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An Invitation to Knot Theory (eBook, ePUB) - Dye, Heather A.
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This text gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research, covering virtual knots, counted invariants, Jones polynomial, algebraic invariants, and applications of virtual knots. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra.

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Produktbeschreibung
This text gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research, covering virtual knots, counted invariants, Jones polynomial, algebraic invariants, and applications of virtual knots. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra.

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Autorenporträt
Heather A. Dye is an associate professor of mathematics at McKendree University in Lebanon, Illinois, where she teaches linear algebra, probability, graph theory, and knot theory. She has published articles on virtual knot theory in the Journal of Knot Theory and its Ramifications, Algebraic and Geometric Topology, and Topology and its Applications. She is a member of the American Mathematical Society (AMS) and the Mathematical Association of America (MAA).