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  • The Mystery of Knotsby Charilaos N. Aneziris

    World Scientific Publishing Company 1999; US$ 107.00

    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...

  • The Mathematics of Knotsby Markus Banagl; Denis Vogel

    Springer 2010; US$ 179.00

    The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and... more...

  • Braidsby A. Jon Berrick; Frederick R. Cohen; Elizabeth Hanbury; Yan-Loi Wong; Jie Wu

    World Scientific Publishing Company 2009; US$ 172.00

    This book is an indispensable guide for anyone seeking to familarize themselves with research in braid groups, configuration spaces and their applications. Starting at the beginning, and assuming only basic topology and group theory, the volume's noted expositors take the reader through the fundamental theory and on to current research and applications... more...

  • Knotsby Gerhard Burde; Heiner Zieschang

    De Gruyter 2002; US$ 147.00

    This book is an introduction to classical knot theory. Topics covered include: different constructions of knots, knot diagrams, knot groups, fibred knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander polynomials and modules together with the free differential calculus, braids, branched coverings and... more...

  • Knotsby Gerhard Burde; Heiner Zieschang; Michael Heusener

    De Gruyter 2013; US$ 140.00

    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 properties of fundamental... more...

  • Physical And Numerical Models In Knot Theoryby Jorge A Calvo; Kenneth C Millett; Eric J Rawdon

    World Scientific Publishing Company 2005; US$ 300.00

    The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made... more...

  • Intelligence Of Low Dimensional Topology 2006by J Scott Carter; Seiichi Kamada; Louis H Kauffman

    World Scientific Publishing Company 2007; US$ 292.00

    This volume gathers the contributions from the international conference "Intelligence of Low Dimensional Topology 2006," which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest... more...

  • Knots in Hellas '98by Cameron Gordon; V. F. R. Jones; L. Kauffman; S. Lambropoulou; J. H. Przytycki

    World Scientific Publishing Company 2000; US$ 277.00

    There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds (e.g. knot complements), Gordon–Luecke work on surgeries on knots, Jones' work on invariants of links in S 3 , and advances in the theory of invariants of 3-manifolds based on Jones-... more...

  • Algebraic Invariants of Linksby Jonathan Hillman

    World Scientific Publishing Company 2012; US$ 140.00

    This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually... more...

  • Braid Groupsby Christian Kassel

    Springer 2008; US$ 64.95

    In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the... more...