Clifford Algebras with Numeric and Symbolic Computations

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.

Relazione

"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

Dettagli sul prodotto

• Autori: Rafa Ablamowicz, Pertti Lounesto, Joseph Parra, Josep Parra, Rafal Ablamowicz
• Editore: Springer, Berlin
• Contenuto: Libro
• Forma del prodotto: Tascabile
• Data pubblicazione: 30.04.2013
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria
• EAN: 9781461581598
• ISBN: 978-1-4615-8159-8
• Numero di pagine: 340
• Illustrazioni: 340 p. 4 illus.
• Dimensioni (della confezione): 16.8 x 24 cm
• Categorie: Mathematik, Algebra, Naturwissenschaften, Computer, Algorithms, Calculus, Function, Wissenschaft / Naturwissenschaften, SCM1400X - Computational Mathematics and Numerical Analysis; SCM14026 - Computational Science and Engineering; SCM14042 - Mathematical Software; SCM14050 - Numerical Analysis; SCM21022 - Differential Geometry, Differentielle und Riemannsche Geometrie, Differenzialgeometrie, Zahlensysteme, Riemannsche Geometrie, Datenverarbeitung / Anwendungen / Mathematik, Statistik, Differenzialgeometrie / Riemann, Mathematik für Wissenschaftler, Mathematische und statistische Software, Geometrie / Differenzialgeometrie, Zahl - Zählen - Zahlensystem - Ziffer, geometry, Calculation, computeralgebra, finite, numericalmethods