000			02781nam a22003978i 4500
001			CR9781108377362
003			UkCbUP
005			20200124160337.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			170425s2018||||enk o ||1 0|eng|d
020			_a9781108377362 (ebook)
020			_z9781108421577 (hardback)
020			_z9781108431767 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA611.28 _b.G36 2018
082	0	0	_a514/.32 _223
100	1		_aGarling, D. J. H., _eauthor.
245	1	0	_aAnalysis on Polish spaces and an introduction to optimal transportation / _cD. J. H. Garling.
264		1	_aCambridge : _bCambridge University Press, _c2018.
300			_a1 online resource (ix, 348 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society student texts ; _v89
500			_aTitle from publisher's bibliographic system (viewed on 05 Jan 2018).
505	0		_aGeneral topology -- Metric spaces -- Polish spaces, and compactness -- Semi-continuous functions -- Uniform spaces and topological groups -- Càdlàg functions -- Banach spaces -- Hilbert space -- The Hahn-Banach theorem -- Convex functions -- Subdifferentials and the legendre transform -- Compact convex Polish spaces -- Some fixed point theorems -- Abstract measure theory -- Further measure theory -- Borel measures -- Measures on Euclidean space -- Convergence of measures -- Introduction to Choquet theory -- Optimal transportation -- Wasserstein metrics -- Some examples.
520			_aA large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, contains many important special results. This book provides a detailed account of analysis and measure theory on Polish spaces, including results about spaces of probability measures. Containing more than 200 elementary exercises, it will be a useful resource for advanced mathematical students and also for researchers in mathematical analysis. The book also includes a straightforward and gentle introduction to the theory of optimal transportation, illustrating just how many of the results established earlier in the book play an essential role in the theory.
650		0	_aPolish spaces (Mathematics)
650		0	_aMathematical analysis.
650		0	_aTransportation problems (Programming)
650		0	_aTopology.
776	0	8	_iPrint version: _z9781108421577
830		0	_aLondon Mathematical Society student texts ; _v89.
856	4	0	_uhttps://doi.org/10.1017/9781108377362
999			_c523161 _d523159