Linknot: Knot Theory By Computer

by Slavik Vlado Jablan, Radmila Sazdanovic

Overview

LinKnot — Knot Theory by Computer provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics.The book covers basic notions in knot theory, as well as new methods for handling open problems such as unknotting number, braid family representatives, invertibility, amphicheirality, undetectability, non-algebraic tangles, polyhedral links, and (2,2)-moves.Hands-on computations using Mathematica or the webMathematica package LinKnot and beautiful illustrations facilitate better learning and understanding. LinKnot is also a powerful research tool for experimental mathematics implementation of Caudron's ideas. The use of Conway notation enables experimenting with large families of knots and links.Conjectures discussed in the book are explained at length. The beauty, universality and diversity of knot theory is illuminated through various non-standard applications: mirror curves, fullerens, self-referential systems, and KL automata.

Product Details

ISBN-13:	9789812772237
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	11/20/2007
Series:	Series On Knots And Everything , #21
Pages:	500
Product dimensions:	5.90(w) x 9.00(h) x 1.30(d)