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girard patrick r. - quaternions, clifford algebras and relativistic physics

Quaternions, Clifford Algebras and Relativistic Physics




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Birkhäuser

Edizione: 2007





Trama

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.





Sommario

Quaternions.- Rotation groups SO(4) and SO(3).- Complex quaternions.- Clifford algebra.- Symmetry groups.- Special relativity.- Classical electromagnetism.- General relativity.- Conclusion.










Altre Informazioni

ISBN:

9783764377908

Condizione: Nuovo
Dimensioni: 235 x 155 mm
Formato: Brossura
Illustration Notes:XII, 180 p. 2 illus.
Pagine Arabe: 180
Pagine Romane: xii


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