Download or read book Knots 90 written by Akio Kawauchi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Download or read book Knots written by Gunnhild Øyehaug and published by Farrar, Straus and Giroux. This book was released on 2017-07-11 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mesmerizing collection of playfully surreal stories from one of Norway’s most celebrated writers First published in Norway in 2004, Knots is Gunnhild Øyehaug’s radical collection of short stories that range from the surreal to the oddly mundane, and prod the discomforts of mental, sexual, and familial bonds. In both precise short-shorts and ruminative longer tales, Øyehaug meanders through the tangled, jinxed, and unavoidable conflicts of love and desire. From young Rimbaud’s thwarted passions to the scandalous disappearance of an entire family, these stories do the chilling work of tracing the outlines of what could have been in both the quietly morbid and the delightfully comical. A young man is born with an uncuttable umbilical cord and spends his life physically tethered to his mother; a tipsy uncle makes an uncomfortable toast with unforeseeable repercussions; and a dissatisfied deer yearns to be seen. As one character reflects, “You never know how things might turn out, you never know how anything will turn out, tomorrow the walls might fall down, the room disappear.” Cleverly balancing the sensuous, the surreal, and the comical, Øyehaug achieves a playful familiarity with the absurd that never overreaches the needs of her stories. Full of characters who can’t help tying knots in themselves and each other, these tales make the world just a little more strange, and introduce a major international voice of searing vision, grace, and humor.
Download or read book Quipus and Witches Knots written by Cyrus Lawence Day and published by University Press of Kansas. This book was released on 2021-10-08 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This essay in cultural anthropology provides a comprehensive view of the way primitive people in all parts of the world once utilized knots; mnemonic knots—to record dates, numbers, and cultural traditions; magic knots—to cure diseases, bewitch enemies, and control the forces of nature; and practical knots—to tie things and hold things together. In his discussion of mnemonic knots, the author analyzes the Peruvian quipus (or knot-calendars and knot-records) and suggests that the Inca astronomer-priests, known to have been accurate observers of the movements of the planets, may also have been able to predict the dates of lunar eclipses; and he shows how it is possible to manipulate the Ina abacus in accordance with the decimal system. His treatment of magic knots includes instances from Babylonian times to the present, with curious examples of the supernatural power attributed to the Hercules knot (i.e., the square knot) in Egypt, Greece, and Rome. His analysis of a little-known treatise on surgeons’ slings and nooses, written by the Green physician Heraklas, is the first detailed account of the specific practical knots used by the ancient Greeks and Romans. Quipus and Witches’ Knots, which is abundantly illustrated, often surprises the reader with the unexpected ways in which the once universal dependence of men on knots has left its mark on the language, customs, and thought of modern civilized peoples.
Download or read book Knots 96 Proceedings Of The Fifth International Research Institute Of Mathematical Society Of Japan written by S Suzuki and published by World Scientific. This book was released on 1997-04-19 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of an international conference on knot theory held in July 1996 at Waseda University Conference Center. It was organised by the International Research Institute of Mathematical Society of Japan. The conference was attended by nearly 180 mathematicians from Japan and 14 other countries. Most of them were specialists in knot theory. The volume contains 43 papers, which deal with significant current research in knot theory, low-dimensional topology and related topics.The volume includes papers by the following invited speakers: G Burde, R Fenn, L H Kauffman, J Levine, J M Montesinos(-A), H R Morton, K Murasugi, T Soma, and D W Sumners.
Download or read book Lectures at Knots 96 written by S. Suzuki and published by World Scientific. This book was released on 1997 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of nine lectures given at an international workshop on knot theory held in July 1996 at Waseda University Conference Centre. It was organized by the International Research Institute of Mathematical Society of Japan. The workshop was attended by nearly 170 mathematicians from Japan and 14 other countries, most of whom were specialists in knot theory. The lectures can serve as an introduction to the field for advanced undergraduates, graduates and also researchers working in areas such as theoretical physics and molecular biology.
Download or read book Knots written by Gerhard Burde and published by Walter de Gruyter. This book was released on 2013-11-27 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book Surface Knots in 4 Space written by Seiichi Kamada and published by Springer. This book was released on 2017-03-28 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field.Knot theory is one of the most active research fields in modern mathematics. Knots and links are closed curves (one-dimensional manifolds) in Euclidean 3-space, and they are related to braids and 3-manifolds. These notions are generalized into higher dimensions. Surface-knots or surface-links are closed surfaces (two-dimensional manifolds) in Euclidean 4-space, which are related to two-dimensional braids and 4-manifolds. Surface-knot theory treats not only closed surfaces but also surfaces with boundaries in 4-manifolds. For example, knot concordance and knot cobordism, which are also important objects in knot theory, are surfaces in the product space of the 3-sphere and the interval.Included in this book are basics of surface-knots and the related topics of classical knots, the motion picture method, surface diagrams, handle surgeries, ribbon surface-knots, spinning construction, knot concordance and 4-genus, quandles and their homology theory, and two-dimensional braids.
Download or read book Ideal Knots written by Vsevolod Katritch and published by World Scientific. This book was released on 1998-12-31 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter.
Download or read book Knots Links Spatial Graphs and Algebraic Invariants written by Erica Flapan and published by American Mathematical Soc.. This book was released on 2017-05-19 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs, both held from October 24–25, 2015, at California State University, Fullerton, CA. Included in this volume are articles that draw on techniques from geometry and algebra to address topological problems about knot theory and spatial graph theory, and their combinatorial generalizations to equivalence classes of diagrams that are preserved under a set of Reidemeister-type moves. The interconnections of these areas and their connections within the broader field of topology are illustrated by articles about knots and links in spatial graphs and symmetries of spatial graphs in and other 3-manifolds.
Download or read book Knots And Physics Second Edition written by Louis H Kauffman and published by World Scientific. This book was released on 1994-01-15 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second edition, the following recent papers have been added: “Gauss Codes, Quantum Groups and Ribbon Hopf Algebras”, “Spin Networks, Topology and Discrete Physics”, “Link Polynomials and a Graphical Calculus” and “Knots Tangles and Electrical Networks”. An appendix with a discussion on invariants of embedded graphs and Vassiliev invariants has also been included.This book is an introduction to knot and link invariants as generalized amplitudes (vacuum-vacuum amplitudes) for a quasi-physical process. The demands of knot theory, coupled with a quantum statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas. This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. Part II is a set of lectures on various topics related to and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics and knots in dynamical systems.
Download or read book Knots and Physics written by Louis H. Kauffman and published by World Scientific. This book was released on 2013 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics.
Download or read book Knots And Physics Third Edition written by Louis H Kauffman and published by World Scientific. This book was released on 2001-07-26 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems.In this third edition, a paper by the author entitled “Knot Theory and Functional Integration” has been added. This paper shows how the Kontsevich integral approach to the Vassiliev invariants is directly related to the perturbative expansion of Witten's functional integral. While the book supplies the background, this paper can be read independently as an introduction to quantum field theory and knot invariants and their relation to quantum gravity. As in the second edition, there is a selection of papers by the author at the end of the book. Numerous clarifying remarks have been added to the text.
Download or read book Knots written by Brion Toss and published by Hearst Communications. This book was released on 2003-06-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete, comprehensive, and useful book devoted to nautical knots. Well-known rigger Brion Toss covers more than 100 knots, describing for each its uses, advantages, and disadvantages, and explaining in simple, step-by-step, fully illustrated instructions how to tie it. Illustrated.
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!
Download or read book Gauss Diagram Invariants for Knots and Links written by T. Fiedler and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gauss diagram invariants are isotopy invariants of oriented knots in- manifolds which are the product of a (not necessarily orientable) surface with an oriented line. The invariants are defined in a combinatorial way using knot diagrams, and they take values in free abelian groups generated by the first homology group of the surface or by the set of free homotopy classes of loops in the surface. There are three main results: 1. The construction of invariants of finite type for arbitrary knots in non orientable 3-manifolds. These invariants can distinguish homotopic knots with homeomorphic complements. 2. Specific invariants of degree 3 for knots in the solid torus. These invariants cannot be generalized for knots in handlebodies of higher genus, in contrast to invariants coming from the theory of skein modules. 2 3. We introduce a special class of knots called global knots, in F x lR and we construct new isotopy invariants, called T-invariants, for global knots. Some T-invariants (but not all !) are of finite type but they cannot be extracted from the generalized Kontsevich integral, which is consequently not the universal invariant of finite type for the restricted class of global knots. We prove that T-invariants separate all global knots of a certain type. 3 As a corollary we prove that certain links in 5 are not invertible without making any use of the link group! Introduction and announcement This work is an introduction into the world of Gauss diagram invariants.
Download or read book The Mathematics of Knots written by Markus Banagl and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented; numerous illustrations support the text. The book will be of great interest to researchers in topology, geometry, and mathematical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands.
