Research Catalog

Title

Quaternions, Clifford algebras and relativistic physics / Patrick R. Girard.

Author

Girard, Patrick Ralph, 1949-

Publication

Basel ; Boston : Birkhäuser, c2007.

Items in the Library & Off-site

Holdings

Details

Description

xii, 179 p. : ill.; 24 cm.

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.

Uniform Title

Quaternions, algèbre de Clifford et physique relativiste. English

Alternative Title

Quaternions, algèbre de Clifford et physique relativiste.

Subject

• Clifford algebras
• Quaternions
• Relativity (Physics) > Mathematics
• Algebra
• Group theory
• Mathematical physics
• Mathematics
• Relativity (Physics)
• Topological Groups

Bibliography (note)

• Includes bibliographical references (p. [173]-176) and index.

Processing Action (note)

• committed to retain

Contents

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

ISBN

• 9783764377908 (pbk.)
• 3764377909 (pbk.)

OCLC

• 82148948
• SCSB-10261850

Owning Institutions

Harvard Library