000			02150nam a22003258i 4500
001			CR9781139173377
003			UkCbUP
005			20200124160252.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			111013s2001||||enk o ||1 0|eng|d
020			_a9781139173377 (ebook)
020			_z9780521804530 (hardback)
020			_z9780521011075 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA643 _b.G53 2001
082	0	0	_a516.3/6 _221
100	1		_aGibson, Christopher G., _d1940- _eauthor.
245	1	0	_aElementary geometry of differentiable curves : _ban undergraduate introduction / _cC.G. Gibson.
264		1	_aCambridge : _bCambridge University Press, _c2001.
300			_a1 online resource (xvii, 216 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			_aThis genuine 2001 introduction to the differential geometry of plane curves is designed as a first text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. The book assumes only foundational year mathematics: it is well illustrated, and contains several hundred worked examples and exercises, making it suitable for adoption as a course text. The basic concepts are illustrated by named curves, of historical and scientific significance, leading to the central idea of curvature. The singular viewpoint is represented by a study of contact with lines and circles, illuminating the ideas of cusp, inflexion and vertex. There are two major physical applications. Caustics are discussed via the central concepts of evolute and orthotomic. The final chapters introduce the core material of classical kinematics, developing the geometry of trajectories via the ideas of roulettes and centrodes, and culminating in the inflexion circle and cubic of stationary curvature.
650		0	_aCurves.
776	0	8	_iPrint version: _z9780521804530
856	4	0	_uhttps://doi.org/10.1017/CBO9781139173377
999			_c519670 _d519668