A01=Radmila Sazdanovic
A01=Slavik Vlado Jablan
Amphicheirality
Author_Radmila Sazdanovic
Author_Slavik Vlado Jablan
Braid
Category=PBPD
Conway Notation
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Experimental Mathematics
Family of Knots
Knot
Knot Theory
Link
Polynomial Invariant
Unknotting Number
Product details
- ISBN 9789812772237
- Publication Date: 20 Nov 2007
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
