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130626 ||| eng |
020 |
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|a 9783764377915
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100 |
1 |
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|a Girard, Patrick R.
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245 |
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|a Quaternions, Clifford Algebras and Relativistic Physics
|h Elektronische Ressource
|c by Patrick R. Girard
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250 |
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|a 1st ed. 2007
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260 |
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|a Basel
|b Birkhäuser
|c 2007, 2007
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300 |
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|a XII, 180 p. 2 illus
|b online resource
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505 |
0 |
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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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653 |
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|a Group Theory and Generalizations
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653 |
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|a Associative algebras
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653 |
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|a Group theory
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653 |
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|a Gravitation
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653 |
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|a Topological Groups and Lie Groups
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653 |
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|a Lie groups
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653 |
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|a Topological groups
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653 |
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|a Algebra
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653 |
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|a Mathematical physics
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653 |
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|a Classical and Quantum Gravity
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653 |
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|a Associative rings
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653 |
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|a Mathematical Methods in Physics
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653 |
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|a Associative Rings and Algebras
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b Springer
|a Springer eBooks 2005-
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028 |
5 |
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|a 10.1007/978-3-7643-7791-5
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856 |
4 |
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|u https://doi.org/10.1007/978-3-7643-7791-5?nosfx=y
|x Verlag
|3 Volltext
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082 |
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|a 512
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520 |
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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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