An Invitation to Knot Theory: Virtual and Classical 1st Edition by Heather A. Dye (PDF)

Description

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot TheoryAn 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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A very good intro to the virtual knot theory. But I am waiting for an update to the Kindle version to fix missing diagrams!

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