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＜E-Book＞
Quaternions, Clifford Algebras and Relativistic Physics / by Patrick R. Girard

Edition	1st ed. 2007.
Publisher	Basel : Birkhäuser Basel : Imprint: Birkhäuser
Year	2007
Language	English
Size	XII, 180 p. 2 illus : online resource
Authors	*Girard, Patrick R author SpringerLink (Online service)
Subjects	LCSH:Algebra LCSH:Gravitation LCSH:Associative rings LCSH:Associative algebras LCSH:Group theory LCSH:Topological groups LCSH:Lie groups LCSH:Mathematical physics FREE:Algebra FREE:Classical and Quantum Gravity FREE:Associative Rings and Algebras FREE:Group Theory and Generalizations FREE:Topological Groups and Lie Groups FREE:Mathematical Methods in Physics
Notes	Quaternions -- Rotation groups SO(4) and SO(3) -- Complex quaternions -- Clifford algebra -- Symmetry groups -- Special relativity -- Classical electromagnetism -- General relativity -- Conclusion 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 HTTP:URL=https://doi.org/10.1007/978-3-7643-7791-5

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