An Invitation to Knot Theory: Virtual and Classical by Heather A. Dye

By Heather A. Dye

The merely Undergraduate Textbook to educate either Classical and digital Knot Theory

An Invitation to Knot idea: digital and Classical provides complicated undergraduate scholars a steady creation to the sector of digital knot thought and mathematical examine. It presents the basis for college students to investigate knot conception and skim magazine articles all alone. every one bankruptcy contains a number of examples, difficulties, tasks, and recommended readings from learn papers. The proofs are written as easily as attainable utilizing combinatorial techniques, equivalence sessions, and linear algebra.

The textual content starts with an advent to digital knots and counted invariants. It then covers the normalized f-polynomial (Jones polynomial) and different skein invariants earlier than discussing algebraic invariants, akin to the quandle and biquandle. The ebook concludes with functions of digital knots: textiles and quantum computation.

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