000			02670nam a22003858i 4500
001			CR9781139087322
003			UkCbUP
005			20200124160237.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110512s2010||||enk o ||1 0|eng|d
020			_a9781139087322 (ebook)
020			_z9780521850056 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA331.5 _b.B655 2010
082	0	4	_a515.8 _222
100	1		_aBorwein, Jonathan M., _eauthor.
245	1	0	_aConvex functions : _bconstructions, characterizations and counterexamples / _cJonathan M. Borwein, Jon D. Vanderwerff.
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (x, 521 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 109
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aWhy convex? -- Convex functions on Euclidean spaces -- Finer structure of Euclidean spaces -- Convex functions on Banach spaces -- Duality between smoothness and strict convexity -- Further analytic topics -- Barriers and Legendre functions -- Convex functions and classifications of Banach spaces -- Monotone operators and the Fitzpatrick function -- Further remarks and notes.
520			_aLike differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by researchers and practitioners. Each chapter contains a variety of specific examples, and over 600 exercises are included, ranging in difficulty from early graduate to research level.
650		0	_aConvex functions.
650		0	_aBanach spaces.
650		0	_aGeometry, Non-Euclidean.
700	1		_aVanderwerff, Jon D., _eauthor.
776	0	8	_iPrint version: _z9780521850056
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 109.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139087322
999			_c518198 _d518196