Quaternions, Clifford Algebras and Relativistic Physics

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have privileged 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.

Author(s): Patrick R. Girard
Edition: 1
Publisher: Birkhäuser Basel
Year: 2007

Language: French
Pages: 176

front-matter.pdf......Page 1
Contents......Page 7
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