PDF Download Knots and Links (AMS Chelsea Publishing), by Dale Rolfsen
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Knots and Links (AMS Chelsea Publishing), by Dale Rolfsen
PDF Download Knots and Links (AMS Chelsea Publishing), 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"".
- Sales Rank: #817814 in Books
- Brand: Brand: Amer Mathematical Society
- Published on: 2003-12
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x 7.00" w x 1.25" l, 2.20 pounds
- Binding: Hardcover
- 439 pages
- Used Book in Good Condition
Most helpful customer reviews
2 of 2 people found the following review helpful.
very good reference
By Dash Riprock
I'm not a knot theorist or topologist at all, but I've found this useful as a source for basic results and for picking up some basic facts about knots and low-dimensional topology. It's widely cited, and for good reasons.
Missing many important recent (and even not-so-recent by now) topics, but perhaps this is not the right place for them anyway.
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