Beschreibung
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.
Inhaltsverzeichnis
Foreword.- Introduction.- 1. Quaternions.- 2. Rotation Groups SO(3) and SO(4).- 3. Complex Quaternions.- 4. Clifford Algebras.- 5. Symmetry Groups.- 6. Special Relativity.- 7. Classical Electromagnetism.- 8. General Relativity.- Conclusion.- Solutions to Exercises.- Appendices.- Bibliography.
