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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.