Ideal Knots

By: Vsevolod Katritch (Editor), Louis H. Kauffman (Editor), Andrzej Stasiak (Editor)

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Hardcover | 15 January 1999

At a Glance

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424 Pages

Dimensions(cm)
22.86 x 16.51 x 2.54

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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.

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Preface
Ideal Knots and Their Relation to the Physics of Real Knots (6 colour plates)	p. 1
In Search of Ideal Knots	p. 20
Annealing Ideal Knots and Links: Methods and Pitfalls (2 colour plates)	p. 42
Knots with Minimal Energies	p. 52
The Writhe of Knots and Links	p. 70
Minimal Lattice Knots	p. 88
Minimal Edge Piecewise Linear Knots	p. 107
Entropy of a Knot: Simple Arguments About Difficult Problem	p. 129
Approximating the Thickness of a Knot (4 colour plates)	p. 143
Energy Functions for Knots: Beginning to Predict Physical Behaviour (2 colour plates)	p. 151
Physically-Based Stochastic Simplification of Mathematical Knots	p. 183
Colour Plates	p. 207
Knots and Fluid Dynamics	p. 223
Knots in Bistable Reacting Systems (1 colour plate)	p. 234
New Developments in Topological Fluid Mechanics: From Kelvin's Vortex Knots to Magnetic Knots	p. 255
Hamiltonian Approach to Knotted Solitons	p. 274
Energy of Knots	p. 288
Mohius-Invariant Knot Energies	p. 315
An Introduction to Harmonic Knots	p. 353
Fourier Knots	p. 364
Symmetric Knots and Billiard Knots	p. 374
Table of Contents provided by Blackwell. All Rights Reserved.

Ideal Knots

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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RoCK Blocks for Double Covers of Symmetric Groups and Quiver Hecke Superalgebras

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Foundations of Algebraic Geometry

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Nankai Symposium on Mathematical Dialogues

Celebrating the 110th Anniversary of the birth of Prof. S.-S. Chern

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Commuting Partial Normal Subgroups and Regular Localities

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Classical Algebraic Geometry: Volume 1

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Classical Algebraic Geometry: Volume 2

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