Mathematics,
  • Geometry, Algebraic,
  • Geometry - General,
  • Engineering mathematics,
  • Algebra - General,
  • Applied,
  • Computers : Computer Science,
  • Control Engineering,
  • Geometric Algebra,
  • Mathematical Methods,
  • Mathematics / Algebra / General,
  • Mathematics / Applied,
  • Algebra - Linear,
  • Geometry - Algebraic

  • Edition Notes

    ContributionsLeo Dorst (Editor), Chris Doran (Editor), Joan Lasenby (Editor)
    The Physical Object
    FormatHardcover
    Number of Pages505
    ID Numbers
    Open LibraryOL8074761M
    ISBN 100817642676
    ISBN 109780817642679

    The second half of the book is devoted to applications of complex numbers, quaternions and geometric algebra. John Vince explains how complex numbers simplify trigonometric identities, wave combinations and phase differences in circuit analysis, and how geometric algebra resolves geometric . Applicable Algebra in Engineering, Communication and Computing publishes mathematically rigorous, original research papers reporting on algebraic methods and techniques relevant to all domains .

    Geometric algebra (GA) is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. This book explains GA as a natural extension of linear algebra and conveys its significance for 3D programming of geometry in graphics.   The goal of the Volume I Geometric Algebra for Computer Vision, Graphics and Neural Computing is to present a unified mathematical treatment of diverse problems in the general domain of artificial intelligence and associated fields using Clifford, or geometric, ric algebra provides a rich and general mathematical framework for Geometric .

    Geometric algebra provides a rich and general mathematical framework for the development of solutions, concepts and computer algorithms without losing geometric insight into the problem in . book chapter „Gaalop – High Performance Parallel Computing based on Conformal Geometric Algebra“ by Dietmar Hildenbrand, Joachim Pitt and Andreas Koch, in Geometric Algebra Computing for Engineering and Computer Science.


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Applications of Geometric Algebra in Computer Science and Engineering Download PDF EPUB FB2

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.1/5(1).

Geometric algebra provides a rich, general mathematical framework for the develop­ ment of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras, the use of the horosphere and many other areas.

This book is addressed to a broad audience of applied mathematicians, physicists, computer scientists, and engineers.5/5(1). "This book contains papers presented at the conference "Applied Geometric Algebra in Computer Science and Engineering" (AGACSE ). The goal was to demonstrate how the framework of geometric algebra (Clifford algebra) could unify and illuminate diverse fields of science and engineering.

particle entanglement, MRI, and relativistic generalizations. Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book.

Additionally, advanced graduate students interested in geometric algebra will find the most current applications Price: $   Applications of Geometric Algebra in Computer Science and Engineering.

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering. The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together Cited by: Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering.

This book is a complete guide to the current state of the subject with early chapters providing a self-contained introduction to geometric algebra. Other books on geometric algebra and its use in computer modelling and engineering are [26], [27], [43], [9], [45], and [46].

The book [11] gives a panorama of applications by a wide range of. This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer.

It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision 5/5(2). Geometric Algebra Computing in Engineering and Computer Science presents contributions from an international selection of experts in the field.

This useful text/reference offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications. 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. Geometric Algebra Computing in Engineering and Computer Science presents contributions from an international selection of experts in the field.

This useful text/reference offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications Format: Hardcover. The present book contains the papers of this scientific meeting and reflects the constantly growing interest in searching the applications of geometric algebra (or Clifford algebra) in various fields of science.

Geometric algebra includes a lot of techniques from several mathematical theories (linear algebra, vector calculus, projective geometry. This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer.

It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer Brand: Springer-Verlag New York.

Geometric algebra provides a rich, general mathematical framework for the develop­ ment of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras Cited by: Applications of Geometric Algebra I Chris Doran Cavendish Laboratory Cambridge University • Applications of GA to computer science and engineering are discussed in the proceedings Applications III • Panel of geometric algebra Applications Size: KB.

Its benefits include cleaner computer-program solutions for known geometric computation tasks, and the ability to address increasingly more involved applications. This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering.

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. As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics, which sometimes do not cover the underlying geometric.

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.

17th Lluís Santaló Research Summer School () took place from Monday 22 to Friday 26 in August, and its central topics were Geometric Algebra and Geometric Calculus and its applications to Mathematics, Physics, Computer Science and Engineering.

Geometric Algebra Computing in Engineering and Computer Science free pdf download. This book presents new results on applications of geometric algebra.

The time when researchers and engineers were starting to realize the potential of quaternions for applications in electrical, mechanic, and control engineering .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.