{"product_id":"knots-and-links-paperback-9780521548311","title":"Knots and Links (Paperback) 9780521548311","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eKnots and Links\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA richly illustrated 2004 textbook on knot theory; minimal prerequisites but modern in style and content.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePeter R. Cromwell (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521548311, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 14 October 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e348 pages, 236 b\/w illus.  9 tables  118 exercises\u003cbr\u003e24.4 x 17 x 1.8 cm, 0.57 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"The book under review wil be of great help to anyone who sudies or teaches knot theory. It reflects adequately the contemporary state of the parts of the theory it covers, and the reader finishes it with a natural feeling that at some time in the future, knot theory will become an obligatory study for each math undergraduate...\"   Mathematical Reviews, Sergei K. Lando\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eKnots and links are studied by mathematicians, and are also finding increasing application in chemistry and biology. Many naturally occurring questions are often simple to state, yet finding the answers may require ideas from the forefront of research. This readable and richly illustrated 2004 book explores selected topics in depth in a way that makes contemporary mathematics accessible to an undergraduate audience. It can be used for upper-division courses, and assumes only knowledge of basic algebra and elementary topology. Together with standard topics, the book explains: polygonal and smooth presentations; the surgery equivalence of surfaces; the behaviour of invariants under factorisation and the satellite construction; the arithmetic of Conway's rational tangles; arc presentations. Alongside the systematic development of the main theory, there are discussion sections that cover historical aspects, motivation, possible extensions, and applications. Many examples and exercises are included to show both the power and limitations of the techniques developed.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. A topologist's toolkit\u003cbr\u003e 3. Link diagrams\u003cbr\u003e 4. Constructions and decompositions of  links\u003cbr\u003e 5. Spanning surfaces and genus\u003cbr\u003e 6. Matrix invariants\u003cbr\u003e 7. The Alexander-Conway polynomial\u003cbr\u003e 8. Rational tangles\u003cbr\u003e 9. More polynomials\u003cbr\u003e 10. Closed braids and arc presentations\u003cbr\u003e Appendix A. Knot diagrams\u003cbr\u003e Appendix B. Numerical invariants\u003cbr\u003e Appendix C. Properties\u003cbr\u003e Appendix D. Polynomials\u003cbr\u003e Appendix E. Polygon coordinates\u003cbr\u003e Appendix F. Family properties\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Topology [\u003ca title=\"See our other books on Topology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Topology%20%5BPBP%5D%22\"\u003ePBP\u003c\/a\u003e], Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46004149485848,"sku":"9780521548311","price":48.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521548311i_7517125e-ca3a-4ed0-8fc4-a96ab98e328c.jpg?v=1691369536","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/knots-and-links-paperback-9780521548311","provider":"Freshly Printed Books","version":"1.0","type":"link"}