History And Science Of Knots

Author : J C Turner
Publisher : World Scientific
ISBN 13 : 9814499641
Total Pages : 464 pages
Book Rating : 4.44/5 ( download)

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Download or read book History and Science of Knots written by J C Turner and published by World Scientific. This book was released on 1996-05-30 with total page 464 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. Contents:Prehistory and Antiquity:Pleistocene KnottingWhy Knot? — Some Speculations on the First KnotsOn Knots and Swamps — Knots in European PrehistoryAncient Egyptian Rope and KnotsNon-European Traditions:The Peruvian QuipuThe Art of Chinese Knots Works: A Short HistoryInuit KnotsWorking Knots:Knots at SeaA History of Life Support KnotsTowards a Science of Knots?:Studies on the Behaviour of KnotsA History of Topological Knot Theory of KnotsTramblesCrochet Work — History and Computer ApplicationsDecorative Knots and Other Aspects:The History of MacraméA History of LaceHeraldic KnotsOn the True Love Knotand other papers Readership: Mathematicians, archeologists, social historians and general readers. keywords:Antiquit;Braiding;Climbing;Heraldry;History;Knots;Lace;Mariners;Prehistory;Quipus;Science;Theory;Topology;Knotting, Pleistocene;Egyptian;Inuit;Chinese;Mountaineering, Topological Knot Theory;Knot Theories;Quipo Knot Mathematics;Knot Strength Efficiency;Heraldic;True Love;Crochet;Computer Aided Design;Trambles “… it is a veritable compendium of information about every aspects of knots, from their links with quantum theory to attempts to measure their strength when tying climbing ropes together … the huge scope of this book makes it one I have turned to many times, for many different purposes.” New Scientists “I enjoyed browsing through all the chapters. They contain material that a mathematician would not normally come across in his work.” The Mathematical Intelligencer

Author : John Christopher Turner
Publisher : World Scientific
ISBN 13 : 9810224699
Total Pages : 463 pages
Book Rating : 4.91/5 ( download)

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Download or read book History and Science of Knots written by John Christopher Turner and published by World Scientific. This book was released on 1996 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Clifford W. Ashley
Publisher : BoD – Books on Demand
ISBN 13 : 3963320001
Total Pages : 630 pages
Book Rating : 4.02/5 ( download)

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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.

Author : Colin Conrad Adams
Publisher : American Mathematical Soc.
ISBN 13 : 0821836781
Total Pages : 330 pages
Book Rating : 4.81/5 ( download)

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Download or read book The Knot Book written by Colin Conrad Adams and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Gary Urton
Publisher : University of Texas Press
ISBN 13 : 1477312641
Total Pages : 320 pages
Book Rating : 4.43/5 ( download)

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Download or read book Inka History in Knots written by Gary Urton and published by University of Texas Press. This book was released on 2017-04-04 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inka khipus--spun and plied cords that record information through intricate patterns of knots and colors--constitute the only available primary sources on the Inka empire not mediated by the hands, minds, and motives of the conquering Europeans. As such, they offer direct insight into the worldview of the Inka--a view that differs from European thought as much as khipus differ from alphabetic writing, which the Inka did not possess. Scholars have spent decades attempting to decipher the Inka khipus, and Gary Urton has become the world's leading authority on these artifacts. In Inka History in Knots, Urton marshals a lifetime of study to offer a grand overview of the types of quantative information recorded in khipus and to show how these records can be used as primary sources for an Inka history of the empire that focuses on statistics, demography, and the "longue durée" social processes that characterize a civilization continuously adapting to and exploiting its environment. Whether the Inka khipu keepers were registering census data, recording tribute, or performing many other administrative tasks, Urton asserts that they were key players in the organization and control of subject populations throughout the empire and that khipu record-keeping vitally contributed to the emergence of political complexity in the Andes. This new view of the importance of khipus promises to fundamentally reorient our understanding of the development of the Inka state and the possibilities for writing its history.

Author : Louis H. Kauffman
Publisher : World Scientific
ISBN 13 : 9789810220044
Total Pages : 502 pages
Book Rating : 4.49/5 ( download)

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Download or read book Knots and Applications written by Louis H. Kauffman and published by World Scientific. This book was released on 1995 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Clyde Soles
Publisher : The Mountaineers Books
ISBN 13 : 1594852162
Total Pages : 160 pages
Book Rating : 4.69/5 ( download)

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Download or read book The Outdoor Knots Book written by Clyde Soles and published by The Mountaineers Books. This book was released on 2004-03-16 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: CLICK HERE TO DOWNLOAD A KNOT SAMPLER FROM THE CHAPTER ON "KNOTS FOR HIKING & CAMPING" (Provide us with a little information and we'll send your download directly to your inbox) * 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 explains how 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 by activity. Chapters include Knots Basics (from Tripod Lashing to the Figure 8 Loop), Knots for Hikers and Climbers (from the Prusik knot to the Autoblock), Knots for Canoeists and Kayakers (from the Buntline hitch to the Bowline on a bight), and more. This is the definitive text on ropes and knots for anyone who plays in the outdoors!

Author : Colin Adams
Publisher : Springer Science & Business Media
ISBN 13 : 9781931914222
Total Pages : 82 pages
Book Rating : 4.22/5 ( download)

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Download or read book Why Knot? written by Colin Adams and published by Springer Science & Business Media. This book was released on 2004-03-29 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Colin Adams, well-known for his advanced research in topology and knot theory, is the author of this exciting new book that brings his findings and his passion for the subject to a more general audience. This beautifully illustrated comic book is appropriate for many mathematics courses at the undergraduate level such as liberal arts math, and topology. Additionally, the book could easily challenge high school students in math clubs or honors math courses and is perfect for the lay math enthusiast. Each copy of Why Knot? is packaged with a plastic manipulative called the Tangle R. Adams uses the Tangle because "you can open it up, tie it in a knot and then close it up again." The Tangle is the ultimate tool for knot theory because knots are defined in mathematics as being closed on a loop. Readers use the Tangle to complete the experiments throughout the brief volume. Adams also presents a illustrative and engaging history of knot theory from its early role in chemistry to modern applications such as DNA research, dynamical systems, and fluid mechanics. Real math, unreal fun!

Author : Kunio Murasugi
Publisher : Springer Science & Business Media
ISBN 13 : 0817647198
Total Pages : 348 pages
Book Rating : 4.93/5 ( download)

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Download or read book Knot Theory and Its Applications written by Kunio Murasugi and published by Springer Science & Business Media. This book was released on 2009-12-29 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.

Author : Inga Johnson
Publisher : Courier Dover Publications
ISBN 13 : 0486818748
Total Pages : 192 pages
Book Rating : 4.40/5 ( download)

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Download or read book An Interactive Introduction to Knot Theory written by Inga Johnson and published by Courier Dover Publications. This book was released on 2017-01-04 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-written and engaging volume, intended for undergraduates, introduces knot theory, an area of growing interest in contemporary mathematics. The hands-on approach features many exercises to be completed by readers. Prerequisites are only a basic familiarity with linear algebra and a willingness to explore the subject in a hands-on manner. The opening chapter offers activities that explore the world of knots and links — including games with knots — and invites the reader to generate their own questions in knot theory. Subsequent chapters guide the reader to discover the formal definition of a knot, families of knots and links, and various knot notations. Additional topics include combinatorial knot invariants, knot polynomials, unknotting operations, and virtual knots.