Clifford Algebras with Numeric and Symbolic Computation Applications [Hardcover]

Rafal Ablamowicz (Author), Pertti Lounesto (Author), Josep M. Parra (Author)

Book Description

ISBN-10: 0817639071 | ISBN-13: 978-0817639075 | Publication Date: August 1, 1996 | Edition: 1

Clifford algebras are at a crossing point in a variety of research areas, including abstract algebra, crystallography, projective geometry, quantum mechanics, differential geometry and analysis. For many researchers working in this field in ma- thematics and physics, computer algebra software systems have become indispensable tools in theory and applications. 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, i.e., Maple, Mathematica, Axiom, etc. A key feature of the book is that it shows how scientific knowledge can advance with the use of computational tools and software.

Editorial Reviews

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

Product Details

• Hardcover: 328 pages
• Publisher: Birkhäuser Boston; 1 edition (August 1, 1996)
• Language: English
• ISBN-10: 0817639071
• ISBN-13: 978-0817639075
• Product Dimensions: 10.2 x 7.2 x 0.8 inches
• Shipping Weight: 1.8 pounds
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #3,739,164 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

6 of 8 people found the following review helpful:

5.0 out of 5 stars Alamowicz et al.'s Clifford Algebras with Computations, April 6, 2000

By 

Osher Doctorow, Ph.D. - See all my reviews

This review is from: Clifford Algebras with Numeric and Symbolic Computation Applications (Hardcover)

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.