| Preface to the First Edition |
| Preface to the Second Edition |
| Preface to the Third Edition |
| A Short Course of Knots and Physics / Part I.： |
| Physical Knots / 1.： |
| Diagrams and Moves / 2.： |
| States and the Bracket Polynomial / 3.： |
| Alternating Links and Checkerboard Surfaces / 4.： |
| The Jones Polynomial and its Generalizations / 5.： |
| An Oriented State Model for V[subscript K](t) / 6.： |
| Braids and the Jones Polynomial / 7.： |
| Abstract Tensors and the Yang-Baxter Equation / 8.： |
| Formal Feynman Diagrams, Bracket as a Vacuum-Vacuum Expectation and the Quantum Group SL(2)[subscript q] / 9.： |
| The Form of the Universal R-matrix / 10.： |
| Yang-Baxter Models for Specializations of the Homfly Polynomial / 11.： |
| The Alexander Polynomial / 12.： |
| Knot-Crystals - Classical Knot Theory in a Modern Guise / 13.： |
| The Kauffman Polynomial / 14.： |
| Oriented Models and Piecewise Linear Models / 15.： |
| Three Manifold Invariants from the Jones Polynomial / 16.： |
| Integral Heuristics and Witten's Invariants / 17.： |
| Appendix - Solutions to the Yang-Baxter Equation / 18.： |
| Knots and Physics--Miscellany / Part II.： |
| Theory of Hitches |
| The Rubber Band and Twisted Tube |
| On a Crossing |
| Slide Equivalence |
| Unoriented Diagrams and Linking Numbers |
| The Penrose Chromatic Recursion |
| The Chromatic Polynomial |
| The Potts Model and the Dichromatic Polynomial |
| Preliminaries for Quantum Mechanics, Spin Networks and Angular Momentum |
| Quaternions, Cayley Numbers and the Belt Trick |
| The Quaternion Demonstrator |
| The Penrose Theory of Spin Networks |
| Q-Spin Networks and the Magic Weave |
| Knots and Strings - Knotted Strings |
| DNA and Quantum Field Theory |
| Knots in Dynamical Systems - The Lorenz Attractor |
| Coda |
| References |
| Index |
| Appendix |
| Introduction |
| Gauss Codes, Quantum Groups and Ribbon Hopf Algebras |
| Spin Networks, Topology and Discrete Physics |
| Link Polynomials and a Graphical Calculus / P. Vogel |
| Knots, Tangles, and Electrical Networks / J. R. Goldman |
| Knot Theory and Functional Integration |
| Preface to the First Edition |
| Preface to the Second Edition |
| Preface to the Third Edition |
| A Short Course of Knots and Physics / Part I.： |
| Physical Knots / 1.： |
| Diagrams and Moves / 2.： |
