Download e-book for iPad: An Invitation to Knot Theory: Virtual and Classical by Heather A. Dye

By Heather A. Dye

ISBN-10: 1498701647

ISBN-13: 9781498701648

The simply Undergraduate Textbook to coach either Classical and digital Knot Theory

An Invitation to Knot concept: digital and Classical offers complicated undergraduate scholars a steady advent to the sphere of digital knot concept and mathematical examine. It presents the root for college kids to analyze knot thought and browse magazine articles on their lonesome. each one bankruptcy contains various examples, difficulties, tasks, and prompt readings from examine papers. The proofs are written as easily as attainable utilizing combinatorial ways, equivalence periods, and linear algebra.

The textual content starts off 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 booklet concludes with purposes of digital knots: textiles and quantum computation.

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

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