Customer Reviews

Clifford Algebras with Numeric and Symbolic Computation Applications

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This is the best book on Clifford algebra numeric and/or symbolic computations. See my review of one of the editors, P. Lounesto, under his name. The book illustrates the fact that algebras, unlike geometries, can be easily manipulated directly with computers (and Clifford algebras also are used to handle geometric physics). The editors make sure that each contribution also advances the mathematical-physical theory of Clifford algebras. Packages MATHEMATICA and MAPLE (V) and REDUCE and LUCY are prominent. Schmeikal of Vienna applies the theory to elementary particle theory, with quarks as quantized states of orientation. Gomez et al. of Mexico have fascinating applications to crystallography including "quasicrystals", metal lic alloys with non-crystallographic symmetry but sharp spotted diffraction patterns. The non-specialist should buy the book and, if necessary, hire a consultant or tutor to explain it in closer to ordinary English. Lounesto, by the way, is in Finland with the rapidly rising Finnish schools of science and mathematics.