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02648nam a22005535i 4500 |
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978-3-7643-7791-5 |
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DE-He213 |
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20151204143543.0 |
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cr nn 008mamaa |
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100301s2007 sz | s |||| 0|eng d |
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|a 9783764377915
|9 978-3-7643-7791-5
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|a 10.1007/978-3-7643-7791-5
|2 doi
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|d GrThAP
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|a QA150-272
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|a MAT002000
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|a 512
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|a Girard, Patrick R.
|e author.
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|a Quaternions, Clifford Algebras and Relativistic Physics
|h [electronic resource] /
|c by Patrick R. Girard.
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|a Basel :
|b Birkhäuser Basel,
|c 2007.
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|a XII, 180 p. 2 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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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 Mathematics.
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| 650 |
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|a Algebra.
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| 650 |
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|a Associative rings.
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| 650 |
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|a Rings (Algebra).
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| 650 |
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|a Group theory.
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| 650 |
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|a Topological groups.
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| 650 |
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|a Lie groups.
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| 650 |
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|a Physics.
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| 650 |
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|a Gravitation.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Algebra.
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| 650 |
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4 |
|a Classical and Quantum Gravitation, Relativity Theory.
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| 650 |
2 |
4 |
|a Associative Rings and Algebras.
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| 650 |
2 |
4 |
|a Group Theory and Generalizations.
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| 650 |
2 |
4 |
|a Topological Groups, Lie Groups.
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| 650 |
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|a Mathematical Methods in Physics.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783764377908
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| 856 |
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|u http://dx.doi.org/10.1007/978-3-7643-7791-5
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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