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E-book
Author Girard, Patrick Ralph, 1949-

Title Quaternions, Clifford algebras and relativistic physics / Patrick R. Girard
Published Basel ; Boston : Birkhäuser, ©2007

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Description 1 online resource (xii, 179 pages)
Contents Quaternions -- Rotation groups SO(4) and SO(3) -- Complex quaternions -- Clifford algebra -- Symmetry groups -- Special relativity -- Classical electromagnetism -- General relativity -- Conclusion
Summary 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
Bibliography Includes bibliographical references (pages 173-176) and index
Notes English
Print version record
In Springer e-books
Subject Clifford algebras.
Quaternions.
Algebra.
algebra.
Quaternions.
Clifford algebras.
Clifford algebras
Quaternions
Form Electronic book
ISBN 9783764377915
3764377917
9783764377908
3764377909
128134334X
9781281343345
Other Titles Quaternions, algèbras Clifford et physique relativiste. English