Clifford Algebras with Numeric and Symbolic Computations

Ablamowicz, Rafal; Parra, Joseph; Lounesto, Pertti

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.

Details

Published by: Birkhäuser

Publication Date: 2012-12-12

Format: Paperback

ISBN-13: 9781461581598

DOI: 10.1007/978-1-4615-8157-4

Dimensions: 254cm x178cm

Pages: 340