Girard P.R. Quaternions, Clifford Algebras and Relativistic Physics

Springer Science+Business Media, Germany, 2007. — 192 p. — ISBN: 3764377909.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.Quaternions
Rotation groups SO(4) and SO(3)
Complex quaternions
Clifford algebra
Symmetry groups
Specialrelativity
Classical electromagnetism
General relativity