Knot

Author : Vassily Olegovich Manturov
Publisher : CRC Press
ISBN 13 : 0203402847
Total Pages : 417 pages
Book Rating : 4.49/5 ( download)

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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.

Author : Oliver Old
Publisher : Springer Nature
ISBN 13 : 3658386185
Total Pages : 260 pages
Book Rating : 4.84/5 ( download)

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Download or read book Modeling Time-Varying Unconditional Variance by Means of a Free-Knot Spline-GARCH Model written by Oliver Old and published by Springer Nature. This book was released on 2022-07-27 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses the problem of a time-varying unconditional variance of return processes utilizing a spline function. The knots of the spline functions are estimated as free parameters within a joined estimation process together with the parameters of the mean, the conditional variance and the spline function. With the help of this method, the knots are placed in regions where the unconditional variance is not smooth. The results are tested within an extensive simulation study and an empirical study employing the S&P500 index.

Author : R. W. Wolfe
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.3Z/5 ( download)

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Download or read book A Summary of Modulus of Elasticity and Knot Size Surveys for Laminating Grades of Lumber written by R. W. Wolfe and published by . This book was released on 1981 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Charilaos N. Aneziris
Publisher : World Scientific
ISBN 13 : 9810238789
Total Pages : 410 pages
Book Rating : 4.80/5 ( download)

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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.

Author : Geoff Wilson
Publisher : Australian Fishing Network
ISBN 13 : 9781865131849
Total Pages : 72 pages
Book Rating : 4.49/5 ( download)

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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.

Author : M.E. Bozhüyük
Publisher : Springer Science & Business Media
ISBN 13 : 9780792322856
Total Pages : 378 pages
Book Rating : 4.51/5 ( download)

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Download or read book Topics in Knot Theory written by M.E. Bozhüyük and published by Springer Science & Business Media. This book was released on 1993-08-31 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Knot Theory is a state of the art volume which presents surveys of the field by the most famous knot theorists in the world. It also includes the most recent research work by graduate and postgraduate students. The new ideas presented cover racks, imitations, welded braids, wild braids, surgery, computer calculations and plottings, presentations of knot groups and representations of knot and link groups in permutation groups, the complex plane and/or groups of motions. For mathematicians, graduate students and scientists interested in knot theory.

Author : Cyrus L. Day
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0071474668
Total Pages : 65 pages
Book Rating : 4.65/5 ( download)

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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.

Author : Geoffrey Budworth
Publisher : Ivy Press
ISBN 13 : 0711257426
Total Pages : 178 pages
Book Rating : 4.29/5 ( download)

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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.

Author : Vasilii Olegovich Manturov
Publisher : World Scientific
ISBN 13 : 9814401137
Total Pages : 553 pages
Book Rating : 4.35/5 ( download)

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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.

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 1435726294
Total Pages : 204 pages
Book Rating : 4.91/5 ( download)

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Download or read book Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries written by Paulus Gerdes and published by Lulu.com. This book was released on 2008-06-26 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book "Lunda Geometry" explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author's research of 'sona', illustrations traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed.Several chapters were published in journals like 'Computers & Graphics' (Oxford), 'Visual Mathematics' (Belgrade), and 'Mathematics in School' (UK).