Knots

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.

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 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.

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.

Download or read book Devil's Knot written by Mara Leveritt and published by Simon and Schuster. This book was released on 2003-10-21 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The award-winning investigative journalist takes readers deep inside the 1993 slayings of three boys in West Memphis, Arkansas, revealing the overzealous prosecution that may have improperly convicted three teenagers.

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.

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.