Algebra Clifford Computational Physicist Tool

This text, written by established mathematicians and physicists, provides a systematic, unified exposition of Clifford (geometric) algebras. Beginning with an introductory chapter, the book covers the mathematical structure of Clifford algebras and the basic concepts of Clifford analysis, and then provides a detailed examination of the many applications of Clifford algebras to differential geometry, physics, computer vision and robotics. No prior knowledge of the subject is assumed. The book's breadth will appeal to graduate students and researchers in mathematics, physics, and engineering. Contents: P. Lounesto, Introduction to Clifford Algebras; I. Porteous, Mathematical Structure of Clifford Algebras; J. Ryan, Clifford Analysis; W. Baylis, Applications of Clifford Algebras in Physics; J. Selig, Clifford Algebras in Engineering; T. Branson, Clifford Bundles and Clifford Algebras; R. Ablamowicz and G.

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Clifford algebra - Clifford algebras are a type of associative algebra in mathematics. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.

Classification of Clifford algebras - In mathematics, in particular the theory of nondegenerate quadratic forms on real and complex vector spaces, finite-dimensional Clifford algebra have been completely classified. In each case, the Clifford algebra is isomorphic to a matrix algebra over R, C, or H (the quaternions), or to a direct sum of two such algebras; though not in a canonical way.

Representations of Clifford algebras - In mathematics, the representations of Clifford algebras are also known as Clifford modules. In general a Clifford algebra C is a central simple algebra over some field extension L of the field K over which the quadratic form Q defining C is defined.

GAP computer algebra system - GAP (Groups, Algorithms and Programming) is a computer algebra system for computational discrete algebra similar to Mathematica with particular emphasis on, but not restricted to, computational group theory. GAP was developed at Lehrstuhl D für Mathematik (LDFM), RWTH Aachen, Germany from 1986 to 1997.

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