Download or read book The Mathematical Theory of Knots and Braids written by S. Moran and published by Elsevier. This book was released on 2000-04-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested reader to learn the basics of the subject. Emphasis is placed on covering the theory in an algebraic way. The work includes quite a number of worked examples. The latter part of the book is devoted to previously unpublished material.

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

Download or read book Ideal Knots written by A. Stasiak and published by World Scientific. This book was released on 1998 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 and Their Invariants written by A. B. Sossinsky and published by American Mathematical Society. This book was released on 2023-05-22 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an elementary introduction to knot theory. Unlike many other books on knot theory, this book has practically no prerequisites; it requires only basic plane and spatial Euclidean geometry but no knowledge of topology or group theory. It contains the first elementary proof of the existence of the Alexander polynomial of a knot or a link based on the Conway axioms, particularly the Conway skein relation. The book also contains an elementary exposition of the Jones polynomial, HOMFLY polynomial and Vassiliev knot invariants constructed using the Kontsevich integral. Additionally, there is a lecture introducing the braid group and shows its connection with knots and links. Other important features of the book are the large number of original illustrations, numerous exercises and the absence of any references in the first eleven lectures. The last two lectures differ from the first eleven: they comprise a sketch of non-elementary topics and a brief history of the subject, including many references.

Download or read book Encyclopaedia of Mathematics Supplement III written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2007-11-23 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Download or read book The Bonds of Love Revisited written by Eyal Rozmarin and published by Routledge. This book was released on 2016-03-17 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jessica Benjamin is one of the most important and influential psychoanalysts of the last 4 decades. She is one of the founders of relational psychoanalysis, a movement that has by now expanded over the globe and was also one of the first to introduce feminism and gender studies into psychoanalytic thought. Jessica Benjamin is the most known and quoted representative of these two movements within world psychoanalysis and beyond, in philosophy, gender/women’s studies, and cultural studies department everywhere. The publication of her book, "Bonds of Love" (1989) was nothing short of a revolution. Psychoanalysis was until then a field immune to a changing world, to the unrest of the 60s, to the feminist and queer liberation movements, to the new philosophies of the Frankfurt School in Germany and post-structuralism in France. The book was a game changer. It called psychoanalysis to doubt its most basic premises on the human condition. It read Freud through a feminist framework, and through Hegel, forever tipping our perspective on infancy, gender, and the interplay of power and dependence that drives human relationships from the start. This volume marks the 25th anniversary of Benjamin’s work. Pulling together 15 international scholars, it looks back on the book's first impact, as well as on its continued relevance to psychoanalysis and gender studies today. Chapters offer theoretical deliberations and elaborations of the book's original themes as well as reflecting on it from more intimate angles, as a source of personal and professional inspiration for feminists and clinicians around the world. This book was originally published as a special issue of Studies in Gender and Sexuality.

Download or read book Static and Evolutive Treaty Interpretation written by Christian Djeffal and published by Cambridge University Press. This book was released on 2016 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: How should international treaties be interpreted over time? This book addresses what evolutive interpretation looks like in reality.

Download or read book Law as a Social Institution written by Hamish Ross and published by Bloomsbury Publishing. This book was released on 2001-06-05 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the rudiments of a sociological perspective on state law and legal theory. It outlines a distinctive approach to theoretical enquiry that offers an improved understanding of law as a social and institutional phenomenon. The book draws upon Max Weber's sociological and juristic writings as a context in which to explore themes arising or selectively developed from a critical reassessment of key aspects of H.L.A. Hart's theory of law. The discussion initially centres around three problematical areas or 'Gordian Knots': essentially weaknesses in the analytical nucleus of The Concept of Law,matters of misplaced emphasis and other elements that, it is argued, have obscured fundamental aspects of a perceived social reality. Using the critique as a point of departure the book explores key issues that Hart merely touched upon or seemingly passed over: the role of the (sociologically inclined) jurist, the defensibility of an 'institutional insider's' perspective, the institutional behavioural dimension of the legal world, and the relational and social power dynamics of law-affected human behaviour.

Download or read book The Year of Knots written by Windy Chien and published by Abrams. This book was released on 2019-09-17 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: An acclaimed artist celebrates the creative possibilities of macramé and knots in this memoir and guide featuring projects and tutorials. Every day for a year, artist Windy Chien learned to tie a new kind of knot and then shared the results on Instagram—a project that both reinvented her life and revolutionized knot art. In The Year of Knots, Chien describes how knot-making led her on a path of discovery. She shares projects, tutorials, and transformative personal stories, all aimed at inspiring readers to make knotting—and creativity in general—part of a meditative daily practice. The knots in this book are gorgeously documented step-by-step. Knotted projects abound—from wall hangings to a necklace, a dog leash, a hanging light, and more. At the heart of the story is the simple, empowering idea that a single year is all the time you need to make a life-changing creative leap.

Download or read book Dynamic Story Scripting with the ink Scripting Language written by Daniel Cox and published by Packt Publishing Ltd. This book was released on 2021-11-12 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bring your stories to life by combining the narrative scripting language, ink, with a plugin to build dialogue, quest, and procedural storytelling systems for Unity projects Key FeaturesLearn how to translate stories into ink code to create interactive projectsGain valuable insight into the ink story API to create engaging stories using the Unity pluginDevelop drop-in solutions to common narrative problems for Unity projectsBook Description ink is a narrative scripting language designed for use with game engines such as Unity through a plugin that provides an application programming interface (API) to help you to move between the branches of a story and access the values within it. Hands-On Dynamic Story Scripting with the ink Scripting Language begins by showing you how ink understands stories and how to write some simple branching projects. You'll then move on to advanced usage with looping structures, discovering how to use variables to set up dynamic events in a story and defining simple rules to create complex narratives for use with larger Unity projects. As you advance, you'll learn how the Unity plugin allows access to a running story through its API and explore the ways in which this can be used to move data in and out of an ink story to adapt to different interactions and forms of user input. You'll also work with three specific use cases of ink with Unity by writing a dialogue system and creating quest structures and other branching narrative patterns. Finally, this will help you to find out how ink can be used to generate procedural storytelling patterns for Unity projects using different forms of data input. By the end of this book, you will be able to move from a simple story to an intricate Unity project using ink to power complex narrative structures. What you will learnDiscover how ink understands stories and their partsExamine ink patterns for making branching narrativesDevelop code in Unity using the ink plugin to manipulate storiesDesign advanced projects combining ink stories with C# codeCompare common use cases for ink and Unity, such as dialogue systemsDetermine how ink can best fit into future narrative projectsWho this book is for This book is for Unity developers looking for a solution for narrative-driven projects and authors who want to create interactive story projects in Unity. Basic knowledge of Unity game engine development and related concepts is needed to get the most out of this book.

Download or read book A Gentle Introduction To Knots Links And Braids written by Ruben Aldrovandi and published by World Scientific. This book was released on 2021-10-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interface between Physics and Mathematics has been increasingly spotlighted by the discovery of algebraic, geometric, and topological properties in physical phenomena. A profound example is the relation of noncommutative geometry, arising from algebras in mathematics, to the so-called quantum groups in the physical viewpoint. Two apparently unrelated puzzles — the solubility of some lattice models in statistical mechanics and the integrability of differential equations for special problems — are encoded in a common algebraic condition, the Yang-Baxter equation. This backdrop motivates the subject of this book, which reveals Knot Theory as a highly intuitive formalism that is intimately connected to Quantum Field Theory and serves as a basis to String Theory.This book presents a didactic approach to knots, braids, links, and polynomial invariants which are powerful and developing techniques that rise up to the challenges in String Theory, Quantum Field Theory, and Statistical Physics. It introduces readers to Knot Theory and its applications through formal and practical (computational) methods, with clarity, completeness, and minimal demand of requisite knowledge on the subject. As a result, advanced undergraduates in Physics, Mathematics, or Engineering, will find this book an excellent and self-contained guide to the algebraic, geometric, and topological tools for advanced studies in theoretical physics and mathematics.

Download or read book Categorification in Geometry Topology and Physics written by Anna Beliakova and published by American Mathematical Soc.. This book was released on 2017-02-21 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorification is a powerful tool for relating various branches of mathematics and exploiting the commonalities between fields. It provides a language emphasizing essential features and allowing precise relationships between vastly different fields. This volume focuses on the role categorification plays in geometry, topology, and physics. These articles illustrate many important trends for the field including geometric representation theory, homotopical methods in link homology, interactions between higher representation theory and gauge theory, and double affine Hecke algebra approaches to link homology. The companion volume (Contemporary Mathematics, Volume 683) is devoted to categorification and higher representation theory.

Download or read book History of Topology written by I.M. James and published by Elsevier. This book was released on 1999-08-24 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.

Download or read book Knots Links Braids and 3 Manifolds written by Viktor Vasilʹevich Prasolov and published by American Mathematical Soc.. This book was released on 1997 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. The mathematical prerequisites are minimal compared to other monographs in this area. Numerous figures and problems make this book suitable as a graduate level course text or for self-study.

Download or read book Knots and Links written by Peter R. Cromwell and published by Cambridge University Press. This book was released on 2004-10-14 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: A richly illustrated 2004 textbook on knot theory; minimal prerequisites but modern in style and content.

Download or read book Energy of Knots and Conformal Geometry written by Jun O'Hara and published by World Scientific. This book was released on 2003 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problem in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting thorough numerical experiments.

Download or read book Hard Knots in Shakespeare written by Sir Philip Perring and published by . This book was released on 1885 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: