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Clifford Algebras and their
Applications in Mathematical Physics
Volume 1: Algebra and Physics
Volume 2: Clifford Analysis
Volume 1 edited by Rafal Ablamowicz, Tennessee Technological University, Cookeville, TN,
Bertfried Fauser, Universität Konstanz, Germany; Volume 2 edited by John Ryan, University of
Arkansas, Fayetteville, AR & Wolfgang Sprößig, TU-Bergakademie, Freiberg, Germany
Leading experts in the rapidly evolving field of Clifford (geometric) algebras have contributed to this comprehensive
two-volume text. Consisting of thematically organized chapters, the volume is a broad overview of cutting-edge topics in
mathematical physics and the physical applications of Clifford algebras.
Volume I "Algebra and Physics" is devoted to the mathematical aspects of Clifford algebras and their applications in
physics. Algebraic geometry, cohomology, non-commutative 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, Dirac theory of electron, plane waves and wave packets in
electrodynamics, 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, twistor phase
space, introduction of a Kaluza-Klein type theory related to Finsler geometry, the connection to logic, group
representations, and computational techniques--including symbolic calculations and theorem proving--round out the