Skip to main content
SpringerLink
Log in
Birkhäuser

Clifford Algebras with Numeric and Symbolic Computations

  • Book
  • © 1996

Overview

Editors:
  1. Rafał Abłamowicz

    1. Department of Mathematics, Gannon University, Erie, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Josep M. Parra

    1. Department Física Fonamental, Facultat de Física, Universitat de Barcelona, Barcelona, Spain

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Pertti Lounesto

    1. Helsinki University of Technology, Espoo 15, Finland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Verifying and Falsifying Conjectures

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Counterexamples in Clifford Algebras with Clical

      • Pertti Lounesto
      Pages 3-30

  3. Differential Geometry, Quantum Mechanics, Spinors and Conformal Group

    1. Front Matter

      Pages 31-31
      Download chapter PDF

    2. The Use of Computer Algebra and Clifford Algebra in Teaching Mathematical Physics

      • Jayme Vaz Jr.
      Pages 33-55

    3. General Clifford Algebra and Related Differential Geometry Calculations with Mathematica

      • Josep M. Parra, Llorenc Roselló
      Pages 57-67

    4. Pauli-Algebra Calculations in MAPLE V

      • W. E. Baylis
      Pages 69-82

    5. The Generative Process of Space-Time and Strong Interaction Quantum Numbers of Orientation

      • Bernd Schmeikal
      Pages 83-100

    6. On a New Basis for a Generalized Clifford Algebra and its Application to Quantum Mechanics

      • A. Granik, M. Ross
      Pages 101-110

    7. Vector Continued Fraction Algorithms

      • D. E. Roberts
      Pages 111-119

    8. LUCY: A Clifford Algebra Approach to Spinor Calculus

      • Jörg Schray, Robin W. Tucker, Charles H.-T. Wang
      Pages 121-143

    9. Computer Algebra in Spinor Calculations

      • Franco Piazzese
      Pages 145-154

    10. Vahlen Matrices for Non-Definite Metrics

      • J. Cnops
      Pages 155-164

  4. Generalized Clifford Algebras and Number Systems, Projective Geometry and Crystallography

    1. Front Matter

      Pages 165-165
      Download chapter PDF

    2. On Clifford Algebras of a Bilinear Form with an Antisymmetric Part

      • Rafał Abłamowicz, Pertti Lounesto
      Pages 167-188

    3. A Unipodal Algebra Package for Mathematica

      • Garret Sobczyk
      Pages 189-199

    4. Octonion X-Product Orbits

      • Geoffrey Dixon
      Pages 201-212

    5. A Commutative Hypercomplex Algebra with Associated Function Theory

      • Clyde M. Davenport
      Pages 213-227

    6. On Generalized Clifford Algebras — Recent Applications

      • W. Bajguz, A. K. Kwaśniewski
      Pages 229-231

    7. Oriented Projective Geometry with Clifford Algebra

      • Richard C. Pappas
      Pages 233-250
Back to top

Keywords

About this book

Clifford algebras are at a crossing point in a variety of research areas, including abstract algebra, crystallography, projective geometry, quantum mechanics, differential geometry and analysis. For many researchers working in this field in ma- thematics and physics, computer algebra software systems have become indispensable tools in theory and applications. This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail, i.e., Maple, Mathematica, Axiom, etc. A key feature of the book is that it shows how scientific knowledge can advance with the use of computational tools and software.

Reviews

"Presents for the first time a comprehensive overview of the interaction between Clifford algebras and mathematical computations... Provides an excellent source of reference for researchers, educators and students...who seek for advanced computing tools and those working on the design and implementation of algorithms."

--The Sac Newsletter

Editors and Affiliations

  • Department of Mathematics, Gannon University, Erie, USA

    Rafał Abłamowicz

  • Department Física Fonamental, Facultat de Física, Universitat de Barcelona, Barcelona, Spain

    Josep M. Parra

  • Helsinki University of Technology, Espoo 15, Finland

    Pertti Lounesto

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation