ENGLISH

Linknot: Knot Theory by Computer (Series on Knots and Everything)

By Slavik Jablan , Radmila Sazdanovic

Book information

Publisher
World Scientific Publishing Company
Year
2007
ISBN
9789812772237, 9812772235
LCC
QA612.2 .J33 2007
Open Library ID
OL16755439M
Language
english
Format
PDF
Filesize
10 MB (10411425 bytes)
Series
Series on Knots and Everything
Pages
497\497
Topic
Computers
Time added
2010-02-18 13:16:04

Description

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.

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