000			02968nam a22003978i 4500
001			CR9780511721434
003			UkCbUP
005			20200124160238.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100303s1987||||enk o ||1 0|eng|d
020			_a9780511721434 (ebook)
020			_z9780521307871 (hardback)
020			_z9780521379434 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA331.5 _b.B54 1987
082	0	0	_a515.8 _219
100	1		_aBingham, N. H., _eauthor.
245	1	0	_aRegular variation / _cN.H. Bingham, C.M. Goldie, J.L. Teugels.
264		1	_aCambridge : _bCambridge University Press, _c1987.
300			_a1 online resource (xix, 491 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 27
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aKaramata theory -- Further Karamata theory -- De Haan theory -- Abelian and Tauberian theorems -- Mercerian theorems -- Applications to analytic number theory -- Applications to complex analysis -- Applications to probability theory -- Appendices.
520			_aThis book is a comprehensive account of the theory and applications of regular variation. It is concerned with the asymptotic behaviour of a real function of a real variable x which is 'close' to a power of x. Such functions are much more than a convenient extension of powers. In many limit theorems regular variation is intrinsic to the result, and exactly characterises the limit behaviour. The book emphasises such characterisations, and gives a comprehensive treatment of those applications where regular variation plays an essential (rather then merely convenient) role. The authors rigorously develop the basic ideas of Karamata theory and de Haan theory including many new results and 'second-order' theorems. They go on to discuss the role of regular variation in Abelian, Tauberian, and Mercerian theorems. These results are then applied in analytic number theory, complex analysis, and probability, with the aim above all of setting the theory in context. A widely scattered literature is thus brought together in a unified approach. With several appendices and a comprehensive list of references, analysts, number theorists, and probabilists will find this an invaluable and complete account of regular variation. It will provide a rigorous and authoritative introduction to the subject for research students in these fields.
650		0	_aFunctions of real variables.
650		0	_aCalculus.
700	1		_aGoldie, Charles M., _eauthor.
700	1		_aTeugels, Jef L., _eauthor.
776	0	8	_iPrint version: _z9780521307871
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 27.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511721434
999			_c518272 _d518270