{"product_id":"introduction-to-knot-theory-9780486468945","title":"Introduction to Knot Theory","description":"Hailed by the \u003ci\u003eBulletin of the American Mathematical Society\u003c\/i\u003e 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.\u003cbr\u003eStarting 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/27\/2008\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780486468945\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 182\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.55lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.00w x 0.50d","brand":"Richard H. Crowell, Ralph H. Fox","offers":[{"title":"Default Title","offer_id":36637841883292,"sku":"9780486468945","price":12.71,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/products\/img_1bff279f-a17d-45d9-84a2-89d059b64c8a.jpg?v=1603845815","url":"https:\/\/pastforward.org\/products\/introduction-to-knot-theory-9780486468945","provider":"Past Forward","version":"1.0","type":"link"}