000			02111nam a22003498i 4500
001			CR9781139173131
003			UkCbUP
005			20201015164114.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			111013s1997||||enk o ||1 0|eng|d
020			_a9781139173131 (ebook)
020			_z9780521594417 (hardback)
020			_z9780521594653 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA248 _b.C475 1997
082	0	0	_a511.3/22 _221
100	1		_aCiesielski, Krzysztof, _d1957- _eauthor.
245	1	0	_aSet theory for the working mathematician / _cKrzysztof Ciesielski.
264		1	_aCambridge : _bCambridge University Press, _c1997.
300			_a1 online resource (xi, 236 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 ; _v39
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThis text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of 'modern' set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or advanced level undergraduate students, this book should also interest researchers wanting to learn more about set theoretical techniques applicable to their fields.
650		0	_aSet theory.
776	0	8	_iPrint version: _z9780521594417
830		0	_aLondon Mathematical Society student texts ; _v39.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139173131
999			_c121008 _d121008