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#### Braid Group, Knot Theory and Statistical Mechanics

World Scientific Publishing Company 1991; US$ 41.00 US$ 37.31Braid Group, Knot Theory and Statistical Mechanics more...

#### Braid Group, Knot Theory and Statistical Mechanics II

World Scientific Publishing Company 1994; US$ 82.00 US$ 74.62The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics. This book is based on the 1989 volume but has new material included and new contributors. more...

#### Symmetric Bends

World Scientific Publishing Company 1995; US$ 42.00 US$ 38.22A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible different bends, and a natural question that has probably occurred to many is: “Is there a ‘best’ bend and, if so, what is it?”Most of the well-known bends happen to be symmetric... more...

#### Functorial Knot Theory

World Scientific Publishing Company 2001; US$ 87.00 US$ 79.17Almost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures naturally arising from the considerations of cobordisms have... more...

#### Energy of Knots and Conformal Geometry

World Scientific Publishing Company 2003; US$ 83.00 US$ 75.53Energy of knots is a theory that was introduced to create a “canonical configuration” of a knot — a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a “canonical configuration” of a knot in each knot type. It also considers... more...

#### Braid Groups

Springer New York 2008; US$ 49.27The authors introduce the basic theory of braid groups, highlighting several definitions showing their equivalence. This is followed by a treatment of the relationship between braids, knots and links. Important results then look at linearity and orderability. more...

#### Handbook of Knot Theory

Elsevier Science 2005; US$ 185.00This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology,... more...

#### The Mathematics of Knots

Springer Berlin Heidelberg 2010; US$ 156.69This book offers up-to-date original research and survey articles on actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. The contents arise from the Heidelberg Knot Theory Semester of winter 2008-09. more...

#### New Developments in the Theory of Knots

World Scientific Publishing Company 1990; US$ 79.00 US$ 71.89This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field theory. This volume is helpful to topologists and mathematical physicists because existing articles are scattered in journals of many different... more...

#### The Mystery of Knots

World Scientific Publishing Company 1999; US$ 66.00 US$ 60.06One of the most significant unsolved problems in mathematics is the complete classification of knots. The main purpose of this book is to introduce the reader to the use of computer programming to obtain the table of knots. The author presents this problem as clearly and methodically as possible, starting from the very basics. Mathematical ideas and... more...