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Clifford Algebras with Numeric and Symbolic Computations

  • Rafał Abłamowicz
  • Josep M. Parra
  • Pertti Lounesto

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Verifying and Falsifying Conjectures

    1. Front Matter
      Pages 1-1
  3. Differential Geometry, Quantum Mechanics, Spinors and Conformal Group

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

    1. Front Matter
      Pages 165-165
    2. Rafał Abłamowicz, Pertti Lounesto
      Pages 167-188
    3. Garret Sobczyk
      Pages 189-199
    4. Geoffrey Dixon
      Pages 201-212
    5. W. Bajguz, A. K. Kwaśniewski
      Pages 229-231
    6. Richard C. Pappas
      Pages 233-250
    7. A. Gómez, J. L. Aragón, O. Caballero, F. Dávila
      Pages 251-266
  5. Numerical Methods in Clifford Algebras

    1. Front Matter
      Pages 267-267
    2. Alexander M. Soiguine
      Pages 285-294
  6. Back Matter
    Pages 317-322

About this book

Introduction

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.

Keywords

Algebra Calculation Computer Finite algorithms calculus computer algebra function geometry numerical methods

Editors and affiliations

  • Rafał Abłamowicz
    • 1
  • Josep M. Parra
    • 2
  • Pertti Lounesto
    • 3
  1. 1.Department of MathematicsGannon UniversityErieUSA
  2. 2.Department Física Fonamental, Facultat de FísicaUniversitat de BarcelonaBarcelonaSpain
  3. 3.Helsinki University of TechnologyEspoo 15Finland

Bibliographic information