000			01894nam a2200301Ia 4500
003			OSt
005			20250125020503.0
008			241112s9999 xx 000 0 und d
020			_a9780521337052 (pbk.) _c₹ 6,126.07
040			_bENG _cIISER-BPR
082			_a515.73 _bFAL _223rd.
100			_aFalconer, K. J. _91081
222			_aMathematics
245		4	_aThe geometry of fractal sets
250			_a1st ed.
260			_aCambridge: _bCUP, _cc1985.
300			_axiv, 162p. : _bill, ; _c23cm.
440			_aCambridge Tracts in Mathematics _92519 _vVol. 85
504			_aIncludes bibliographic references and subject index.
520			_aThe geometric measure theory of sets of integral and fractional dimension has been developed by pure mathematicians from early in this century. Recently there has been a meteoric increase in the importance of fractal sets in the sciences. Mandelbrot (1975,1977,1982) pioneered their use to model a wide variety of scientific phenomena from the molecular to the astronomical, for example: the Brownian motion of particles, turbulence in fluids, the growth of plants, geographical coastlines and surfaces, the distribution of galaxies in the universe, and even fluctuations of price on the stock exchange. Sets of fractional dimension also occur in diverse branches of pure mathematics such as the theory of numbers and non-linear differential equations. Many further examples are described in the scientific, philosophical and pictorial essays of Mandelbrot. Thus what originated as a concept in pure mathematics has found many applications in the sciences. These in turn are a fruitful source of further problems for the mathematician.
650			_aMathematics _92523
650			_aFunctional analysis _92524
650			_aTopological vector space _92525
942			_cBK _2ddc _01
942			_2ddc _cBK
947			_a5453.909
948			_a22
999			_c4221 _d4221