Quaternions, Clifford Algebras and Relativistic Physics (repost)
Quaternions, Clifford Algebras and Relativistic Physics by Patrick R. Girard
English | 2007-03-05 | ISBN: 3764377909 | 176 pages | PDF | 1,5 mb
English | 2007-03-05 | ISBN: 3764377909 | 176 pages | PDF | 1,5 mb
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.