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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Bibliographic Details
Main Author: Girard, Patrick R.
Format: eBook
Language:English
Published: Basel Birkhäuser 2007, 2007
Edition:1st ed. 2007
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Quaternions, Clifford Algebras and Relativistic Physics  |h Elektronische Ressource  |c by Patrick R. Girard 
250 |a 1st ed. 2007 
260 |a Basel  |b Birkhäuser  |c 2007, 2007 
300 |a XII, 180 p. 2 illus  |b online resource 
505 0 |a Quaternions -- Rotation groups SO(4) and SO(3) -- Complex quaternions -- Clifford algebra -- Symmetry groups -- Special relativity -- Classical electromagnetism -- General relativity -- Conclusion 
653 |a Group Theory and Generalizations 
653 |a Associative algebras 
653 |a Group theory 
653 |a Gravitation 
653 |a Topological Groups and Lie Groups 
653 |a Lie groups 
653 |a Topological groups 
653 |a Algebra 
653 |a Mathematical physics 
653 |a Classical and Quantum Gravity 
653 |a Associative rings 
653 |a Mathematical Methods in Physics 
653 |a Associative Rings and Algebras 
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989 |b Springer  |a Springer eBooks 2005- 
028 5 0 |a 10.1007/978-3-7643-7791-5 
856 4 0 |u https://doi.org/10.1007/978-3-7643-7791-5?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 512 
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