An Invitation To Knot Theory: Virtual And Classical hardcover english
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| Publisher | Taylor & Francis Inc |
| ISBN 13 | 9781498701648 |
| ISBN 10 | 1498701647 |
| Book Subtitle | Virtual And Classical |
| Book Description | The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. 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. The text begins with an introduction to virtual knots and counted invariants. It then covers the normalized f-polynomial (Jones polynomial) and other skein invariants before discussing algebraic invariants, such as the quandle and biquandle. The book concludes with two applications of virtual knots: textiles and quantum computation. |
| Editorial Review | "This text provides an excellent entry point into virtual knot theory for undergraduates. Beginning with few prerequisites, the reader will advance to master the combinatorial and algebraic techniques that are most often employed in the literature. A student-centered book on the multiverse of knots (i.e., virtual knots, flat knots, free knots, welded knots, and pseudo knots) has long been awaited. The text aims not only to advertise recent developments in the field but to bring students to a point where they can begin thinking about interesting problems on their own. Each chapter contains not only exercises but projects, lists of open problems, and a carefully curated reading list. Students preparing to embark on an undergraduate research project in knot theory or virtual knot theory will greatly benefit from reading this well-written book!" -Micah Chrisman, Ph.D., Associate Professor, Monmouth University |
| About the Author | 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). |
| Language | English |
| Author | Heather A. Dye |
| Number of Pages | 256 |
An Invitation To Knot Theory: Virtual And Classical hardcover english
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