History And Science Of Knots
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History And Science Of Knots
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Author : John Christopher Turner
language : en
Publisher: World Scientific
Release Date : 1996
History And Science Of Knots written by John Christopher Turner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Crafts & Hobbies categories.
In view of the explosion of mathematical theories of knots in the past decade, with consequential applications, this book sets down a brief, fragmentary history of mankind's oldest and most useful technical and decorative device - the knot.
Knots
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Author : Alekseĭ Bronislavovich Sosinskiĭ
language : en
Publisher: Harvard University Press
Release Date : 2002
Knots written by Alekseĭ Bronislavovich Sosinskiĭ and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book, written by a mathematician known for his own work on knot theory, is a clear, concise, and engaging introduction to this complicated subject, and a guide to the basic ideas and applications of knot theory. 63 illustrations.
The Knot Book
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Author : Colin Conrad Adams
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
The Knot Book written by Colin Conrad Adams 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 2004 with Mathematics categories.
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Knot Theory
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Author : Charles Livingston
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-12-31
Knot Theory written by Charles Livingston 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 1993-12-31 with Knot theory categories.
Knot Theory, a lively exposition of the mathematics of knotting, will appeal to a diverse audience from the undergraduate seeking experience outside the traditional range of studies to mathematicians wanting a leisurely introduction to the subject. Graduate students beginning a program of advanced study will find a worthwhile overview, and the reader will need no training beyond linear algebra to understand the mathematics presented. The interplay between topology and algebra, known as algebraic topology, arises early in the book when tools from linear algebra and from basic group theory are introduced to study the properties of knots. Livingston guides readers through a general survey of the topic showing how to use the techniques of linear algebra to address some sophisticated problems, including one of mathematics's most beautiful topics—symmetry. The book closes with a discussion of high-dimensional knot theory and a presentation of some of the recent advances in the subject—the Conway, Jones, and Kauffman polynomials. A supplementary section presents the fundamental group which is a centerpiece of algebraic topology.
A Gentle Introduction To Knots Links And Braids
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Author : Ruben Aldrovandi
language : en
Publisher: World Scientific
Release Date : 2021-10-14
A Gentle Introduction To Knots Links And Braids written by Ruben Aldrovandi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-14 with Science categories.
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.
Mindsteps To The Cosmos
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Author : Gerald S. Hawkins
language : en
Publisher: World Scientific
Release Date : 2002
Mindsteps To The Cosmos written by Gerald S. Hawkins and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with History categories.
Mindsteps to the Cosmos shows how modern global civilization depends on giant leaps of understanding that have been made in the past. Science and technology have been inspired and formulated by the sky OCo the cosmos in which we live. Human development could not have taken place on a cloud-shrouded planet. Mathematics was invented to track the movements of the sun, moon and stars even though back then these were thought to be gods. The space program has taken us beyond the earth, and satellite systems are exploring to the ends of the visible universe. This book provides the reader with algorithms to construct personal computer programs for finding the position of the moon and planets, and for calculating dates through historic periods in the Egyptian as well as the old and new style calendars."
Complexity
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Author : D. J. A. Welsh
language : en
Publisher: Cambridge University Press
Release Date : 1993
Complexity written by D. J. A. Welsh and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
These notes are based on a series of lectures given at the Advanced Research Institute of Discrete Applied Mathematics held at Rutgers University. Their aim is to link together algorithmic problems arising in knot theory, statistical physics and classical combinatorics. Apart from the theory of computational complexity concerned with enumeration problems, introductions are given to several of the topics treated, such as combinatorial knot theory, randomised approximation algorithms, percolation and random cluster models. To researchers in discrete mathematics, computer science and statistical physics, this book will be of great interest, but any non-expert should find it an appealing guide to a very active area of research.
Knots And Links
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Author : Peter R. Cromwell
language : en
Publisher: Cambridge University Press
Release Date : 2004-10-14
Knots And Links written by Peter R. Cromwell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-14 with Mathematics categories.
A richly illustrated 2004 textbook on knot theory; minimal prerequisites but modern in style and content.
From Teams To Knots
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Author : Yrjö Engeström
language : en
Publisher: Cambridge University Press
Release Date : 2008-04-14
From Teams To Knots written by Yrjö Engeström and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-14 with Psychology categories.
Teams are commonly celebrated as efficient and humane ways of organizing work and learning. By means of a series of in-depth case studies of teams in the United States and Finland over a time span of more than 10 years, this book shows that teams are not a universal and ahistorical form of collaboration. Teams are best understood in their specific activity contexts and embedded in historical development of work. Today, static teams are increasingly replaced by forms of fluid knotworking around runaway objects that require and generate new forms of expansive learning and distributed agency. This book develops a set of conceptual tools for analysis and design of transformations in collaborative work and learning.
The Outdoor Knots Book
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Author : Clyde Soles
language : en
Publisher: The Mountaineers Books
Release Date : 2004
The Outdoor Knots Book written by Clyde Soles and has been published by The Mountaineers Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Sports & Recreation categories.
A guide to the ropes and knots used in the outdoors by hikers, campers, paddlers, and climbers. *Guidelines for selecting the best rope and the best knot for the activity at hand *Knot-tying directions clearly illustrated with photos *New entry in the Mountaineers Outdoor Basics series It's fair to say that climber Clyde Soles is obsessed with ropes and knots and their absolute performance--since he regularly entrusts his life to ropes on sheer rock faces. His unique book explainshow to select and use ropes, cordage, and webbing for the outdoors. Invaluable information is provided on rope handling techniques (how to avoid dreaded tangles) and the best methods for rope care and maintenance. Step-by-step directions for tying over 40 knots are clearly illustrated with photographs. Other useful features include a glossary and a knot comparison chart activity. This is the definitive text on ropes and knots for anyone who plays in the outdoors!