TY - BOOK ID - 216078 TI - Quaternions, Clifford Algebras and Relativistic Physics PY - 2007 SN - 3764377917 9783764377908 3764377909 9783764377915 PB - Basel : Birkhäuser Basel : Imprint: Birkhäuser, DB - UniCat KW - Clifford algebras. KW - Quaternions. KW - Algebra, Universal KW - Algebraic fields KW - Curves KW - Surfaces KW - Numbers, Complex KW - Vector analysis KW - Geometric algebras KW - Algebras, Linear 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. KW - Physical mathematics KW - Physics KW - Groups, Topological KW - Continuous groups KW - Groups, Theory of KW - Substitutions (Mathematics) KW - Algebra KW - Mathematics KW - Mathematical analysis KW - Gravitation. KW - Associative rings. KW - Rings (Algebra). KW - Topological groups. KW - Lie groups. KW - Physics. KW - Field theory (Physics) KW - Matter KW - Antigravity KW - Centrifugal force KW - Relativity (Physics) KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics KW - Groups, Lie KW - Lie algebras KW - Symmetric spaces KW - Topological groups KW - Algebraic rings KW - Ring theory KW - Rings (Algebra) KW - Properties UR - https://www.unicat.be/uniCat?func=search&query=sysid:216078 AB - The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have privileged 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. ER -