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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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Sturdy and easy to use
Color: Silver
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Reviewed in the United States on June 8, 2026
★★★★★ 5
Good Value
Color: Ash silver
I bought this to replace an older wine bottle winged opener that broke when I was trying to open a bottle with a synthetic cork. This one is made of heavier stainless steel and feels like it will hold up well.
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Reviewed in the United States on May 28, 2026
★★★★★ 5
Good quality
Color: 4-in-1 Wine Set - Black
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Reviewed in the United States on September 21, 2025
★★★★★ 5
Great Value
Color: 4-in-1 Wine Set - Black
Great value
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Reviewed in the United States on March 17, 2026
★★★★★ 5
Wine Opener
Color: 4-in-1 Wine Set - Black
Works great
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Reviewed in the United States on May 3, 2026