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Knot Theoryby Vassily Manturov
CRC Press 2004; US$ 94.95Knot theory plays an importanat role in mathematics and this volume presents the main concepts of modern knot theory and applications together with full proofs so that it is accessible for undergraduates and is a useful reference for postgraduates, more...
The Shape of Spaceby Jeffrey R. Weeks
Marcel Dekker Inc 2001; US$ 43.95This lighthearted text surveys the basic geometry of two- and three-dimensional spaces - stretching students' minds as they learn to visualize new possibilities for the shape of our universe. more...
Handbook of Knot Theoryby William Menasco; Morwen Thistlethwaite
Elsevier 2005; US$ 175.00This 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, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics more...
Physical And Numerical Models In Knot Theoryby Jorge A Calvo; Kenneth C Millett; Eric J Rawdon
World Scientific 2005; US$ 165.00The 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 each year. This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating... more...
Intelligence Of Low Dimensional Topology 2006by J Scott Carter; Seiichi Kamada; Louis H Kauffman
World Scientific 2007; US$ 161.00This 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 results. more...
Knotsby Gerhard Burde; Heiner Zieschang
Walter de Gruyter, Inc. 2002; US$ 69.95An introduction to classical knot theory. Topics covered include: different constructions of knots; knot diagrams; knot groups; fibred knots and branched coverings and knots. This edition has been revised to include the Jones and homfly polynomials and the Vassiliev invariants. more...
Braid Groupsby Christian Kassel
Springer 2008; US$ 64.95In 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 subject. Relevant additional material is included in five large appendices. Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines. more...
The Mathematical Theory of Knots and Braidsby S. Moran
Elsevier 1983; US$ 223.00This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested reader to learn the basics of the subject. Emphasis is placed on covering the theory in an algebraic way. The work includes quite a number of worked examples. The latter part of the book is devoted to previously unpublished material. more...
The Mathematics of Knotsby Markus Banagl; Denis Vogel
Springer 2011; US$ 149.00The 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 survey articles are presented; numerous illustrations support the text. The book will be of great interest to researchers in topology, geometry, and mathematical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands. more...
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