Knots and Links

Rolfsen, Dale

Published by American Mathematical Society
ISBN 10: 0821834363 / ISBN 13: 9780821834367
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2003. Hardcover. Presents an 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. This book also explains topics, such as the connections between knot theory and surgery. Series: AMS Chelsea Publishing. Num Pages: 439 pages, illustrations. BIC Classification: PBPD. Category: (P) Professional & Vocational. Dimension: 184 x 262 x 28. Weight in Grams: 948. . . . . . Books ship from the US and Ireland. Bookseller Inventory #

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Synopsis: 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"".

Review: ...a gem and a classic. Every mathematics library should own a copy and every mathematician should read at least some of it. The writing is clear and engaging, while the choice of examples is genius...Rolfsen's book continues to be a beautiful introduction to some beautiful ideas. --Scott A. Taylor, MAA Reviews

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Title: Knots and Links
Publisher: American Mathematical Society
Book Condition: New

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Book Description American Mathematical Society, United States, 2004. Hardback. Book Condition: New. UK ed.. Language: English . Brand New Book. 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 . Bookseller Inventory # AAN9780821834367

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Dale Rolfsen
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Book Description American Mathematical Society, United States, 2004. Hardback. Book Condition: New. UK ed.. Language: English . Brand New Book. 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 . Bookseller Inventory # AAN9780821834367

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Book Description American Mathematical Society, 2003. Hardback. Book Condition: NEW. 9780821834367 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE01369966

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Book Description Amer Mathematical Society, 2004. Hardcover. Book Condition: Brand New. uk ed. edition. 439 pages. 10.00x7.00x1.25 inches. In Stock. Bookseller Inventory # __0821834363

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Book Description Hardback. Book Condition: New. Not Signed; 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, book. Bookseller Inventory # ria9780821834367_rkm

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Book Description Amer Mathematical Society, 2003. Hardcover. Book Condition: Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Bookseller Inventory # mon0001023669

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Rolfsen, Dale
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Book Description American Mathematical Society, 2003. Book Condition: New. 2003. Hardcover. Presents an 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. This book also explains topics, such as the connections between knot theory and surgery. Series: AMS Chelsea Publishing. Num Pages: 439 pages, illustrations. BIC Classification: PBPD. Category: (P) Professional & Vocational. Dimension: 184 x 262 x 28. Weight in Grams: 948. . . . . . . Bookseller Inventory # V9780821834367

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