| Clifford Algebras and Their Applications in Mathematical Physics: Volume 1: Algebra and Physics Contributor(s): Ablamowicz, R. (Author), Ablamowicz, Rafal (Editor), Fauser, Bertfried (Editor) |
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ISBN: 0817641823 ISBN-13: 9780817641825 Publisher: Birkhauser OUR PRICE: $94.05 Product Type: Hardcover - Other Formats Published: June 2000 Annotation: Leading experts in the rapidly evolving field of Clifford (geometric) algebras have contributed to these comprehensive volumes. They consist of thematically organized chapters that present a broad overview of cutting-edge topics in mathematical physics and the physical applications of Clifford algebras. Volume 1: Algebra and Physics is devoted to the mathematical aspects of Clifford algebras and their applications in physics. It provides the complete mathematical background necessary for the algebraic topics covered. Physical applications and extensions of physical theories are presented, showing the broad applicability of Clifford geometric algebras. |
| Additional Information |
| BISAC Categories: - Science | Physics - Mathematical & Computational - Mathematics | Algebra - Linear |
| Dewey: 530.15 |
| LCCN: 00034310 |
| Physical Information: 1.08" H x 6.46" W x 9.51" (1.86 lbs) 492 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The first part of a two-volume set concerning the field of Clifford (geometric) algebra, this work consists of thematically organized chapters that provide a broad overview of cutting-edge topics in mathematical physics and the physical applications of Clifford algebras. algebras and their applications in physics. Algebraic geometry, cohomology, non-communicative spaces, q-deformations and the related quantum groups, and projective geometry provide the basis for algebraic topics covered. Physical applications and extensions of physical theories such as the theory of quaternionic spin, a projective theory of hadron transformation laws, and electron scattering are also presented, showing the broad applicability of Clifford geometric algebras in solving physical problems. Treatment of the structure theory of quantum Clifford algebras, the connection to logic, group representations, and computational techniques including symbolic calculations and theorem proving rounds out the presentation. |