000			02219nam a22003738i 4500
001			CR9780511470943
003			UkCbUP
005			20200124160236.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090122s2001||||enk o ||1 0|eng|d
020			_a9780511470943 (ebook)
020			_z9780521793216 (hardback)
020			_z9780521057110 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA614.86 _b.K54 2001
082	0	0	_a514/.742 _221
100	1		_aKigami, Jun, _eauthor.
245	1	0	_aAnalysis on fractals / _cJun Kigami.
264		1	_aCambridge : _bCambridge University Press, _c2001.
300			_a1 online resource (viii, 226 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v143
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_tGeometry of self-similar sets -- _tAnalysis on limits of networks -- _tConstruction of laplacians on P.C.F. self similar structures -- _tEigenvalues and eigenfunctions of laplacians -- _tHeat kernels.
520			_aThis book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.
650		0	_aFractals.
650		0	_aMathematical analysis.
776	0	8	_iPrint version: _z9780521793216
830		0	_aCambridge tracts in mathematics ; _v143.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511470943
999			_c518132 _d518130