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 concepts are extensively discussed, and no advanced background is required.

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 groups and some basic results of combinatorial group theory are assumed to be known.

Book & DVD. Geoff has been tying and testing fishing knots for over forty years and his knowledge in this field is second to none. This Special Edition of his world-wide best selling book comes in an instructional / interactive book / DVD format featuring Geoff tying his own preferred knots and rigs. Running over 144 minutes, the DVD covers how to tie knots in clear and precise detail. As we all know, the best way to learn how to tie a knot is to actually see it done! This book will be an instant best seller and is attractively presented in a hard cover edition, ideal as a gift for the discerning angler wanting to expand their fishing knowledge.

All knots are useful, but many can also be very beautiful. Here, Lindsey Philpott, expert knot tyer, sets out to provide the most comprehensive, useful, and attractive book of decorative knots from around the world. Readers will learn the materials, methods, measurements, and tools needed to tie dozens of beautiful knots. Flat knots, round knots, square knots, covering knots—you name it, and this book has it. From braids to plaits to sinnets, here are step-by-step instructions accompanied by full-color photographs for the knot tyer’s reference. Chapters include: Getting Started Purely Decorative Knots Netting and Woven Knots Turk’s Head Knots Knob Knots And much more! Philpott provides a brief history of knotting, in addition to instructions and helpful images. Practical tips, like what materials not to use will advise beginners about the details of knot tying. Once you practice the knots illustrated in these pages, you can use the information to create your own individual style—and even some new knots! Handy reference book as well as a beautiful gift, this is an essential addition to every knot enthusiast’s library.

Untie the mystery of knot-making with this clever and handy guide. This new compendium presents all the knots you need to know, with brightly colored photographs enabling you to easily follow the instructions. In addition, the book includes copious information on using knots in most popular activities. With its clear step-by-step instructions and friendly tone, this is the one volume you can count on to guide you toward quick success in knot-making. With a full range of stoppers, bends, loops, and hitches, and extensive cross references for multi-use knots, Knack Knots You Need includes more than 500 photos and instructions for knots you need for: Camping Boating Climbing Fishing Crafts Key features of Knack Knots You Need Step-by-step instructions for all knots Colorful, brand-new, easy-to-follow photography Knots for camping, boating, climbing, fishing, decorative projects, and more Knots in Action photo gallery, showing how the knots are used Get the Knack! Visually organized format makes information easier-than-ever to find More than 400 color photos to simplify the techniques Big book, layflat binding, clear instructions Big Resource chapter with useful websites

This proceedings volume presents a diverse collection of high-quality, state-of-the-art research and survey articles written by top experts in low-dimensional topology and its applications. The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology; hyperbolic knots and geometric structures of three-dimensional manifolds; the mechanism of topological surgery in physical processes, knots in Nature in the sense of physical knots with applications to polymers, DNA enzyme mechanisms, and protein structure and function. The contents is based on contributions presented at the International Conference on Knots, Low-Dimensional Topology and Applications – Knots in Hellas 2016, which was held at the International Olympic Academy in Greece in July 2016. The goal of the international conference was to promote the exchange of methods and ideas across disciplines and generations, from graduate students to senior researchers, and to explore fundamental research problems in the broad fields of knot theory and low-dimensional topology. This book will benefit all researchers who wish to take their research in new directions, to learn about new tools and methods, and to discover relevant and recent literature for future study.

Learn to tie 78 different decorative knots to create unique handmade jewelry and other accessories. How to tie beautiful Japanese, Korean, Chinese, and Celtic knots from decorative cord, hemp twine, and embroidery floss Includes 22 projects for using the knots, plus dozens of other ideas for creative uses Full instructions and step-by-step line drawings are given for each knot Knots can be used for bracelets, necklaces, anklets, pendant settings, and other jewelry, as well as bag handles, keychains, trims, button closures, and other practical uses