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

By Heather A. Dye

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

An Invitation to Knot concept: digital and Classical offers complicated undergraduate scholars a gradual creation to the sector of digital knot concept and mathematical examine. It presents the basis for college kids to investigate knot thought and skim magazine articles on their lonesome. each one bankruptcy comprises a variety of examples, difficulties, initiatives, and instructed 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, reminiscent of the quandle and biquandle. The e-book concludes with functions of digital knots: textiles and quantum computation.

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