Details

Autor(en) / Beteiligte

• Girard, Patrick R

Titel

Quaternions, Clifford Algebras and Relativistic Physics [electronic resource]

Auflage

1st ed. 2007

Ort / Verlag

Basel : Birkhäuser Basel

Erscheinungsjahr

2007

Beschreibungen/Notizen

• Description based upon print version of record.
• Includes bibliographical references (p. [173]-176) and index.
• Quaternions -- Rotation groups SO(4) and SO(3) -- Complex quaternions -- Clifford algebra -- Symmetry groups -- Special relativity -- Classical electromagnetism -- General relativity -- Conclusion.
• The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have privileged 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.
• English