000			02153nam a22003618i 4500
001			CR9780511623738
003			UkCbUP
005			20200124160220.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090916s1985||||enk o ||1 0|eng|d
020			_a9780511623738 (ebook)
020			_z9780521256940 (hardback)
020			_z9780521337052 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA248 _b.F274 1985
082	0	0	_a515/.64 _219
100	1		_aFalconer, K. J., _d1952- _eauthor.
245	1	4	_aThe geometry of fractal sets / _cK.J. Falconer.
264		1	_aCambridge : _bCambridge University Press, _c1985.
300			_a1 online resource (xiv, 162 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v85
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThis book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust like' sets are exhibited. The theory is related by duality to Kayeka sets (sets of zero area containing lines in every direction). The final chapter includes diverse examples of sets to which the general theory is applicable: discussions of curves of fractional dimension, self-similar sets, strange attractors, and examples from number theory, convexity and so on. There is an emphasis on the basic tools of the subject such as the Vitali covering lemma, net measures and Fourier transform methods.
650		0	_aFractals.
650		0	_aGeometric measure theory.
776	0	8	_iPrint version: _z9780521256940
830		0	_aCambridge tracts in mathematics ; _v85.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511623738
999			_c516647 _d516645