Cover of Patrick R. Girard: Quaternions, Clifford Algebras and Relativistic Physics

Patrick R. Girard Quaternions, Clifford Algebras and Relativistic Physics

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Birkhauser Basel

2007

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978-3-7643-7791-5

3-7643-7791-7

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The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have privileged a geometric approach, this book uses an algebraic approach that can be introduced as a tensor product of quaternion algebras and provides a unified calculus for much of physics. It proposes a pedagogical introduction to this new calculus, based on quaternions, with applications mainly in special relativity, classical electromagnetism, and general relativity.

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