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 -