Knots and links / Peter R. Cromwell.

Format:

Book

Author/Creator:

Cromwell, Peter R., 1964- author.

Series:

AMS Chelsea Publishing, v. 346

Language:

English

Subjects (All):

Knot theory.

Link theory.

Physical Description:

1 online resource (458 pages) : illustrations

Place of Publication:

Providence, Rhode Island : AMS Chelsea Publishing, 2003.

Summary:

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 andsurgery 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 stylethat makes it useful for both beginners and researchers. Particularly noteworthy is the table of knots and links at the end. This is an excellent introduction to the topic and is suitable as a textbook for a course in knot theory or 3-manifolds.

Notes:

Originally published: Berkeley, CA : Publish or Perish, c1976.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-2997-7