- Hardcover: 439 pages
- Publisher: American Mathematical Society; 1 edition (2003)
- Language: English
- ISBN-10: 0821834363
- ISBN-13: 978-0821834367
- Product Dimensions: 25.7 x 17.5 x 2.8 cm
- Shipping Weight: 953 g
- Amazon Bestsellers Rank: #1,950,489 in Books (See Top 100 in Books)
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Product Details |
Product Description
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.
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Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
4.0 out of 5 stars (1 customer review)
1 of 1 people found the following review helpful
4.0 out of 5 stars
very good reference, Feb 8 2011
By Dash Riprock "math student" - Published on Amazon.com
Amazon Verified Purchase(What's this?)
This review is from: Knots and Links (Hardcover)
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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