TY  - BOOK
AU  - Girard,Patrick R.
ED  - SpringerLink (Online service)
TI  - Quaternions, Clifford Algebras and Relativistic Physics
SN  - 9783764377915
AV  - QA150-272 
U1  - 512 23
PY  - 2007///
CY  - Basel
PB  - Birkhäuser Basel
KW  - Algebra
KW  - Group theory
KW  - Topological Groups
KW  - Mathematical physics
KW  - Classical and Quantum Gravitation, Relativity Theory
KW  - Associative Rings and Algebras
KW  - Group Theory and Generalizations
KW  - Topological Groups, Lie Groups
KW  - Mathematical Methods in Physics
N1  - Quaternions -- Rotation groups SO(4) and SO(3) -- Complex quaternions -- Clifford algebra -- Symmetry groups -- Special relativity -- Classical electromagnetism -- General relativity -- Conclusion
N2  - 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
UR  - https://doi.org/10.1007/978-3-7643-7791-5
ER  -