Knots 90

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110875918
Total Pages : 652 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Knots 90 by : Akio Kawauchi

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.

The Complete Book of Knots

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Author :
Publisher : Bounty Books
ISBN 13 : 9780753726242
Total Pages : 160 pages
Book Rating : 4.7/5 (262 download)

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Book Synopsis The Complete Book of Knots by : Geoffrey Budworth

Download or read book The Complete Book of Knots written by Geoffrey Budworth and published by Bounty Books. This book was released on 2013-11-20 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides easy-to-follow instructions for selecting and tying more than 100 of the most useful knots. With knots for climbing, sailing and fishing, every knot contains information on its history and development, alternative names and its uses.

History And Science Of Knots

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Author :
Publisher : World Scientific
ISBN 13 : 9814499641
Total Pages : 463 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis History And Science Of Knots by : John C Turner

Download or read book History And Science Of Knots written by John C Turner and published by World Scientific. This book was released on 1996-05-30 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together twenty essays on diverse topics in the history and science of knots. It is divided into five parts, which deal respectively with knots in prehistory and antiquity, non-European traditions, working knots, the developing science of knots, and decorative and other aspects of knots.Its authors include archaeologists who write on knots found in digs of ancient sites (one describes the knots used by the recently discovered Ice Man); practical knotters who have studied the history and uses of knots at sea, for fishing and for various life support activities; a historian of lace; a computer scientist writing on computer classification of doilies; and mathematicians who describe the history of knot theories from the eighteenth century to the present day.In view of the explosion of mathematical theories of knots in the past decade, with consequential new and important scientific applications, this book is timely in setting down a brief, fragmentary history of mankind's oldest and most useful technical and decorative device — the knot.

Quipus and Witches' Knots

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Author :
Publisher : University Press of Kansas
ISBN 13 : 0700631461
Total Pages : 169 pages
Book Rating : 4.7/5 (6 download)

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Book Synopsis Quipus and Witches' Knots by : Cyrus Lawence Day

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.

The Ultimate Book of Everyday Knots

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Author :
Publisher : Simon and Schuster
ISBN 13 : 1510768165
Total Pages : 160 pages
Book Rating : 4.5/5 (17 download)

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Book Synopsis The Ultimate Book of Everyday Knots by : Geoffrey Budworth

Download or read book The Ultimate Book of Everyday Knots written by Geoffrey Budworth and published by Simon and Schuster. This book was released on 2021-08-03 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the co-founder of the International Guide of Knot Tyers, comes an oversize, easy-to follow guide perfect for sailers, campers, fishermen, climbers, and everyone else who might want or need to tie a solid, useful knot This beautifully illustrated, full-color guide unties the mysteries of more than eighty knots. Using clear photographs and diagrams, as well as straightforward, easy-to-follow instructions, any reader can master knots for fishing, boating, climbing, crafts, and household uses. Climbers will feel safer knowing they have tied the perfect Water or Tape knot. Home decorators will enjoy trying their hand at the beautiful and elaborate Chinese Cloverleaf. Fishermen will fight big fish with more confidence. Filled with fascinating knot lore, The Ultimate Book of Everyday Knots is perfect for anyone wishing to learn advanced knotting techniques for any purpose at all. Featuring illustrations throughout, sections include: Overhand knots Figure of eight knots Bowlines and sheet bends Crossing knots And other useful knots Whether for practical use or just for fun, this is a great place to start knotting—so grab a piece of rope, sit back, and enjoy!

Braid and Knot Theory in Dimension Four

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821829696
Total Pages : 329 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Braid and Knot Theory in Dimension Four by : Seiichi Kamada

Download or read book Braid and Knot Theory in Dimension Four written by Seiichi Kamada and published by American Mathematical Soc.. This book was released on 2002 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Braid theory and knot theory are related via two famous results due to Alexander and Markov. Alexander's theorem states that any knot or link can be put into braid form. Markov's theorem gives necessary and sufficient conditions to conclude that two braids represent the same knot or link. Thus, one can use braid theory to study knot theory and vice versa. In this book, the author generalizes braid theory to dimension four. He develops the theory of surface braids and applies it tostudy surface links. In particular, the generalized Alexander and Markov theorems in dimension four are given. This book is the first to contain a complete proof of the generalized Markov theorem. Surface links are studied via the motion picture method, and some important techniques of this method arestudied. For surface braids, various methods to describe them are introduced and developed: the motion picture method, the chart description, the braid monodromy, and the braid system. These tools are fundamental to understanding and computing invariants of surface braids and surface links. Included is a table of knotted surfaces with a computation of Alexander polynomials. Braid techniques are extended to represent link homotopy classes. The book is geared toward a wide audience, from graduatestudents to specialists. It would make a suitable text for a graduate course and a valuable resource for researchers.

Knots '96: Proceedings Of The Fifth International Research Institute Of Mathematical Society Of Japan

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Author :
Publisher : World Scientific
ISBN 13 : 9814546283
Total Pages : 614 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Knots '96: Proceedings Of The Fifth International Research Institute Of Mathematical Society Of Japan by : S Suzuki

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.

A Survey of Knot Theory

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034892276
Total Pages : 431 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis A Survey of Knot Theory by : Akio Kawauchi

Download or read book A Survey of Knot Theory written by Akio Kawauchi and published by Birkhäuser. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results. An indispensable book for everyone concerned with knot theory.

An Invitation to Knot Theory

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Author :
Publisher : CRC Press
ISBN 13 : 1315362384
Total Pages : 256 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis An Invitation to Knot Theory by : Heather A. Dye

Download or read book An Invitation to Knot Theory written by Heather A. Dye and published by CRC Press. This book was released on 2018-09-03 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra. The text begins with an introduction to virtual knots and counted invariants. It then covers the normalized f-polynomial (Jones polynomial) and other skein invariants before discussing algebraic invariants, such as the quandle and biquandle. The book concludes with two applications of virtual knots: textiles and quantum computation.

Lectures at Knots '96

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Publisher : World Scientific
ISBN 13 : 9812796096
Total Pages : 302 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Lectures at Knots '96 by : S. Suzuki

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.

THE ASHLEY BOOK OF KNOTS

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Author :
Publisher : BoD – Books on Demand
ISBN 13 : 3963320001
Total Pages : 630 pages
Book Rating : 4.9/5 (633 download)

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Book Synopsis THE ASHLEY BOOK OF KNOTS by : Clifford W. Ashley

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.

NASA Technical Memorandum

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Publisher :
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis NASA Technical Memorandum by : United States. National Aeronautics and Space Administration

Download or read book NASA Technical Memorandum written by United States. National Aeronautics and Space Administration and published by . This book was released on 1983 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the United States Naval Institute

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Publisher :
ISBN 13 :
Total Pages : 600 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Proceedings of the United States Naval Institute by : United States Naval Institute

Download or read book Proceedings of the United States Naval Institute written by United States Naval Institute and published by . This book was released on 1875 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surfaces in 4-Space

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Publisher : Springer Science & Business Media
ISBN 13 : 3662101629
Total Pages : 220 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Surfaces in 4-Space by : Scott Carter

Download or read book Surfaces in 4-Space written by Scott Carter and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. The last chapter comprises many recent results, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included. This book contains many new illustrations of knotted surface diagrams. The reader of the book will become intimately aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case. As a survey, the book is a guide book to the extensive literature on knotted surfaces and will become a useful reference for graduate students and researchers in mathematics and physics.

Operator's Manual

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Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Operator's Manual by :

Download or read book Operator's Manual written by and published by . This book was released on 1989 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Knotted Surfaces and Their Diagrams

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Publisher : American Mathematical Society
ISBN 13 : 1470476339
Total Pages : 273 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Knotted Surfaces and Their Diagrams by : J. Scott Carter

Download or read book Knotted Surfaces and Their Diagrams written by J. Scott Carter and published by American Mathematical Society. This book was released on 2023-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors develop the theory of knotted surfaces in analogy with the classical case of knotted curves in 3-dimensional space. In the first chapter knotted surface diagrams are defined and exemplified; these are generic surfaces in 3-space with crossing information given. The diagrams are further enhanced to give alternative descriptions. A knotted surface can be described as a movie, as a kind of labeled planar graph, or as a sequence of words in which successive words are related by grammatical changes. In the second chapter, the theory of Reidemeister moves is developed in the various contexts. The authors show how to unknot intricate examples using these moves. The third chapter reviews the braid theory of knotted surfaces. Examples of the Alexander isotopy are given, and the braid movie moves are presented. In the fourth chapter, properties of the projections of knotted surfaces are studied. Oriented surfaces in 4-space are shown to have planar projections without cusps and without branch points. Signs of triple points are studied. Applications of triple-point smoothing that include proofs of triple-point formulas and a proof of Whitney's congruence on normal Euler classes are presented. The fifth chapter indicates how to obtain presentations for the fundamental group and the Alexander modules. Key examples are worked in detail. The Seifert algorithm for knotted surfaces is presented and exemplified. The sixth chapter relates knotted surfaces and diagrammatic techniques to 2-categories. Solutions to the Zamolodchikov equations that are diagrammatically obtained are presented. The book contains over 200 illustrations that illuminate the text. Examples are worked out in detail, and readers have the opportunity to learn first-hand a series of remarkable geometric techniques.

United States Naval Institute Proceedings

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Publisher :
ISBN 13 :
Total Pages : 1512 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis United States Naval Institute Proceedings by : United States Naval Institute

Download or read book United States Naval Institute Proceedings written by United States Naval Institute and published by . This book was released on 1918 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt: