Ideal Knots

In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter. Contents:Ideal Knots and Their Relation to the Physics of Real Knots (A Stasiak et al.)Knots with Minimal Energies (Y Diao et al.)The Writhe of Knots and Links (E J Janse van Rensburg et al.)Entropy of a Knot: Simple Arguments About Difficult Problem (A Yu Grosberg)Knots and Fluid Dynamics (H K Moffatt)Möbius-Invariant Knot Energies (R B Kusner & J M Sullivan)Fourier Knots (L H Kauffman)and other papers Readership: Mathematicians, physicists, chemists and biologists. Keywords:Knots;Topology;Theory of Knots;Energy of Knots;Knot's Invariants;Geometry of Knots;Physics of KnotsReviews: “The authors of the articles in this book manage to put together a wide variety of ideas related to the notion of a simple representation of a knot.” Mathematical Reviews