Overview
- First book presenting Clifford algebras in an algebraic way in terms of a tensor product of quaternion algebras with applications to relativistic physics
- The quaternion group consequently appears as a fundamental structure of physics
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Table of contents (10 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Quaternions, Clifford Algebras and Relativistic Physics
Authors: Patrick R. Girard
DOI: https://doi.org/10.1007/978-3-7643-7791-5
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2007
Softcover ISBN: 978-3-7643-7790-8Published: 22 January 2007
eBook ISBN: 978-3-7643-7791-5Published: 25 June 2007
Edition Number: 1
Number of Pages: XII, 180
Number of Illustrations: 2 b/w illustrations
Topics: Algebra, Classical and Quantum Gravitation, Relativity Theory, Associative Rings and Algebras, Group Theory and Generalizations, Topological Groups, Lie Groups, Mathematical Methods in Physics