Dale Rolfsen's Books

Knots and Links

By: Dale Rolfsen

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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.

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Page Count

458

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821834363

ISBN 13

9780821834367

Ordering Braids

By: Patrick Dehornoy,Ivan Dynnikov,Dale Rolfsen,Bert Wiest

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Ordering Braids

By: Patrick Dehornoy,Ivan Dynnikov,Dale Rolfsen,Bert Wiest

Since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several different approaches have been used to understand this phenomenon. This text provides an account of those approaches, involving varied objects & domains as combinatorial group theory, self-distributive algebra & finite combinatorics.

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Page Count

339

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821844318

ISBN 13

9780821844311

Ordered Groups and Topology

By: Adam Clay,Dale Rolfsen

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Ordered Groups and Topology

By: Adam Clay,Dale Rolfsen

This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, and 3-manifolds, as well as groups of homeomorphisms and other topological structures. The book also addresses recent applications of orderability in the studies of codimension-one foliations and Heegaard-Floer homology. The use of topological methods in proving algebraic results is another feature of the book. The book was written to serve both as a textbook for graduate students, containing many exercises, and as a reference for researchers in topology, algebra, and dynamical systems. A basic background in group theory and topology is the only prerequisite for the reader.

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Page Count

167

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470431068

ISBN 13

9781470431068

Knots and Links

By: Dale Rolfsen

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Knots and Links

By: Dale Rolfsen

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Solve jigsaw puzzle

Age

Page Count

458

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821834363

ISBN 13

9780821834367

Ordering Braids

By: Patrick Dehornoy,Ivan Dynnikov,Dale Rolfsen,Bert Wiest

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Ordering Braids

By: Patrick Dehornoy,Ivan Dynnikov,Dale Rolfsen,Bert Wiest

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

339

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821844318

ISBN 13

9780821844311

Book's by Dale Rolfsen

Knots and Links

Knots and Links

Ordering Braids

Ordering Braids

Ordered Groups and Topology

Ordered Groups and Topology

Knots and Links

Knots and Links

Ordering Braids

Ordering Braids

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