Geometry

Download E-books An Invitation to Knot Theory: Virtual and Classical PDF

By Heather A. Dye

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

An Invitation to Knot idea: digital and Classical offers complicated undergraduate scholars a steady creation to the sphere of digital knot concept and mathematical learn. It offers the root for college kids to analyze knot thought and skim magazine articles all alone. every one bankruptcy comprises a number of examples, difficulties, initiatives, and advised readings from learn papers. The proofs are written as easily as attainable utilizing combinatorial ways, equivalence periods, 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 ahead of discussing algebraic invariants, reminiscent of the quandle and biquandle. The ebook concludes with purposes of digital knots: textiles and quantum computation.

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