An Invitation to Knot Theory : Virtual and Classical /
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, FL :
Chapman and Hall/CRC,
[2018]
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| Edition: | First edition. |
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| Online Access: | Connect to the full text of this electronic book |
| Abstract: | 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. |
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| Physical Description: | 1 online resource (286 pages) : 277 illustrations, text file, PDF |
| ISBN: | 9781315370750 1315370751 9781315360096 1315360098 |