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Mod Knots

Mod Knots
Author: Cathi Milligan
Publisher: Penguin
Total Pages: 128
Release: 2009-04-14
Genre: Crafts & Hobbies
ISBN: 1440315655

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Yes, it's macramé! Creating fabulous jewelry, accessories and even clothing is fantastically easy with macramé. Yes, macramé. The art of knotting is oh-so simple. And oh-so fun, too. Whether you're a first time knotter or a pro at the craft, you'll love the fresh spin that Mod Knots puts on the traditional craft of macramé. Inside you'll learn step by step the basic techniques of macramé as well as how to create 25 projects from yarn, leather, cord and even wire. Your wardrobe will never be the same once you start creating necklaces, bracelets and earrings for every occasion, belts to match any outfit, incredibly soft and cozy scarves, and even one-of-a-kind purses and bags. Let Mod Knots show you all there is to love about macramé!


Knots

Knots
Author: Gerhard Burde
Publisher: Walter de Gruyter
Total Pages: 432
Release: 2013-11-27
Genre: Mathematics
ISBN: 3110270781

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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.


Knots 90

Knots 90
Author: Akio Kawauchi
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 652
Release: 2014-07-24
Genre: Mathematics
ISBN: 3110875918

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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.


Ideal Knots

Ideal Knots
Author: A. Stasiak
Publisher: World Scientific
Total Pages: 426
Release: 1998
Genre: Crafts & Hobbies
ISBN: 981279607X

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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.


Knots and Primes

Knots and Primes
Author: Masanori Morishita
Publisher: Springer Nature
Total Pages: 268
Release:
Genre:
ISBN: 9819992559

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Knot Theory

Knot Theory
Author: Charles Livingston
Publisher: American Mathematical Soc.
Total Pages: 240
Release: 1993-12-31
Genre: Knot theory
ISBN: 1614440239

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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.


The Branched Cyclic Coverings of 2 Bridge Knots and Links

The Branched Cyclic Coverings of 2 Bridge Knots and Links
Author: Jerome Minkus
Publisher: American Mathematical Soc.
Total Pages: 75
Release: 1982
Genre: Knot theory
ISBN: 0821822551

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In this paper a family of closed oriented 3 dimensional manifolds {[italic]M[subscript italic]n([italic]k,[italic]h)} is constructed by pasting together pairs of regions on the boundary of a 3 ball. The manifold [italic]M[subscript italic]n([italic]k,[italic]h) is a generalization of the lens space [italic]L([italic]n,1) and is closely related to the 2 bridge knot or link of type ([italic]k,[italic]h). While the work is basically geometrical, examination of [lowercase Greek]Pi1([italic]M[subscript italic]n([italic]k,[italic]h)) leads naturally to the study of "cyclic" presentations of groups. Abelianizing these presentations gives rise to a formula for the Alexander polynomials of 2 bridge knots and to a description of [italic]H1([italic]M[subscript italic]n([italic]k,[italic]h), [italic]Z) by means of circulant matrices whose entries are the coefficients of these polynomials.


Primes and Knots

Primes and Knots
Author: Toshitake Kohno
Publisher: American Mathematical Soc.
Total Pages: 298
Release: 2006
Genre: Mathematics
ISBN: 0821834568

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This volume deals systematically with connections between algebraic number theory and low-dimensional topology. Of particular note are various inspiring interactions between number theory and low-dimensional topology discussed in most papers in this volume. For example, quite interesting are the use of arithmetic methods in knot theory and the use of topological methods in Galois theory. Also, expository papers in both number theory and topology included in the volume can help a wide group of readers to understand both fields as well as the interesting analogies and relations that bring them together.


The Mathematics of Knots

The Mathematics of Knots
Author: Markus Banagl
Publisher: Springer Science & Business Media
Total Pages: 363
Release: 2010-11-25
Genre: Mathematics
ISBN: 3642156371

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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 Mystery of Knots

The Mystery of Knots
Author: Charilaos N. Aneziris
Publisher: World Scientific
Total Pages: 410
Release: 1999
Genre: Mathematics
ISBN: 9812796061

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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.