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Clifford Algebras and Zeons: Geometry to Combinatorics and Beyond

SKU: 9789811202599

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Additional information

Full Title

Clifford Algebras and Zeons: Geometry to Combinatorics and Beyond

Author(s)

George Stacey Staples

Edition
ISBN

9789811202599, 9789811202575, 9789811202582

Publisher

World Scientific

Format

PDF and EPUB

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.