Quaternions, Clifford Algebras and Relativistic Physics
By: Girard, Patrick R [author.].
Contributor(s): SpringerLink (Online service)0.
Material type:
BookPublisher: Basel : Birkh�user Basel, 2007. Description: XII, 180 p. 2 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783764377915.Subject(s): Mathematics | Algebra | Associative rings | Rings (Algebra) | Group theory | Topological groups | Lie groups | Physics | Gravitation.1 | Mathematics.2 | Algebra.2 | Classical and Quantum Gravitation, Relativity Theory.2 | Associative Rings and Algebras.2 | Group Theory and Generalizations.2 | Topological Groups, Lie Groups.2 | Mathematical Methods in Physics.2DDC classification: 512 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| PK Kelkar Library, IIT Kanpur | Available | EBK9373 |
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 priviledged 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.
There are no comments for this item.