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

By Heather A. Dye

The in basic terms Undergraduate Textbook to educate either Classical and digital Knot Theory

An Invitation to Knot concept: digital and Classical provides complicated undergraduate scholars a steady advent to the sphere of digital knot thought and mathematical learn. It offers the root for college students to analyze knot thought and skim magazine articles on their lonesome. each one bankruptcy contains various examples, difficulties, initiatives, and steered readings from examine papers. The proofs are written as easily as attainable utilizing combinatorial techniques, equivalence sessions, and linear algebra.

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

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