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Quaternions, Clifford Algebras and Relativistic Physics

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 ca...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Girard, Patrick R. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edición:1st ed. 2007.
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Quaternions, Clifford Algebras and Relativistic Physics  |h [electronic resource] /  |c by Patrick R. Girard. 
250 |a 1st ed. 2007. 
264 1 |a Basel :  |b Birkhäuser Basel :  |b Imprint: Birkhäuser,  |c 2007. 
300 |a XII, 180 p. 2 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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505 0 |a Quaternions -- Rotation groups SO(4) and SO(3) -- Complex quaternions -- Clifford algebra -- Symmetry groups -- Special relativity -- Classical electromagnetism -- General relativity -- Conclusion. 
520 |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. 
650 0 |a Algebra. 
650 0 |a Gravitation. 
650 0 |a Associative rings. 
650 0 |a Associative algebras. 
650 0 |a Group theory. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 0 |a Mathematical physics. 
650 1 4 |a Algebra. 
650 2 4 |a Classical and Quantum Gravity. 
650 2 4 |a Associative Rings and Algebras. 
650 2 4 |a Group Theory and Generalizations. 
650 2 4 |a Topological Groups and Lie Groups. 
650 2 4 |a Mathematical Methods in Physics. 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
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