ENGLISH

LinKnot: knot theory by computer

By Slavik Jablan , Radmila Sazdanovic

Book information

Publisher
World Scientific Publishing Company
Year
2007
ISBN
9812772235, 9789812772237, 9789812772244
LCC
QA612.2 .J33 2007
Open Library ID
OL16755439M
Language
english
Format
DJVU
Filesize
5 MB (4991662 bytes)
Series
Series on Knots and Everything
Edition
WS
Pages
497\497
Library
Kolxo3
DPI
600
Orientation
yes
Scanned
yes
Time added
2009-07-20 03:45:11

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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