000			01950cam a2200241 a 4500
003			OSt
005			20220325145201.0
008			020820s2002 enka 001 0 eng d
020			_a0521352533
040			_ctshering
082	0	0	_a514.742 MUM
100	1		_aMumford, David.
245	1	0	_aIndra's pearls : _bthe vision of Felix Klein / _cDavid Mumford; Caroline Series; David James Wright and Larry Gonick
260			_aUnited Kingdom : _aNew York : _bCambridge University Press, _c2002.
300			_axix, 395 p. : _bill. ; _c25.1 cm.
504			_aInclude index.
520			_a"Felix 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 co-existing symmetries, each simple in itself, but whose interactions produce fractals on the edge of chaos. For a century these images, which were practically impossible to draw by hand, 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 so doing found further extraordinary images of their own. Join the authors on the path from some basic mathemathical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can learn to understand what the images mean and follow the step-by-step instructions for writing computer programs that generate them. More advanced readers can see how the images relate to ideas that take them to the forefront of research.
650			_aKlein, Felix, -- 1849-1925.
650			_aGeometry. _v Symmetry.
700	1		_aSeries, Caroline.
700	1		_aWright, David James.
942			_2ddc _cBK
999			_c5969 _d5969