Quaternions, Clifford Algebras and Relativistic Physics

Buch | Softcover
XII, 180 Seiten
2007 | 2007
Springer Basel (Verlag)
978-3-7643-7790-8 (ISBN)
64,19 inkl. MwSt
This book uses an algebraic approach that can be introduced as a tensor product of quaternion algebras and provides a unified calculus for much of physics. It proposes a pedagogical introduction to this new calculus, based on quaternions.

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.

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

Erscheint lt. Verlag 22.1.2007
Zusatzinfo XII, 180 p. 2 illus.
Verlagsort Basel
Sprache englisch
Maße 155 x 235 mm
Gewicht 545 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Schlagworte Algebra • Clifford Algebra • Clifford-Algebra • electromagnetism • General relativity • Hardcover, Softcover / Mathematik/Arithmetik, Algebra • HC/Mathematik/Arithmetik, Algebra • Mathematical Physics • quaternion • relativistic physics • Relativität • Relativity • rotation group • Special relativity • Symmetry group • tensor product
ISBN-10 3-7643-7790-9 / 3764377909
ISBN-13 978-3-7643-7790-8 / 9783764377908
Zustand Neuware
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