Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond

Released on by George Stacey Staples
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  • Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond Book Detail

  • Author : George Stacey Staples
  • Release Date : 2019-09-24
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 378
  • ISBN 13 : 9811202591
  • File Size : 41,41 MB
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Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond by George Stacey Staples PDF Summary

Book Description: Clifford algebras have many well-known applications in physics, engineering, and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graph-theoretic applications such as enumerating minimal cost paths in dynamic networks. This book provides a foundational working knowledge of zeon algebras, their properties, and their potential applications in an increasingly technological world.As a graduate-level or advanced undergraduate-level mathematics textbook, it is suitable for self-study by researchers interested in new approaches to existing combinatorial problems and applications (wireless networks, Boolean satisfiability, coding theory, etc.).As the first textbook to explore algebraic and combinatorial properties of zeon algebras in depth, it is suitable for interdisciplinary study in analysis, algebra, and combinatorics. The material is complemented by the CliffMath software package for Mathematica, which is freely available through the book's webpage.

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