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|a Girard, Patrick R.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Quaternions, Clifford Algebras and Relativistic Physics
|h [electronic resource] /
|c by Patrick R. Girard.
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|a 1st ed. 2007.
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|a Basel :
|b Birkhäuser Basel :
|b Imprint: Birkhäuser,
|c 2007.
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|a XII, 180 p. 2 illus.
|b online resource.
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|a Quaternions -- Rotation groups SO(4) and SO(3) -- Complex quaternions -- Clifford algebra -- Symmetry groups -- Special relativity -- Classical electromagnetism -- General relativity -- Conclusion.
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|a 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.
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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Algebra.
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|a Gravitation.
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|a Associative rings.
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|a Rings (Algebra).
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|a Group theory.
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|a Topological groups.
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|a Lie groups.
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|a Physics.
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|a Electronic resources (E-books)
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|a SpringerLink (Online service)
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