Knots And Applications
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Knots And Applications
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Author : Louis H. Kauffman
language : en
Publisher: World Scientific
Release Date : 1995
Knots And Applications written by Louis H. Kauffman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
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.
Knot Theory And Its Applications
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Author : Kunio Murasugi
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-29
Knot Theory And Its Applications written by Kunio Murasugi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-29 with Mathematics categories.
Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as to problems in computer science, biological and medical research, and mathematical physics. This book is directed to a broad audience of researchers, beginning graduate students, and senior undergraduate students in these fields. The book contains most of the fundamental classical facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials; also included are key newer developments and special topics such as chord diagrams and covering spaces. The work introduces the fascinating study of knots and provides insight into applications to such studies as DNA research and graph theory. In addition, each chapter includes a supplement that consists of interesting historical as well as mathematical comments. The author clearly outlines what is known and what is not known about knots. He has been careful to avoid advanced mathematical terminology or intricate techniques in algebraic topology or group theory. There are numerous diagrams and exercises relating the material. The study of Jones polynomials and the Vassiliev invariants are closely examined. "The book ...develops knot theory from an intuitive geometric-combinatorial point of view, avoiding completely more advanced concepts and techniques from algebraic topology...Thus the emphasis is on a lucid and intuitive exposition accessible to a broader audience... The book, written in a stimulating and original style, will serve as a first approach to this interesting field for readers with various backgrounds in mathematics, physics, etc. It is the first text developing recent topics as the Jones polynomial and Vassiliev invariants on a level accessible also for non-specialists in the field." -Zentralblatt Math
Applications Of Knot Theory
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Author : American Mathematical Society. Short Course
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Applications Of Knot Theory written by American Mathematical Society. Short Course and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Over the past 20-30 years, knot theory has rekindled its historic ties with biology, chemistry, and physics as a means of creating more sophisticated descriptions of the entanglements and properties of natural phenomena - from strings to organic compounds to DNA. This volume is based on the 2008 AMS Short Course, Applications of Knot Theory. The aim of the Short Course and this volume, while not covering all aspects of applied knot theory, is to provide the reader with a mathematical appetizer, in order to stimulate the mathematical appetite for further study of this exciting field. No prior knowledge of topology, biology, chemistry, or physics is assumed. In particular, the first three chapters of this volume introduce the reader to knot theory (by Colin Adams), topological chirality and molecular symmetry (by Erica Flapan), and DNA topology (by Dorothy Buck). The second half of this volume is focused on three particular applications of knot theory. Louis Kauffman discusses applications of knot theory to physics, Nadrian Seeman discusses how topology is used in DNA nanotechnology, and Jonathan Simon discusses the statistical and energetic properties of knots and their relation to molecular biology.
Physical And Numerical Models In Knot Theory
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Author : Jorge Alberto Calvo
language : en
Publisher: World Scientific
Release Date : 2005
Physical And Numerical Models In Knot Theory written by Jorge Alberto Calvo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year. This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration of spaces of knots, knotted umbilical cords, studies of knots in DNA and proteins, and the structure of tight knots. Together, the chapters explore four major themes: physical knot theory, knot theory in the life sciences, computational knot theory, and geometric knot theory.
The Knot Bible
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Author : Bloomsbury Publishing
language : en
Publisher: A&C Black
Release Date : 2013-06-25
The Knot Bible written by Bloomsbury Publishing and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-25 with Sports & Recreation categories.
The complete and definitive bible of knots for seafarers. Featuring all the knots, hitches, bends, splices, whipping and decorative knotwork that you would find on a boat, this comprehensive bible of knots will help those who go to sea master every knot they will need. Over 200 knots are scored for strength, reliability, ease of tying (and untying) and usefulness. Step by step photographs show how to tie each knot, and demonstrate how they can be used, such as in the rigging or for tying boats up. Interesting knot know-how sections give extra information about the knot's history, plus helpful tips and techniques, including choosing the right rope for the right task and using the right knot. With a beautiful modern design, and highly illustrated with full colour photographs and instructive diagrams throughout, The Knot Bible remains accessible to all sailors of all levels of experience whilst still being the king of knot books.
Annual Report
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Author : New York (State). Department of Agriculture
language : en
Publisher:
Release Date : 1895
Annual Report written by New York (State). Department of Agriculture and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Agriculture categories.
The Mathematics Of Knots
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Author : Markus Banagl
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-25
The Mathematics Of Knots written by Markus Banagl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-25 with Mathematics categories.
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.
The Knot Bible
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Author : Nic Compton
language : en
Publisher: A&C Black
Release Date : 2013-06-20
The Knot Bible written by Nic Compton and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-20 with Sports & Recreation categories.
Featuring all the knots, hitches, bends, splices, whipping and decorative knotwork that you would find on a boat, this comprehensive bible of knots will help those who go to sea master every knot they will need. Over 200 knots are scored for strength, reliability, ease of tying (and untying) and usefulness. Step by step photographs show how to tie each knot, and demonstrate how they can be used, such as in the rigging or for tying boats up
Knots Low Dimensional Topology And Applications
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Author : Colin C. Adams
language : en
Publisher: Springer
Release Date : 2019-06-26
Knots Low Dimensional Topology And Applications written by Colin C. Adams and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-26 with Mathematics categories.
This proceedings volume presents a diverse collection of high-quality, state-of-the-art research and survey articles written by top experts in low-dimensional topology and its applications. The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology; hyperbolic knots and geometric structures of three-dimensional manifolds; the mechanism of topological surgery in physical processes, knots in Nature in the sense of physical knots with applications to polymers, DNA enzyme mechanisms, and protein structure and function. The contents is based on contributions presented at the International Conference on Knots, Low-Dimensional Topology and Applications – Knots in Hellas 2016, which was held at the International Olympic Academy in Greece in July 2016. The goal of the international conference was to promote the exchange of methods and ideas across disciplines and generations, from graduate students to senior researchers, and to explore fundamental research problems in the broad fields of knot theory and low-dimensional topology. This book will benefit all researchers who wish to take their research in new directions, to learn about new tools and methods, and to discover relevant and recent literature for future study.
Applications Of Plane And Spherical Trigonometry
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Author : Eugene Lamb Richards
language : en
Publisher:
Release Date : 1880
Applications Of Plane And Spherical Trigonometry written by Eugene Lamb Richards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1880 with Measurement categories.