000			02212nam a22003498i 4500
001			CR9780511809767
003			UkCbUP
005			20200124160256.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101021s2004||||enk o ||1 0|eng|d
020			_a9780511809767 (ebook)
020			_z9780521839471 (hardback)
020			_z9780521548311 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA612.2 _b.C75 2004
082	0	0	_a514/.2242 _222
100	1		_aCromwell, Peter R., _d1964- _eauthor.
245	1	0	_aKnots and links / _cPeter R. Cromwell.
246	3		_aKnots & Links
264		1	_aCambridge : _bCambridge University Press, _c2004.
300			_a1 online resource (xvii, 328 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aKnots 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.
650		0	_aKnot theory.
650		0	_aLink theory.
776	0	8	_iPrint version: _z9780521839471
856	4	0	_uhttps://doi.org/10.1017/CBO9780511809767
999			_c519971 _d519969