Edited by Rafal Ablamowicz, Tennessee Technological University, Cookeville, TN, Bertfried
Fauser, Universität Konstanz, Germany, 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 presentation.

Volume 2 "Clifford Analysis" is an up-to-date survey of most aspects of modern-day Clifford analysis. Topics range from applications such
as complex-distance potential theory, supersymmetry, and fluid dynamics to Fourier analysis, the study of boundary value problems, and
applications to mathematical physics and Schwarzian derivatives in Euclidean space. Among the mathematical topics examined are generalized
Dirac operators, monogenic and hypermonogenic functions and their derivatives, Euclidean Beltrami equations, Fourier theory under Möbius
transformations, and applications to operator theory and scattering theory.

Thanks to a careful balance of mathematical theory and applications to physics, the two volumes are accessible to both graduate students and
specialists in the general area of Clifford algebras and their applications.