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Description
Introduction to Knot TheoryHailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature," this text is appropriate for advanced undergraduates and graduate students. Written by two internationally renowned mathematicians, its accessible treatment requires no previous knowledge of algebraic topology. Starting with basic definitions of knots and knot types, the text proceeds to examinations of fundamental and free groups.
Hailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature," this text is appropriate for advanced undergraduates and graduate students. Written by two internationally renowned mathematicians, its accessible treatment requires no previous knowledge of algebraic topology.Starting with basic definitions of knots and knot types, the text proceeds to examinations of fundamental and free groups. A survey of the historic foundation for the notion of group presentation is followed by a careful proof of the theorem of Tietze and several examples of its use. Subsequent chapters explore the calculation of fundamental groups, the presentation of a knot group, the free calculus and the elementary ideals, and the knot polynomials and their characteristic properties. The text concludes with three helpful appendixes and a guide to the literature.
Binding Type: Paperback
Publisher: Dover Publications
Published: 09/27/2008
ISBN: 9780486468945
Pages: 182
Weight: 0.55lbs
Size: 9.10h x 6.00w x 0.50d
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4.8 ★★★★★
Based on 19 reviews
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Product Reviews
★★★★★ 5
Doggo liked the treats
Size: 3-Pack
Doggo liked the treats
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 31, 2026
★★★★★ 1
Caused Vomiting
Size: 8-Pack
Caused my golden retriever to vomit many times throughout the day on her second birthday. Ruined the whole day for her - who wants to be throwing up all day on their birthday? Ugh.
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Reviewed in the United States on March 1, 2026
★★★★★ 5
Dog cookies
Size: 8-Pack
Very happy with these cookies. Nice big sizes and the dogs love them. They look very appetizing to humans.
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Reviewed in the United States on January 27, 2026
★★★★★ 5
Bouncy, not hard, and good value.
Style: Fetch Balls (Pack of 10), Size: 2.5 inch
Great balls for the ball launcher and not rockhard like some of the solid rubber balls. These have great bounce, and because of the two holes, they make a fun whistling noise as they fly through the air. My dogs love them and they are a good value.
By the way, if you throw them too hard, they will go through chain-link and no climb fence because they squish a bit!
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Reviewed in the United States on February 16, 2026
★★★★★ 5
Excellent dog balls — safe design and very durable
Style: Fetch Balls (Pack of 3), Size: 2.5 inch
These fetch balls from Amazon Basics are fantastic, and my dog absolutely loves them. One of the biggest reasons I prefer these over other brands is the hole that runs through the center of the ball. This is a very important safety feature: if a dog were to accidentally get the ball stuck in the back of the throat, the hole allows air to pass through. That small detail could literally make a life-saving difference.
Aside from the safety benefit, they bounce well, are easy to clean, and hold up to a lot of playtime. They’re firm but not rock-hard, and my dog goes crazy for them. Great value, great quality, and a thoughtful design.
Highly recommended for dog owners who want a safer alternative to standard solid rubber balls.
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Reviewed in the United States on December 1, 2025
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