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Clifford Algebras and Zeons

by Staples George Stacey

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Zeon algebras at the intersection of algebra and combinatorics

$113.45 USD
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Hardcover New English

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AlbakiReads Editorial

Zeon algebras at the intersection of algebra and combinatorics

Clifford Algebras and Zeons develops a working introduction to zeon algebras, presented as subalgebras of Clifford algebras with combinatorial properties suited to graph-theoretic problems. The book connects that mathematical framework with applications including minimal-cost paths in dynamic networks, wireless networks, Boolean satisfiability, and coding theory. Its graduate and advanced undergraduate level places it between a textbook and a resource for researchers exploring combinatorial problems through algebraic methods. Coverage spans algebra, analysis, and combinatorics, with the CliffMath software package for Mathematica offered as a companion resource.

Good fit for readers who enjoy

  • Graduate or advanced undergraduate mathematics students seeking a text on zeon algebras.
  • Researchers interested in algebraic approaches to combinatorial problems.
  • Readers working across algebra, analysis, combinatorics, or the listed computational applications.

Themes

Zeon and Clifford algebrasCombinatorial and graph-theoretic applicationsDynamic networks and minimal-cost pathsInterdisciplinary mathematics

Based on publisher information and book metadata.

Book overview

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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