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Table of contents (20 chapters)
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Front Matter
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Verifying and Falsifying Conjectures
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Front Matter
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Differential Geometry, Quantum Mechanics, Spinors and Conformal Group
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Front Matter
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Generalized Clifford Algebras and Number Systems, Projective Geometry and Crystallography
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Front Matter
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About this book
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.
Reviews
"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
Editors and Affiliations
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Department of Mathematics, Gannon University, Erie, USA
Rafał Abłamowicz
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Department Física Fonamental, Facultat de Física, Universitat de Barcelona, Barcelona, Spain
Josep M. Parra
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Helsinki University of Technology, Espoo 15, Finland
Pertti Lounesto
Bibliographic Information
Book Title: Clifford Algebras with Numeric and Symbolic Computations
Editors: Rafał Abłamowicz, Josep M. Parra, Pertti Lounesto
DOI: https://doi.org/10.1007/978-1-4615-8157-4
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1996
Hardcover ISBN: 978-0-8176-3907-5Due: 01 August 1996
Softcover ISBN: 978-1-4615-8159-8Published: 12 December 2012
eBook ISBN: 978-1-4615-8157-4Published: 06 December 2012
Edition Number: 1
Number of Pages: 340
Number of Illustrations: 4 b/w illustrations
Topics: Algebra, Differential Geometry, Computational Mathematics and Numerical Analysis, Computational Science and Engineering, Mathematical Software, Numerical Analysis