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Knot theory

Most popular at the top

  • Knotsby Gerhard Burde; Heiner Zieschang; Michael Heusener

    De Gruyter 2013; US$ 134.73

    This 3. edition is an introduction to classical knot theory. It contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main... more...

  • Braid Group, Knot Theory and Statistical Mechanicsby C.N. Yang; M.L. Ge

    World Scientific Publishing Company 1991; US$ 41.00 US$ 33.62

    Braid Group, Knot Theory and Statistical Mechanics more...

  • Braid Group, Knot Theory and Statistical Mechanics IIby C.N. Yang; M.L. Ge

    World Scientific Publishing Company 1994; US$ 82.00 US$ 67.24

    The 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 Bendsby Roger E. Miles

    World Scientific Publishing Company 1995; US$ 42.00 US$ 34.44

    A 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 Theoryby David N. Yetter

    World Scientific Publishing Company 2001; US$ 87.00 US$ 71.34

    Almost 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 Geometryby Jun O'Hara

    World Scientific Publishing Company 2003; US$ 83.00 US$ 68.06

    Energy 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...

  • Handbook of Knot Theoryby William Menasco; Morwen Thistlethwaite

    Elsevier Science 2005; US$ 185.00

    This 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 Knotsby Markus Banagl; Denis Vogel

    Springer Berlin Heidelberg 2010; US$ 157.24

    This 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 Knotsby Toshitake Kohno

    World Scientific Publishing Company 1990; US$ 79.00 US$ 64.78

    This 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 Knotsby Charilaos N. Aneziris

    World Scientific Publishing Company 1999; US$ 66.00 US$ 54.12

    One 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...