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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