Quaternions, Clifford Algebras and Relativistic Physics

Patrick R. Girard3764377909, 978-3-7643-7790-8, 9783764377915, 3764377917

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.

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Table of contents :
front-matter.pdf……Page 1
1.pdf……Page 11
2.pdf……Page 12
3.pdf……Page 27
4.pdf……Page 44
5.pdf……Page 63
6.pdf……Page 80
7.pdf……Page 95
8.pdf……Page 108
9.pdf……Page 129
10.pdf……Page 137
back-matter.pdf……Page 138