000			02214nam a22003498i 4500
001			CR9781139424509
003			UkCbUP
005			20200124160333.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			120425s2013||||enk o ||1 0|eng|d
020			_a9781139424509 (ebook)
020			_z9781107032033 (hardback)
020			_z9781107675322 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA611.28 _b.G37 2013
082	0	0	_a514/.325 _223
100	1		_aGarling, D. J. H., _eauthor.
245	1	2	_aA course in mathematical analysis. _nVolume 2, _pMetric and topological spaces, functions of a vector variable / _cD. J. H. Garling.
264		1	_aCambridge : _bCambridge University Press, _c2013.
300			_a1 online resource (x, pages 303-617) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThe three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume 1 focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume 3 covers complex analysis and the theory of measure and integration.
650		0	_aMetric spaces.
650		0	_aVector valued functions.
650		0	_aTopological spaces.
776	0	8	_iPrint version: _z9781107032033
856	4	0	_uhttps://doi.org/10.1017/CBO9781139424509
999			_c522744 _d522742