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Author: Gerhard Burde Publisher: Walter de Gruyter ISBN: 3110270781 Category : Mathematics Languages : en Pages : 432
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
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: Colin Adams Publisher: CRC Press ISBN: 1000222381 Category : Education Languages : en Pages : 954
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
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: Robert W. Ghrist Publisher: Springer ISBN: 354068347X Category : Mathematics Languages : en Pages : 218
Book Description
The closed orbits of three-dimensional flows form knots and links. This book develops the tools - template theory and symbolic dynamics - needed for studying knotted orbits. This theory is applied to the problems of understanding local and global bifurcations, as well as the embedding data of orbits in Morse-smale, Smale, and integrable Hamiltonian flows. The necesssary background theory is sketched; however, some familiarity with low-dimensional topology and differential equations is assumed.
Author: Akio Kawauchi Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110875918 Category : Mathematics Languages : en Pages : 652
Book Description
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.
Author: Nicholas Michael John Woodhouse Publisher: Oxford University Press ISBN: 0198784910 Category : Mathematics Languages : en Pages : 201
Book Description
This book contains a series of chapters by leading researchers and practitioners on community engagement approaches in the field of counterterrorism and counterinsurgency. It presents existing and emerging community engagement models in various parts of the world which could serve as effective models for governments keen to work with community leaders to manage and reduce the terrorist threat. The book emphasizes the strength of communities as central to government approaches in countering violent extremism.
Author: Timothy Davison Publisher: Wiley ISBN: 9780470061695 Category : Sports & Recreation Languages : en Pages : 0
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: Gerhard Burde
Author: Gerhard Burde
Author: Peter R. Cromwell
Author: 
Author: Colin Adams
Author: Dale Rolfsen
Author: Robert W. Ghrist
Author: Akio Kawauchi
Author: Ann Weiser Cornell
Author: Nicholas Michael John Woodhouse
Author: Timothy Davison