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Quaternions, Clifford Algebras and Relativistic Physics

  • Patrick R. Girard

Table of contents

  1. Front Matter
    Pages i-xii
  2. Pages 1-1
  3. Pages 3-17
  4. Pages 37-55
  5. Pages 57-73
  6. Pages 75-89
  7. Pages 91-103
  8. Pages 127-134
  9. Pages 135-135
  10. Back Matter
    Pages 137-179

About this book

Introduction

The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have priviledged a geometric approach, the author uses an algebraic approach which can be introduced as a tensor product of quaternion algebras and provides a unified calculus for much of physics.

The book proposes a pedagogical introduction to this new calculus, based on quaternions, with applications mainly in special relativity, classical electromagnetism and general relativity.

The volume is intended for students, researchers and instructors in physics, applied mathematics and engineering interested in this new quaternionic Clifford calculus.

Keywords

Clifford algebra Relativity Special relativity Symmetry group algebra electromagnetism general relativity mathematical physics quaternion relativistic physics rotation group tensor product

Authors and affiliations

  • Patrick R. Girard
    • 1
  1. 1.Département Premier CycleINSA de LyonVilleurbanne CedexFrance

Bibliographic information

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