000			02638nam a22003858i 4500
001			CR9781107050051
003			UkCbUP
005			20200124160321.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			130326s2002||||enk o ||1 0|eng|d
020			_a9781107050051 (ebook)
020			_z9780521352536 (hardback)
020			_z9781107564749 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA614.86 _b.M86 2002
082	0	0	_a514/.742 _221
100	1		_aMumford, David, _d1937- _eauthor.
245	1	0	_aIndra's pearls : _bthe vision of Felix Klein / _cDavid Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick.
264		1	_aCambridge : _bCambridge University Press, _c2002.
300			_a1 online resource (xix, 395 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).
505	0		_aThe language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map.
520			_aFelix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these images barely existed outside the imagination of mathematicians. However, in the 1980s, the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.
600	1	0	_aKlein, Felix, _d1849-1925.
650		0	_aFractals.
700	1		_aSeries, Caroline, _eauthor.
700	1		_aWright, David James, _eauthor.
700	1		_aGonick, Larry, _eillustrator.
776	0	8	_iPrint version: _z9780521352536
856	4	0	_uhttps://doi.org/10.1017/CBO9781107050051
999			_c521940 _d521938