The Knot Book


Book Description

Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.




The Marriage Knot


Book Description

What exactly does it take to make marriage strong? Ron and Jody Zappia were on the brink of divorce. It was their first year of marriage and already things were falling apart. They desperately searched for anything that would help. And then, suddenly, everything changed. Today, the Zappias lead The Knot Marriage Conference where they present seven transformative principles that saved their marriage. The Marriage Knot teaches these same principles to new audiences. Full of wisdom, humor, and refreshing transparency, The Marriage Knot unpacks the choices successful couples make. Marriage, like a knot, has to be kept tight. Left to itself, it loosens over time and can completely unravel. This highly practical book focuses on the everyday decisions you can make to rejuvenate and restore your marriage. Delving into topics like communication, sex, conflict resolution, and more, it offers the tools you need for life-long marriage health. Whether you’re engaged, newlyweds, or seasoned marriage veterans, this book will help make your marriage strong, no matter what pressures attempt to unravel it.




The Knot Book


Book Description

Learn how to apply the right knot in any situation - secure and strong enough for the job. Such skill can be essential to the safety and enjoyment of leisure pursuits, such as climbing, sailing and fishing. In rescue, life can depend on it. Here Geoffrey Budworth has selected over 100 of the best knots from his lifetime's experience of knots.




THE ASHLEY BOOK OF KNOTS


Book Description

What else needs to be said about knots? Almost 650 pages of incredible knowledge, presented in a truzly unique manner. This is not a book of knots, it is the BOOK OF KNOTS. Was muss noch über Knoten gesagt werden? Fast 650 Seiten unglaubliches Wissen, präsentiert in einer wahrhaft einzigartigen Weise. Dies ist kein Buch über Knoten, es ist das BUCH DER KNOTEN.




The Useful Knots Book


Book Description

Discover the Only Knots You'll Ever Need! The Useful Knots Book is a no-nonsense knot guide on how to tie the 25+ most practical rope knots. It comes with easy to follow instructions, pictures, and tips on when to best use each knot. Teach yourself knot tying today, because it's easy, fun, and useful. Get it now. The Ultimate Knots Guide * Explanations of common knots and ropes terms * Easy to follow instructions and clear pictures * Tips for proper rope care * Advice on how to choose right knot for the job * All the fundamental boy scout knots Learn the 5 Main Types of Knots and When to Use Them * Stopper Knots * Loops * Hitches * Bends * Lashing Discover all the Knots You Need ... in this complete knot tying visual guide. * From basic knots to more advanced ones * Climbing knots * Various bowline knots * Fishing knots * Boating knots * Knots for survival ... and more. Limited Time Only... Get your copy of The Useful Knots Book today and you will also receive: * Free SF Nonfiction Books new releases * Exclusive discount offers * Downloadable sample chapters * Bonus content … and more! Learn how to tie the only knots you'll ever need, because this book has the 25 most practical knots there are. Get it now.




Why Knot?


Book Description

“Mr. Petit is the perfect teacher” in this fascinating, educational volume on knot-tying—an art and science that has held civilization together (The Wall Street Journal). Philippe Petit is known for his astounding feat of daring when, on August 7, 1974, he stepped out on a wire illegally rigged between the World Trade Center’s twin towers in New York City. But beyond his balance, courage, and showmanship, there was one thing Petit had to be absolutely certain of—his knots. Without the confidence that his knots would hold, he never would have left the ground. In fact, while most of us don’t think about them beyond tying our shoelaces, the humble knot is crucial in countless contexts, from sailing to sports to industrial safety to art, agriculture, and more. In this truly unique book, Petit offers a guide to tying over sixty of his essential knots, with practical sketches illustrating his methods and clear tying instructions. Filled with photos in which special knots were used during spectacular high-wire walks, quirky knot trivia, personal anecdotes, helpful tips, magic tricks, and special tying challenges, Why Knot? will entertain and educate readers of all ages. “In reading Philippe’s book we are cogently reminded that without the ability to secure a rope, or tether a goat, or make fast the sheets of a galley, much of the civilization that we take for granted would disappear as easily as a slipknot in the hands of a Vegas conjuror.” —Sting, musician and activist “His descriptions are clear, he deploys humor frequently and he makes his points with anecdotes that are colorful and memorable. Explaining the purpose and creation of knots and thanks to those flawless drawings Mr. Petit earns perfect marks.” —The Wall Street Journal




The Alternative Knot Book


Book Description

This book offers a new, easily remembered system of knotting; examples of the most widely used knots are shown together with new knots for the same job, thus enabling the reader to develop an extensive repertoire of knots for a wide variety of practical purposes. t




The Mystery of Knots


Book Description

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.




Knot Theory


Book Description

Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important results and now plays a significant role in modern mathematics. In a unique presentation with contents not found in any other monograph, Knot Theory describes, with full proofs, the main concepts and the latest investigations in the field. The book is divided into six thematic sections. The first part discusses "pre-Vassiliev" knot theory, from knot arithmetics through the Jones polynomial and the famous Kauffman-Murasugi theorem. The second part explores braid theory, including braids in different spaces and simple word recognition algorithms. A section devoted to the Vassiliev knot invariants follows, wherein the author proves that Vassiliev invariants are stronger than all polynomial invariants and introduces Bar-Natan's theory on Lie algebra respresentations and knots. The fourth part describes a new way, proposed by the author, to encode knots by d-diagrams. This method allows the encoding of topological objects by words in a finite alphabet. Part Five delves into virtual knot theory and virtualizations of knot and link invariants. This section includes the author's own important results regarding new invariants of virtual knots. The book concludes with an introduction to knots in 3-manifolds and Legendrian knots and links, including Chekanov's differential graded algebra (DGA) construction. Knot Theory is notable not only for its expert presentation of knot theory's state of the art but also for its accessibility. It is valuable as a professional reference and will serve equally well as a text for a course on knot theory.




Virtual Knots


Book Description

The book is the first systematic research completely devoted to a comprehensive study of virtual knots and classical knots as its integral part. The book is self-contained and contains up-to-date exposition of the key aspects of virtual (and classical) knot theory.Virtual knots were discovered by Louis Kauffman in 1996. When virtual knot theory arose, it became clear that classical knot theory was a small integral part of a larger theory, and studying properties of virtual knots helped one understand better some aspects of classical knot theory and encouraged the study of further problems. Virtual knot theory finds its applications in classical knot theory. Virtual knot theory occupies an intermediate position between the theory of knots in arbitrary three-manifold and classical knot theory.In this book we present the latest achievements in virtual knot theory including Khovanov homology theory and parity theory due to V O Manturov and graph-link theory due to both authors. By means of parity, one can construct functorial mappings from knots to knots, filtrations on the space of knots, refine many invariants and prove minimality of many series of knot diagrams.Graph-links can be treated as OC diagramless knot theoryOCO: such OC linksOCO have crossings, but they do not have arcs connecting these crossings. It turns out, however, that to graph-links one can extend many methods of classical and virtual knot theories, in particular, the Khovanov homology and the parity theory.