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Author: Gerhard Burde
Publisher: Walter de Gruyter
ISBN: 3110270781
Category : Mathematics
Languages : en
Pages : 432
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Book Description
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.
Author: Gerhard Burde
Publisher: Walter de Gruyter
ISBN: 3110270781
Category : Mathematics
Languages : en
Pages : 432
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Book Description
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.
Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 1050
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Book Description
Author: Colin Adams
Publisher: CRC Press
ISBN: 1000222381
Category : Education
Languages : en
Pages : 954
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Book Description
"Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject." – Ed Witten, Recipient of the Fields Medal "I spent a pleasant afternoon perusing the Encyclopedia of Knot Theory. It’s a comprehensive compilation of clear introductions to both classical and very modern developments in the field. It will be a terrific resource for the accomplished researcher, and will also be an excellent way to lure students, both graduate and undergraduate, into the field." – Abigail Thompson, Distinguished Professor of Mathematics at University of California, Davis Knot theory has proven to be a fascinating area of mathematical research, dating back about 150 years. Encyclopedia of Knot Theory provides short, interconnected articles on a variety of active areas in knot theory, and includes beautiful pictures, deep mathematical connections, and critical applications. Many of the articles in this book are accessible to undergraduates who are working on research or taking an advanced undergraduate course in knot theory. More advanced articles will be useful to graduate students working on a related thesis topic, to researchers in another area of topology who are interested in current results in knot theory, and to scientists who study the topology and geometry of biopolymers. Features Provides material that is useful and accessible to undergraduates, postgraduates, and full-time researchers Topics discussed provide an excellent catalyst for students to explore meaningful research and gain confidence and commitment to pursuing advanced degrees Edited and contributed by top researchers in the field of knot theory
Author: Dale Rolfsen
Publisher: American Mathematical Soc.
ISBN: 0821834363
Category : Mathematics
Languages : en
Pages : 458
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Book Description
Rolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners find an inviting introduction to the elements of topology, emphasizing the tools needed for understanding knots, the fundamental group and van Kampen's theorem, for example, which are then applied to concrete problems, such as computing knot groups. For experts, Rolfsen explains advanced topics, such as the connections between knot theory and surgery and how they are useful to understanding three-manifolds. Besides providing a guide to understanding knot theory, the book offers 'practical' training. After reading it, you will be able to do many things: compute presentations of knot groups, Alexander polynomials, and other invariants; perform surgery on three-manifolds; and visualize knots and their complements.It is characterized by its hands-on approach and emphasis on a visual, geometric understanding. Rolfsen offers invaluable insight and strikes a perfect balance between giving technical details and offering informal explanations. The illustrations are superb, and a wealth of examples are included. Now back in print by the AMS, the book is still a standard reference in knot theory. It is written in a remarkable style that makes it useful for both beginners and researchers. Particularly noteworthy is the table of knots and links at the end. This volume is an excellent introduction to the topic and is suitable as a textbook for a course in knot theory or 3-manifolds. Other key books of interest on this topic available from the AMS are ""The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace your Shoes"" and ""The Knot Book.""
Author: Timothy Davison
Publisher: Wiley
ISBN: 9780470061695
Category : Sports & Recreation
Languages : en
Pages : 0
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Book Description
An essential guide to tying knots in splash proof ring bound format This full colour, clearly illustrated book covers cover the top 10 knots everyone should know, plus coiling and throwing a rope, and whipping (stopping the end unravelling). It is part of of Fernhurst's highly popular Companion series. All Companion books feature essential information - colour coded for instant access. Designed to withstand the rigours of on-board use they are splash proof, ringbound and printed on durable laminated card. Everyone needs knots: sailors, fishermen, girl guides, etc. Features the 10 knots everyone should know. Colour sequences of drawings show how to tie the knot, step-by-step. The use, good and bad points of each knot is highlighted. Splash proof ring bound format.
Author: Colin Conrad Adams
Publisher: American Mathematical Soc.
ISBN: 0821836781
Category : Mathematics
Languages : en
Pages : 330
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Book Description
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: Llewellyn Publishing
Publisher: Llewellyn Worldwide
ISBN: 073877247X
Category : Body, Mind & Spirit
Languages : en
Pages : 176
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Book Description
Llewellyn's 2023 Witches' Companion explores the leading edge of Witchcraft and Pagan lifestyles with more than two dozen articles featuring new insights and hands-on magical practices. Ari and Jason Mankey reveal how to renew your magical self through cleaning up and letting go. Najah Lightfoot explores some of the most important movies to include in your witchy film library. Michelle Skye walks you through creating your own full moon altar that changes throughout the year. Stephanie Rose Bird discusses the importance of acknowledging magic from the African diaspora. You will also discover how to create your own Book of Shadows (Deborah Blake), use the laws of magic to increase prosperity (Diana Rajchel), make mundane moments magical (Phoenix LeFae), and increase your confidence as a witch (Melanie Marquis).
Author: William Menasco
Publisher: Elsevier
ISBN: 9780080459547
Category : Mathematics
Languages : en
Pages : 502
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Book Description
This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics
Author: CHRISTIAN.
Publisher:
ISBN:
Category :
Languages : en
Pages : 458
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Book Description
Author: Heather A. Dye
Publisher: CRC Press
ISBN: 1315362384
Category : Mathematics
Languages : en
Pages : 256
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Book Description
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.
