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Book Synopsis The Knot Book by : Colin Conrad Adams
Download or read book The Knot Book written by Colin Conrad Adams and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis THE ASHLEY BOOK OF KNOTS by : Clifford W. Ashley
Download or read book THE ASHLEY BOOK OF KNOTS written by Clifford W. Ashley and published by BoD – Books on Demand. This book was released on 2023-06-20 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Knot Book by : Geoffrey Budworth
Download or read book The Knot Book written by Geoffrey Budworth and published by Hachette UK. This book was released on 2012-02-02 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Why Knot? written by Philippe Petit and published by ABRAMS. This book was released on 2013-04-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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
Book Synopsis The Alternative Knot Book by : Harry Asher
Download or read book The Alternative Knot Book written by Harry Asher and published by Sheridan House Incorporated. This book was released on 1989 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Knot Theory by : Vassily Olegovich Manturov
Download or read book Knot Theory written by Vassily Olegovich Manturov and published by CRC Press. This book was released on 2004-02-24 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Mystery of Knots by : Charilaos N. Aneziris
Download or read book The Mystery of Knots written by Charilaos N. Aneziris and published by World Scientific. This book was released on 1999 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Geoff Wilson's Fishing Knots & Rigs by : Geoff Wilson
Download or read book Geoff Wilson's Fishing Knots & Rigs written by Geoff Wilson and published by Australian Fishing Network. This book was released on 2011 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Knots and Surfaces by : David W. Farmer
Download or read book Knots and Surfaces written by David W. Farmer and published by American Mathematical Soc.. This book was released on with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book leads the reader on to discover some real mathematics. There are no formulas to memorize; no procedures to follow. This book is a guide to the mathematics - it starts you in the right direction and brings you back if you stray too far. Discovery is left to you. This book is aimed at undergraduates and those with little background knowledge of mathematics.
Download or read book Knots & Splices written by Cyrus L. Day and published by Bloomsbury Publishing USA. This book was released on 2006-06-20 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a pocket-sized book on rope and wire work, splices, knots and rope work. Fully illustrated.
Book Synopsis Virtual Knots by : Vasilii Olegovich Manturov
Download or read book Virtual Knots written by Vasilii Olegovich Manturov and published by World Scientific. This book was released on 2012 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets by : Tomotada Ohtsuki
Download or read book Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets written by Tomotada Ohtsuki and published by World Scientific. This book was released on 2001-12-21 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. With the introduction of the Kontsevich invariant and the theory of Vassiliev invariants, the quantum invariants become well-organized. Quantum and perturbative invariants, the LMO invariant, and finite type invariants of 3-manifolds are discussed. The Chern-Simons field theory and the Wess-Zumino-Witten model are described as the physical background of the invariants.
Book Synopsis Knots and Applications by : Louis H. Kauffman
Download or read book Knots and Applications written by Louis H. Kauffman and published by World Scientific. This book was released on 1995 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology. Included are reprints of the work of Lord Kelvin (Sir William Thomson) on the 19th century theory of vortex atoms, reprints of modern papers on knotted flux in physics and in fluid dynamics and knotted wormholes in general relativity. It also includes papers on Witten's approach to knots via quantum field theory and applications of this approach to quantum gravity and the Ising model in three dimensions. Other papers discuss the topology of RNA folding in relation to invariants of graphs and Vassiliev invariants, the entanglement structures of polymers, the synthesis of molecular Mobius strips and knotted molecules. The book begins with an article on the applications of knot theory to the foundations of mathematics and ends with an article on topology and visual perception. This volume will be of immense interest to all workers interested in new possibilities in the uses of knots and knot theory.
Book Synopsis The Book of Knots by : Geoffrey Budworth
Download or read book The Book of Knots written by Geoffrey Budworth and published by Ivy Press. This book was released on 2021-07-13 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental skill of tying knots is useful in countless situations, both indoors and out. The Book of Knots teaches you which knot to choose and exactly how to tie it, whether you’re constructing a trout fly, repairing a hammock, mooring a boat, securing a load to a car roof rack, or engaging in a rescue or survival situation. This invaluable manual explains through clear line diagrams and step-by-step descriptions how to tie more than 125 practical knots.
Book Synopsis 50 Knots You Need to Know by : Marty Allen
Download or read book 50 Knots You Need to Know written by Marty Allen and published by Ryland Peters & Small. This book was released on 2015-04-09 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential rope-and-string tying advice for the nerdily inclined. Includes two lengths of rope to help you practice tying knots. Attention all nerds, put down that laptop and pick up this brilliant guide to tying 50 must-know knots. If you're unaware of the difference between a Cow Hitch and a Marlinspike Hoop or a Running Bowline and a Square Lashing, all will be revealed in "50 Knots You Need to Know." Packed with step-by-step instructions, discover how to tie knots to get you through any situation, whether it's nautical knots for sailing adventures or shanks and hitches for camping or climbing weekends. You will learn simple knot-making techniques that can be used for all your nerdly pursuits. And once you've graduated from the easy stuff you can move on to the more serious examples, such as a make-shift rope halter to you can use to tame a wild beast or strong knots for securing and tying things together. Also included are a couple of pieces of rope, so you can start tying knows right away. But be warned, it's VERY addictive!
Book Synopsis Differential and Symplectic Topology of Knots and Curves by : Serge Tabachnikov
Download or read book Differential and Symplectic Topology of Knots and Curves written by Serge Tabachnikov and published by American Mathematical Soc.. This book was released on 1999 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of papers on two related topics: topology of knots and knot-like objects (such as curves on surfaces) and topology of Legendrian knots and links in 3-dimensional contact manifolds. Featured is the work of international experts in knot theory ("quantum" knot invariants, knot invariants of finite type), in symplectic and contact topology, and in singularity theory. The interplay of diverse methods from these fields makes this volume unique in the study of Legendrian knots and knot-like objects such as wave fronts. A particularly enticing feature of the volume is its international significance. The volume successfully embodies a fine collaborative effort by worldwide experts from Belgium, France, Germany, Israel, Japan, Poland, Russia, Sweden, the UK, and the US.
Book Synopsis Gauge Fields, Knots And Gravity by : John C Baez
Download or read book Gauge Fields, Knots And Gravity written by John C Baez and published by World Scientific Publishing Company. This book was released on 1994-10-24 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.
