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Clifford Algebras with Numeric and Symbolic Computations, by Rafal Ablamowicz, Pertti Lounesto, Josep M. Parra
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This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail.
- Sales Rank: #5051717 in Books
- Brand: Brand: Birkhäuser Boston
- Published on: 1996-08-01
- Original language: English
- Number of items: 1
- Dimensions: 10.21" h x .84" w x 7.22" l, 1.83 pounds
- Binding: Hardcover
- 340 pages
- Used Book in Good Condition
Review
"Presents for the first time a comprehensive overview of the interaction between Clifford algebras and mathematical computations... Provides an excellent source of reference for researchers, educators and students...who seek for advanced computing tools and those working on the design and implementation of algorithms."
--The Sac Newsletter
From the Back Cover
This edited volume consists of 20 contributions showing applications of Clifford algebras in quantum mechanics, field theory, spinor calculus, projective geometry, hypercomplex algebra, function theory, crystallography, and in classroom teaching of mathematical physics.
Most helpful customer reviews
6 of 8 people found the following review helpful.
Alamowicz et al.'s Clifford Algebras with Computations
By Osher Doctorow, Ph.D.
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.
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