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Tables of Contents for Ideal Knots
Chapter/Section Title
Page #
Page Count
Preface
v
Chapter 1 Ideal Knots and Their Relation to the Physics of Real Knots (6 colour plates)
1
19
A. Stasiak
J. Dubochet
V. Katritch
P. Pieranski
Chapter 2 In Search of Ideal Knots
20
22
P. Pieranski
Chapter 3 Annealing Ideal Knots and Links: Methods and Pitfalls (2 colour plates)
42
10
B. Laurie
Chapter 4 Knots with Minimal Energies
52
18
Y. Diao
C. Ernst
E. J. Janse van Rensburg
Chapter 5 The Writhe of Knots and Links
70
18
E. J. Janse van Rensburg
D. W. Summers
S. G. Whittington
Chapter 6 Minimal Lattice Knots
88
19
E. J. Janse van Rensburg
Chapter 7 Minimal Edge Piecewise Linear Knots
107
22
J. A. Calvo
K. C. Millett
Chapter 8 Entropy of a Knot: Simple Arguments About Difficult Problem
129
14
A. Yu. Grosberg
Chapter 9 Approximating the Thickness of a Knot (4 colour plates)
143
8
E. J. Rawdon
Chapter 10 Energy Functions for Knots: Beginning to Predict Physical Behaviour (2 colour plates)
151
32
J. Simon
Chapter 11 Physically-Based Stochastic Simplification of Mathematical Knots
183
24
R. P. Grzeszczuk
M. Huang
L. H. Kauffman
Colour Plates
207
16
Chapter 12 Knots and Fluid Dynamics
223
11
H. K. Moffatt
Chapter 13 Knots in Bistable Reacting Systems (1 colour plate)
234
21
A. Malevanets
R. Kapral
Chapter 14 New Developments in Topological Fluid Mechanics: From Kelvin's Vortex Knots to Magnetic Knots
255
19
R. L. Ricca
Chapter 15 Hamiltonian Approach to Knotted Solitons
274
14
A. J. Niemi
Chapter 16 Energy of Knots
288
27
J. O'Hara
Chapter 17 Mobius-Invariant Knot Energies
315
38
R. B. Kusner
J. M. Sullivan
Chapter 18 An Introduction to Harmonic Knots
353
11
A. K. Trautwein
Chapter 19 Fourier Knots
364
10
L. H. Kauffman
Chapter 20 Symmetric Knots and Billiard Knots
374
J. Przytycki